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SPIRES-BOOKS: FIND KEYWORD GAUGE INVARIANCE *END*INIT* use /tmp/qspiwww.webspi1/11216.16 QRY 131.225.70.96 . find keyword gauge invariance ( in books using www Cover
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Call number:9789402409994:ONLINE Show nearby items on shelf
Title:Lattice Quantum Chromodynamics Practical Essentials
Author(s): Francesco Knechtli
Date:2017
Size:1 online resource (XIII, 140 p. 12 illus., 1 illus. in color p.)
Contents:Quantum Field Theory (QFT) on the Lattice -- A brief history of quarks and gluons -- Classical fields and gauge invariance -- Hamiltonian and path integral formulations of quantum mechanics -- Quantum fields on a lattice -- Recovering
continuum QCD -- Further reading -- Monte Carlo methods -- Markov chain Monte Carlo -- Sampling Yang–Mills gauge fields -- Hybrid Monte Carlo -- Symplectic integration schemes -- Summary and Further reading -- Handling fermions on the
lattice -- Wick contractions -- Sparse Linear Algebra -- Fermion determinant -- HMC with fermions revisited -- The quark propagator from a point source -- All-to-all quark propagators -- Summary and Further reading -- Calculating
observables of quantum fields -- Symmetry properties of creation and annihilation operators -- Techniques for hadron spectroscopy -- Gluons, Wilson Loops and glueballs -- Quarks and hadron physics -- Statistical data analysis --
Summary -- A Notational conventions -- A.1 SU(N) notation -- A.2 Fermions -- A.3 Probability spaces -- References
ISBN:9789402409994
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Computers , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Quantum Field Theories, String Theory , Elementary Particles, Quantum Field Theory , Computing Methodologies , Mathematical Physics
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Call number:9783319176956:ONLINE Show nearby items on shelf
Title:Gauge invariance and Weyl-polymer quantization [electronic resource]
Author(s): Franco Strocchi
Date:2016
Publisher:Springer
Size:1 online resource (97 p.)
Contents:Introduction -- Heisenberg quantization and Weyl quantization -- Delocalization, gauge invariance and non-regular representations -- Quantum mechanical gauge models -- Non-regular representations in quantum field theory -- Diffeomorphism invariance and Weyl polymer quantization -- A generalization of Stone-von Neumann theorem.- Bibliography -- Index.
ISBN:9783319176949
Series:Lecture Notes in Physics, v. 904
Series:eBooks
Series:SpringerLink
Keywords: Gauge invariance.
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Call number:9781493932108:ONLINE Show nearby items on shelf
Title:Towards a Theory of Spacetime Theories
Author(s):
Date:2017
Publisher:New York, NY : Springer New York
Size:1 online resource (VIII, 335 p. 7 illus p.)
Contents:Inertial Motion, Explanation, and the Foundations of Classical Spacetime Theories -- A Primer on Energy Conditions -- Background Independence, Diffeomorphism Invariance, and the Meaning of Coordinates -- Gauge Theory of Gravity and
Spacetime -- Paving the Way for Transitions - A Case for Weyl Geometry -- A Model-theoretic Analysis of Spacetime Theories -- The Relativity and Equivalence Principles for Self-gravitating Systems -- The Physical Significance of
Symmetries from the Perspective of Conservation Laws -- Raisers of the Lost Spacetime -- Does Time Exist in Quantum Gravity?
ISBN:9781493932108
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Differential geometry , History , Mathematical physics , Physics , Mathematics , History of Mathematical Sciences , Theoretical, Mathematical and Computational Physics , Mathematical Physics , Differential Geometry
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Call number:9781400848225:ONLINE Show nearby items on shelf
Title:Gauge Theories of the Strong, Weak, and Electromagnetic Interactions (electronic resource)
Author(s): Chris Quigg
(Fermilab)
Date:2013
Edition:2nd ed.
Publisher:Princeton, New Jersey : Princeton University Press
Size:497 p
Contents:Introduction, Lagrangian Formalism and Conservation Laws, The Idea of Gauge Invariance,Non-Abelian Gauge Theories, Hidden Symmetries, Electroweak Interactions of Leptons, Electroweak Interactions of Quarks, Strong Interactions among Quarks, Unified Theories, Epilogue
ISBN:9781400848225
Series:EBL eBook
Series:eBooks
Keywords: Gauge fields (Physics) , Nuclear reactions , Strong interactions (Nuclear physics)
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Call number:SPRINGER-2016-9783319176956:ONLINE Show nearby items on shelf
Title:Gauge Invariance and Weyl-polymer Quantization
Author(s): Franco Strocchi
Date:2016
Edition:1st ed. 2016
Publisher:Cham : Springer International Publishing
Size:1 online resource (97 p.)
Note:10.1007/978-3-319-17695-6
Contents:Introduction -- Heisenberg quantization and Weyl quantization -- Delocalization, gauge invariance and non-regular representations -- Quantum mechanical gauge models -- Non-regular representations in quantum field theory --
Diffeomorphism invariance and Weyl polymer quantization -- A generalization of Stone-von Neumann theorem.- Bibliography -- Index
ISBN:9783319176956
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 904
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Quantum physics , Elementary particles (Physics) , Physics , Quantum Physics , Mathematical Physics , Quantum Field Theories, String Theory , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-2014-9789400776425:ONLINE Show nearby items on shelf
Title:Symmetries in Fundamental Physics [electronic resource]
Author(s): Kurt Sundermeyer
Date:2014
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the laws of nature areinvariant under spacetime tran sformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognitionfor nearly half a century, but can today be unders tood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, asshown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner ... if we knew all the laws of nature, or the ultimate Law of nature, the invarianceproperties of these laws would not furnish us new information. Thanks to Wigner we now also under stand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic propertiesof particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementaryparticle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries inthis monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity
Contents:Preface
Notation
Introduction
Symmetry: Argument, Principle, and Leitmotif
Operations and Invariants
Symmetries in Fundamental Physics
The Scope of Symmetries
Bibliographical Notes
Classical Mechanics
Newtonian and Analytical Mechanics
Symmetries and Conservation Laws
Galilei Group
Electrodynamics and Special Relativity
Electrodynamics la Maxwell
Special Relativity
Noether Theorems
Poincar Transformations
Generalizations of Poincar Symmetry
On the Validity of Special Relativity
Quantum Mechanics
Principles of Quantum Mechan
ISBN:9789400776425
Series:eBooks
Series:SpringerLink
Series:Fundamental Theories of Physics : v176
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2014-9783642386619:ONLINE Show nearby items on shelf
Title:Particle Physics [electronic resource]
Author(s): Anwar Kamal
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This textbook teaches particle physics very didactically. It supports learning and teaching with numerous worked examples, questions and problems with answers. Numerous tables and diagrams lead to a better understanding of theexplanations. The conten t of the book covers all important topics of particle physics: Elementary particles are classified from the point of view of the four fundamental interactions. The nomenclature used in particle physics isexplained. The discoveries and properties of known elementary particles and resonances are given. The particles considered are positrons, muon, pions, anti-protons, strange particles, neutrino and hadrons. The conservation lawsgoverning the interactions of elementary particles are given. The concepts of p arity, spin, charge conjugation, time reversal and gauge invariance are explained. The quark theory is introduced to explain the hadron structure and stronginteractions. The solar neutrino problem is considered. Weak interactions are classified into vario us types, and the selection rules are stated. Non-conservation of parity and the universality of the weak interactions are discussed.Neutral and charged currents, discovery of W and Z bosons and the early universe form important topics of the electroweak interactions. The principles of high energy accelerators including colliders are elaborately explained.Additionally, in the book detectors used in nuclear and particle physics are described. This book is on the upper undergraduate level
Contents:Nuclear Radiation Detectors
High Energy Accelerators
Elementary Particles
Conservation Laws and lnvariance Principles
Strong Interactions
Electromagnetic Interactions
Weak Interactions (Charmed Quark)
Electroweak Interactions
ISBN:9783642386619
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Nuclear physics , Quantum theory
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Call number:SPRINGER-2014-9783319065816:ONLINE Show nearby items on shelf
Title:Symmetries in Fundamental Physics [electronic resource]
Author(s): Kurt Sundermeyer
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the laws of nature areinvariant under spacetime tran sformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognitionfor nearly half a century, but can today be unders tood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, asshown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P.Wigner ... if we knew all the laws of nature, or the ultimate Law of nature, the invarianceproperties of these laws would not furnish us new information. Thanks to Wigner we now also unders tand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic propertiesof particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N.Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particlephysics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree mot ivated and inspired by considerations of symmetry.The treatment of symmetries in thismonograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity
Contents:Preface
Notation
Introduction
Symmetry: Argument, Principle, and Leitmotif
Operations and Invariants
Symmetries in Fundamental Physics
The Scope of Symmetries
Bibliographical Notes
Classical Mechanics
Newtonian and Analytical Mechanics
Symmetries and Conservation Laws
Galilei Group
Electrodynamics and Special Relativity
Electrodynamics la Maxwell
Special Relativity
Noether Theorems
Poincar Transformations
Generalizations of Poincar Symmetry
On the Validity of Special Relativity
Quantum Mechanics
Principles of Quantum Mechan
ISBN:9783319065816
Series:eBooks
Series:SpringerLink
Series:Fundamental Theories of Physics : v176
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2014-9783319058672:ONLINE Show nearby items on shelf
Title:Tensorial Methods and Renormalization in Group Field Theories [electronic resource]
Author(s): Sylvain Carrozza
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on theone hand, to Loop Quant um Gravity (LQG) and, on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on toexplain how the standard tools of Quantum Fiel d Theory can be generalized to GFTs, and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in thiscontext are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity
Contents:Motivations and Scope of the Present Work
Two Paths to Group Field Theories
Colors and Tensor Invariance
Large N Expansion in Topological Group Field Theories
Renormalization of Tensorial Group Field Theories: Generalities
Super
Renormalizable U(1) Models in Four Dimensions
Just
Renormalizable SU(2) Model in Three Dimensions
ISBN:9783319058672
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Group theory , Quantum theory
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Call number:SPRINGER-2010-9783642156243:ONLINE Show nearby items on shelf
Title:Lectures on Classical and Quantum Theory of Fields [electronic resource]
Author(s): Henryk Arod
Leszek Hadasz
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook on classical and quantum theory of fields addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking intoaccount the contemporar y view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the bookis devoted to classical fields. Each chapte r contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. The textbook is based on lectures delivered to students oftheoretical physics at Jagiellonian University. It aims to deliver a uniq ue combination of classical and quantum field theory in one compact course
Note:Springer eBooks
Contents:Introduction
The Euler
Lagrange equations and Noether's theorem
Scalar fields
Vector fields
Relativistic spinor fields
The quantum theory of free fields
Perturbative expansion in the phi44 model
Renormalization
Renormalization group
Relativistic invariance and the spectral decomposition of G(2)
Paths integrals in QFT
The perturbative expansion for non
Abelian gauge fields
The simplest supersymmetric models
Anomalies
Appendix: Some facts about generalized functions
ISBN:9783642156243
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Field theory (Physics) , Quantum theory
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Call number:SPRINGER-2008-9783540735649:ONLINE Show nearby items on shelf
Title:Quantum Kinetics in Transport and Optics of Semiconductors [electronic resource]
Author(s): Hartmut Haug
Antti-Pekka Jauho
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyond the conventional Boltzmann theory. On these extremely short length and timescales the electrons behav e like partially coherent waves. This monograph deals with quantum kinetics for transport in low-dimensional microstructures and for ultra-short laser pulse spectroscopy. The nonequilibrium Green functiontheory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded quantum kinetic equations are discussed and results are presented for high-field transport and formesoscopic transport phenomena. Quantum beats, polarization decay, and non- Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis. Since the publishing of the first edition in 1996 the nonequilibrium Greenfunction technique has been applied to a large number of new research topics, and the revised ed ition introduces the reader to some of these areas, such as molecular electronics, noise calculations, build-up of screening and polaroncorrelations, and non-Markovian relaxation, among others. Connection to recent experiments is made, and it is emphasize d how the quantum kinetic theory is essential in their interpretation
Note:Springer eBooks
Contents:Boltzmann Equation
Numerical Solutions of the Boltzmann Equation
Equilibirum Green Function Theory
Contour Ordered Green Functions
Basic Quantum Kinetic Equations
Boltzmann Limit
Gauge Invariance
Quantum Distribution Functions
Linear Transport
Field
Dependent Green Functions
Optical Absorption in Itense THz Fields
Transport in Mesoscopic Semiconductor Structures
Time
Dependent Phenomena
Optical Free
Carrier Interband Kinetics in Semiconductors
Interband Quantum Kinetics with Phonon Scattering
Two
Pulse Spectroscopy
Coulomb Quantum Kinetics
The
ISBN:9783540735649
Series:e-books
Series:SpringerLink (Online service)
Series:Solid-State Sciences, 0171-1873 : v123
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2005-9783540285229:ONLINE Show nearby items on shelf
Title:Relativistic Quantum Mechanics [electronic resource]
Author(s): Hartmut M Pilkuhn
Date:2005
Edition:Second Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics as well as classical relativisticmechanics appear as s pecial cases. They are the sources of familiar names such as orbital angular momentum, spin-orbit coupling and magnetic moment for operators of the relativistic quantum formalism. The theory ofbinaries, in terms of differential equations, is treated for t he first time in this book. These have the mathematical structure of the corresponding one-body equations (Klein-Gordon for two spinless particles, Dirac for two spinorparticles) with a relativistically reduced mass. They allow the calculation of radiativ e corrections via the vector potential operator. This second edition of the successful textbook adds various new sections on relativistic quantumchemistry and on the relativistic treatment of the proton in hydrogen. Others chapters have been expanded, e.g . on hyperfinite interactions, or carefully revisited
Note:Springer eBooks
Contents:Maxwell and Schrdinger
Lorentz, Pauli and Dirac
Quantum Fields and Particles
Scattering and Bound States
Hyperfine Shifts, Radiation, Quarks
ISBN:9783540285229
Series:e-books
Series:SpringerLink (Online service)
Series:Texts and Monographs in Physics, 0172-5998
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Plasma (Ionized gases)
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Call number:SPRINGER-2003-9781447100836:ONLINE Show nearby items on shelf
Title:Special Relativity
Author(s): Nicholas M. J Woodhouse
Date:2003
Size:1 online resource (196 p.)
Note:10.1007/978-1-4471-0083-6
Contents:1. Relativity in Classical Mechanics -- 1.1 Frames of Reference -- 1.2 Relativity -- 1.3 Frames of Reference -- 1.4 Newton’s Laws -- 1.5 Galilean Transformations -- 1.6 Mass, Energy, and Momentum -- 1.7 Space-time -- 1.8 *Galilean
Symmetries -- 1.9 Historical Note -- 2. Maxwell’s Theory -- 2.1 Introduction -- 2.2 The Unification of Electricity and Magnetism -- 2.3 Charges, Fields, and the Lorentz Force Law -- 2.4 Stationary Distributions of Charge -- 2.5 The
Divergence of the Magnetic Field -- 2.6 Inconsistency with Galilean Relativity -- 2.7 The Limits of Galilean Invariance -- 2.8 Faraday’s Law of Induction -- 2.9 The Field of Charges in Uniform Motion -- 2.10 Maxwell’s Equations -- 2.11
The Continuity Equation -- 2.12 Conservation of Charge -- 2.13 Historical Note -- 3. The Propagation of Light -- 3.1 The Displacement Current -- 3.2 The Source-free Equations -- 3.3 The Wave Equation -- 3.4 Monochromatic Plane Waves --
3.5 Polarization -- 3.6 Potentials -- 3.7 Gauge Transformations -- 3.8 Photons -- 3.9 Relativity and the Propagation of Light -- 3.10 The Michelson-Morley Experiment -- 4. Einstein’s Special Theory of Relativity -- 4.1 Lorentz’s
Contraction -- 4.2 Operational Definitions of Distance and Time -- 4.3 The Relativity of Simultaneity -- 4.4 Bondi’s fc-Factor -- 4.5 Time Dilation -- 4.6 The Two-dimensional Lorentz Transformation -- 4.7 Transformation of Velocity --
4.8 The Lorentz Contraction -- 4.9 Composition of Lorentz Transformations -- 4.10 Rapidity -- 4.11 *The Lorentz and Poincaré Groups -- 5. Lorentz Transformations in Four Dimensions -- 5.1 Coordinates in Four Dimensions -- 5.2
Four-dimensional Coordinate Transformations -- 5.3 The Lorentz Transformation in Four Dimensions -- 5.4 The Standard Lorentz Transformation -- 5.5 The General Lorentz Transformation -- 5.6 Euclidean Space and Minkowski Space -- 5.7
Four-vectors -- 5.8 Temporal and Spatial Parts -- 5.9 The Inner Product -- 5.10 Classification of Four-vectors -- 5.11 Causal Structure of Minkowski Space -- 5.12 Invariant Operators -- 5.13 The Frequency Four-vector -- 5.14 * Affine
Spaces and Covectors -- 6. Relative Motion -- 6.1 Transformations Between Frames -- 6.2 Proper Time -- 6.3 Four-velocity -- 6.4 Four-acceleration -- 6.5 Constant Acceleration -- 6.6 Continuous Distributions -- 6.7 *Rigid Body Motion --
6.8 Visual Observation -- 7. Relativistic Collisions -- 7.1 The Operational Definition of Mass -- 7.2 Conservation of Four-momentum -- 7.3 Equivalence of Mass and Energy -- 8. Relativistic Electrodynamics -- 8.1 Lorentz Transformations
of E and B -- 8.2 The Four-Current and the Four-potential -- 8.3 Transformations of E and B -- 8.4 Linearly Polarized Plane Waves -- 8.5 Electromagnetic Energy -- 8.6 The Four-momentum of a Photon -- 8.7 *Advanced and Retarded
Solutions -- 9. *Tensors and Isomet ries -- 9.1 Affine Space -- 9.2 The Lorentz Group -- 9.3 Tensors -- 9.4 The Tensor Product -- 9.5 Tensors in Minkowski Space -- 9.6 Tensor Components -- 9.7 Examples of Tensors -- 9.8 One-parameter
Subgroups -- 9.9 Isometries -- 9.10 The Riemann Sphere and Spinors -- Notes on Exercises -- Vector Calculus
ISBN:9781447100836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Physics , Gravitation , Mathematics , Applications of Mathematics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Methods in Physics
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Call number:SPRINGER-2001-9783322801609:ONLINE Show nearby items on shelf
Title:Gauge Theories of the Strong and Electroweak Interaction
Author(s): Manfred Böhm
Date:2001
Size:1 online resource (784 p.)
Note:10.1007/978-3-322-80160-9
Contents:1 Phenomenological basis of gauge theories of strong, electromagnetic, and weak interactions -- 1.1 Elementary particles and their interactions -- 1.2 Elements of relativistic quantum field theory -- 1.3 The quark model of hadrons --
1.4 Basics of the electroweak interaction -- 1.5 The quark-parton model -- 1.6 Higher-order field-theoretical effects in QED -- 1.7 Towards gauge theories of strong and electroweak interactions -- 2 Quantum theory of Yang—Mills fields
-- 2.1 Green functions and S-matrix elements -- 2.2 Path-integral representation of quantum field theory -- 2.3 Local gauge invariance -- 2.4 Path-integral formulation of gauge theories -- 2.5 Renormalization of quantum field theories
-- 2.6 Renormalization group -- 2.7 Anomalies -- 2.8 Infrared and collinear singularities -- 2.9 Non-perturbative aspects of gauge theories -- 2.10 Lattice approximation of gauge theories -- 3 Quantum Chromodynamics -- 3.1 Asymptotic
freedom of QCD -- 3.2 QCD in deep-inelastic scattering -- 3.3 Perturbative Quantum Chromodynamics -- 3.4 Heavy-quark effective theory (HQET) -- 3.5 Light quarks and chiral perturbation theory -- 3.6 Results of lattice approximation of
QCD -- 3.7 Quark confinement -- 3.8 A test of QCD: the running of ?S -- 4 Gauge theories of the electroweak interaction -- 4.1 Spontaneous symmetry breaking -- 4.2 The Standard Model of the Electroweak Interaction -- 4.3 Simple
applications of the Electroweak Standard Model -- 4.4 Quantization of the Electroweak Standard Model -- 4.5 Renormalization of the Electroweak Standard Model -- 4.6 Electroweak radiative corrections -- 5 Extensions of the Standard
Model -- 5.1 Grand unified theories (GUTs) -- 5.2 Supersymmetry -- A Appendix -- A.1 Conventions -- A.2 Feynman rules for the Electroweak Standard Model -- General references
ISBN:9783322801609
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Nuclear physics , Physics , Particle and Nuclear Physics , Physics, general
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Call number:SPRINGER-2000-9789401141284:ONLINE Show nearby items on shelf
Title:Particle Physics: Ideas and Recent Developments
Author(s):
Date:2000
Size:1 online resource (514 p.)
Note:10.1007/978-94-011-4128-4
Contents:Results from LEP 200 -- Anomalous Quartic Couplings at LEP2 -- Physics with an e+ e- Linear Collider at High Luminosity -- Point Splitting and U(1) Gauge Invariance -- Neutrino Oscillations -- Physics of CP Violation and Rare Decays
-- HERA - Experimental Results -- Recent Results and Perspectives at CDF and DO -- Heavy Gauge Boson Production at Small Transverse Momentum in Hadron-Hadron Collisions -- Recent Developments in the Theory of Strong Interactions: Power
Corrections and Renormalons 245 -- Supersymmetric Extensions of the Standard Model -- Enhanced Global Symmetries and a Strong Electroweak Sector:Chiral/Conformal Phase Transition -- Supersymmetry and Duality in Field Theory and String
Theory -- Baryogenesis -- Cosmology and Dark Matter
ISBN:9789401141284
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Science Series, Series C: Mathematical and Physical Sciences: 555
Keywords: Physics , Gravitation , Nuclear physics , Heavy ions , Hadrons , Elementary particles (Physics) , Quantum field theory , Physics , Nuclear Physics, Heavy Ions, Hadrons , Elementary Particles, Quantum Field Theory , Classical and Quantum Gravitation, Relativity Theory
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Call number:SPRINGER-2000-9781461205074:ONLINE Show nearby items on shelf
Title:The Physics of Quantum Fields
Author(s): Michael Stone
Date:2000
Size:1 online resource (271 p.)
Note:10.1007/978-1-4612-0507-4
Contents:1 Discrete Systems -- 1.1 One-Dimensional Harmonic Crystal -- 1.2 Continuum Limit -- 2 Relativistic Scalar Fields -- 2.1 Conventions -- 2.2 The Klein-Gordon Equation -- 2.3 Symmetries and Noether’s Theorem -- 3 Perturbation Theory --
3.1 Interactions -- 3.2 Perturbation Theory -- 3.3 Wick’s Theorem -- 4 Feynman Rules -- 4.1 Diagrams -- 4.2 Scattering Theory -- 5 Loops, Unitarity, and Analyticity -- 5.1 Unitarity of the S Matrix -- 5.2 The Analytic S Matrix -- 5.3
Some Loop Diagrams -- 6 Formal Developments -- 6.1 Gell-Mann Low Theorem -- 6.2 Lehmann-Källén Spectral Representation -- 6.3 LSZ Reduction Formulae -- 7 Fermions -- 7.1 Dirac Equation -- 7.2 Spinors, Tensors, and Currents -- 7.3 Holes
and the Dirac Sea -- 7.4 Quantization -- 8 QED -- 8.1 Quantizing Maxwell’s Equations -- 8.2 Feynman Rules for QED -- 8.3 Ward Identity and Gauge Invariance -- 9 Electrons in Solids -- 9.1 Second Quantization -- 9.2 Fermi Gas and Fermi
Liquid -- 9.3 Electrons and Phonons -- 10 Nonrelativistic Bosons -- 10.1 The Boson Field -- 10.2 Spontaneous Symmetry Breaking -- 10.3 Dilute Bose Gas -- 10.4 Charged Bosons -- 11 Finite Temperature -- 11.1 Partition Functions -- 11.2
Worldlines -- 11.3 Matsubara Sums -- 12 Path Integrals -- 12.1 Quantum Mechanics of a Particle -- 12.2 Gauge Invariance and Operator Ordering -- 12.3 Correlation Functions -- 12.4 Fields -- 12.5 Gaussian Integrals and Free Fields --
12.6 Perturbation Theory -- 13 Functional Methods -- 13.1 Generating Functionals -- 13.2 Ward Identities -- 14 Path Integrals for Fermions -- 14.1 Berezin Integrals -- 14.2 Fermionic Coherent States -- 14.3 Superconductors -- 15
Lattice Field Theory -- 15.1 Boson Fields -- 15.2 Random Walks -- 15.3 Interactions and Bose Condensation -- 15.4 Lattice Fermions -- 16 The Renormalization Group -- 16.1 Transfer Matrices -- 16.2 Block Spins and Renormalization Group
-- 17 Fields and Renormalization -- 17.1 The Free-Field Fixed Point -- 17.2 The Gaussian Model -- 17.3 General Method -- 17.4 Nonlinear ? Model -- 17.5 Renormalizing ??4 -- 18 Large N Expansions -- 18.1 O(N) Linear ?-Model -- 18.2
Large N Expansions -- A Relativistic State Normalization -- B The General Commutator -- C Dimensional Regularization -- C.1 Analytic Continuation and Integrals -- C.2 Propagators -- D Spinors and the Principle of the Sextant -- D.1
Constructing the ?-Matrices -- D.2 Basic Theorem -- D.3 Chirality -- E Indefinite Metric -- F Phonons and Momentum -- G Determinants in Quantum Mechanics
ISBN:9781461205074
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Quantum physics , Elementary particles (Physics) , Quantum field theory , Quantum computers , Spintronics , Physics , Elementary Particles, Quantum Field Theory , Quantum Physics , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1999-9783662038413:ONLINE Show nearby items on shelf
Title:Fields, Symmetries, and Quarks
Author(s): Ulrich Mosel
Date:1999
Edition:Second, Revised and Enlarged Edition
Size:1 online resource (310 p.)
Note:10.1007/978-3-662-03841-3
Contents:1. Units and Metric -- 2. Classical Fields -- 3. Free Fields and Their Quantization -- 4. Symmetries of Meson and Baryon Systems -- 5. Quarks -- 6. Chiral Symmetry -- 7. Spontaneous Global Symmetry Breaking -- 8. Gauge Field Theories
-- 9. Spontaneous Symmetry Breaking in Gauge Field Theories -- 10. Weak Interactions of Quarks and Leptons -- 11. Electroweak Interactions of Leptons -- 12. Electroweak Interactions of Quarks -- 13. Electroweak Interactions of Quarks
and Leptons -- 14. CP Invariance of Electroweak Interactions -- 15. Quantum Chromodynamics -- 16. Bag Models of Hadrons -- 17. Soliton Models of Hadrons -- VIII. Appendices -- A. Solutions of the Free Dirac Equation -- A.1 Properties
of Free Dirac States -- A.2 Massless Fermions -- A.3 Dirac and Majorana Fields -- B. Explicit Quark States for Hadrons -- C. Table of Hadron Properties -- Bibliography by Subject -- References
ISBN:9783662038413
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Nuclear physics , Physics , Particle and Nuclear Physics
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Call number:SPRINGER-1998-9789401709903:ONLINE Show nearby items on shelf
Title:Causality and Locality in Modern Physics Proceedings of a Symposium in honour of Jean-Pierre Vigier
Author(s):
Date:1998
Size:1 online resource (502 p.)
Note:10.1007/978-94-017-0990-3
Contents:Possible Consequences of an Extended Charged Particle Model in Electromagnetic Theory -- Astrophysics-Cosmology -- The Origin of Cosmological Redshift in Spin Exchange Vacuum Compactification and Nonzero Rest Mass Photon Anisotropy --
Non-Locality, Complementarity and Cosmology -- The Planck Mass as a Fundamental Entity for Particle Structure and Cosmology -- Causality & Locality in Multiverse Solutions of the Einstein Equations -- Aharonov-Bohm Effect -- Proposal
of a New Kind of Aharonov-Bohm Effect -- Generalized Aharonov-Bohm Effect -- Aharonov-Bohm Effect Induced by Light -- Electro-Dynamics -- Maxwell’s Equations in Three-Dimensional Space -- Causality & Nonlocality in Problem of Radiative
Damping of Electron -- Hierarchic Theory of Oscillations and Waves and Its Application to Nonlinear Problems of Relativistic Electrodynamics -- Electromagnetic Theory with Space-Charges in Vacuo -- Some Information about the Four
Experimental Sectors of Physics in which Superluminal Motions seem to Appear -- Incompleteness of Classical Electrodynamics and Longitudinal Non-Local Electromagnetic Action as One of the Missing Elements -- Superluminal Propagation
Speed of Longitudinally Oscillating Electrical Fields -- Gravitation and Inertia -- Derivation of Newton’s Law of Gravitation and Discovery of the Unique Normal Modes of the Universe -- A Limit on the Longitudinal Graviton Mass --
Implications of Mach’s Principle: Dark Matter and Observable Gravitons -- The Vigier Pinch -- The Zero-Point Field and Inertia -- Electromagnetic Vacuum and Inertial Mass -- Light and Photons -- Shedding Light on Light -- Quantum Phase
of Light via Spin of Photons -- Neither Particle-like nor Wave-like Behaviour of a Photon -- EPR, Magic and the Nature of Light -- The Mass-Connected Photon -- Mathematical Physics -- Superluminal Transformations in Spacetimes of
Definite Metric -- Uniform Spaces via Topological Groups and Non-Locality -- Gauge Mechanical View of Physical Reality -- Spacetime Invariance and Scale Effect -- Quantum Measurement, Gravitation, and Locality in the Dynamic Theory --
Particle Physics -- Chiral Interactions of Massive Particles in the (1/2,0)?(0,1/2) Representation -- Causality in Relativistic Multi-Particle Classical Dynamic Systems -- Hydrodynamical Reformulation and Quantum Limit of the
Barut-Zanghi Theory -- Quantum Theory -- The Unreasonable Effectiveness of Mathematics in Physics -- Localization Problem in the Relativistic Quantum Mechanics -- The Original EPR State, Bell Inequalities, and Realist Interpretations
of Quantum Mechanics -- Recovery of an Interference Pattern Hidden by Noise -- Interparticle Interactions and Nonlocality in Quantum Field Theory -- On Interacting Systems of Space: or, Co-Efficient Fields -- Are the Bader Laplacian
and the Bohm Quantum Potential Equivalent -- The Relativistic Kinematics of the De Broglie Phase Wave -- Classical Embeddings of Schrodinger’s Equation and Non-Locality -- Wave-Packet Model and Mach-Zehnder-Type Interferometers --
Causality & Nonlocality as Axioms for Quantum Mechanics -- Bell’s Inequality Violation and Localization -- The Physical Consequences of a New Version of the Dirac Equation -- Beyond Bohm-Vigier Quantum Mechanics -- Why Two-Photon but
Not Two Photons -- Non-Linear Schrödinger Equation, Burger’s Equation and Superposition of Solutions -- Can a Falling Tree Make a Noise in Two Forests at the Same Time? -- Connection Between Classical and Quantum Descriptions of
Evolution -- Additional Articles -- A Minimal Local Extension of the Quantum Formalism -- Deterministic Explanation of Quantum Mechanics — Two Photon “Ghost” Diffraction Calculations -- Some Properties of a Regularized Classical
Electromagnetic Self-Interaction -- Papers not Included in the Proceedings -- Author Index
ISBN:9789401709903
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 97
Keywords: Physics , Quantum physics , Astrophysics , Elementary particles (Physics) , Quantum field theory , Physics , Quantum Physics , Theoretical, Mathematical and Computational Physics , Astrophysics and Astroparticles , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-1998-9789401150361:ONLINE Show nearby items on shelf
Title:Clifford Algebras and Their Application in Mathematical Physics Aachen 1996
Author(s):
Date:1998
Size:1 online resource (447 p.)
Note:10.1007/978-94-011-5036-1
Contents:Dirac Operators and Clifford Geometry — New Unifying Principles in Particle Physics ? -- On the Hayman uniqueness problem for polyharmonic functions -- Left-linear and Nonlinear Riemann problems in Clifford analysis -- Spin structures
and harmonic spinors on nonhyperelliptic Riemann surfaces of small genera -- Decomposition of analytic hyperbolically harmonic functions -- Spin Gauge Theories: A Summary -- Manifolds with and without embeddings -- Dirac equation in
the Clifford algebra of Space -- Dirac theory from a field theoretic point of view -- On some applications of the biharmonic equation -- Spinor Particle Mechanics -- Clifford analysis and elliptic boundary value problems in unbounded
domains -- Twistors and Clifford Algebras -- How Many Essentialy Different Function Theories Exist? -- Variational Property of the Peano Kernel for Harmonicity Differences of Order p -- Clifford Analysis on the Sphere -- Type-changing
transformations of pseudo-Euclidean Hurwitz pairs, Clifford Analysis, and particle lifetimes -- Modified quaternionic analysis in ?4 -- Geometric Algebra and Lobachevski Geometry -- Generalizing the (F,G)- derivative in the sense of
Bers -- Formes quadratiques de Hardy-Weinberg et algèbres de Clifford -- On Dirac equations in curved space-times -- Some Partial Differential Equations in Clifford Analysis -- Teaching Clifford Algebra as Physical Mathematics --
Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle -- Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum -- Higher Spin and the Spacetime Algebra -- Curved Radon
Transforms in Clifford Analysis -- On a class of non-linear boundary value problems -- Pin structures and the Dirac operator on real projective spaces and quadrics -- Construction of monopoles and instantons by using spinors and the
inversion theorem -- Determinants, Manifolds with Boundary and Dirac Operators -- New dynamical equations for many particle system on the basis of multicomplex algebra
ISBN:9789401150361
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 94
Keywords: Mathematics , Associative rings , Rings (Algebra) , Functions of complex variables , Integral transforms , Operational calculus , Partial differential equations , Mathematical logic , Mathematics , Functions of a Complex Variable , Mathematical Logic and Foundations , Associative Rings and Algebras , Integral Transforms, Operational Calculus , Partial Differential Equations
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Call number:SPRINGER-1997-9789401156820:ONLINE Show nearby items on shelf
Title:The Present Status of the Quantum Theory of Light Proceedings of a Symposium in Honour of Jean-Pierre Vigier
Author(s):
Date:1997
Size:1 online resource (554 p.)
Note:10.1007/978-94-011-5682-0
Contents:A Quantum of Light Shed on a Classical Problem -- A Classical Photon Model -- Stationary Vacuum-Polarization “P Fields”: The Missing Element in Electromagnetism and Quantum Mechanics -- Electrons and Photons as Soliton-Waves --
Topological Solitons in Non-Linear Electrodynamics -- A Particle or Photon in a Field -- The Myth of the Photon -- Could the Photon Be Superfluous? -- Fluctuation-Dissipation Quantum Electrodynamics -- Statistical Theory of Photon in
the Nonlinear Media and in Vacuum -- Einstein-de Broglie-Proca Theory of Light and Simultaneous Existence of Transverse and Longitudinal Photons -- Origin, Observation and Consequences of the B(3) Field -- Opto-Magnetic Effects in Non
Absorbing Media: Problems of Measurement and Interpretation -- Generalized Equations of Electrodynamics of Continuous Media -- Maxwellian Analysis of Reflection and Refraction -- Solutions of Maxwell Equations for a Hollow Curved Wave
Conductor -- Maxwell’s Equations Directly from the Dynamics of Point Particles -- Obtaining the Schrödinger and Dirac Equations from the Einstein/KAC Model of Brownian Motion by Projection -- Derivation of the Schrödinger Equation --
An Appraisal of Stochastic Interpretations of Quantum Mechanics -- Compatible Statistical Interpretation of Quantum Beats. -- Stochastic Non-Markov Model of Quantum Mechanical Behaviour -- Essentially Pure Particle Formulation of
Quantum Mechanics -- A Fundamental Force as the Deterministic Explanation of Quantum Mechanics -- A Geometric Approach to the Quantum Mechanics of de Broglie and Vigier -- Stable Orbits as Limit Cycles -- The Correspondence Principle:
Periodic Orbits from Quantum Mechanics -- Neutron Interferometric Experiments on Quantum Mechanics -- Enigmatic Neutrons -- Experiments to Test the Reality of de Broglie Waves -- Preselected Quantum Optical Correlations -- Apparent
Contradiction in EPR Correlations -- The Wave-Particle Duality -- Quantum Mechanical Tunneling in a Causal Interpretation -- Quantum Uncertainty, Wave-Particle Duality and Fundamental Symmetries -- On the Contradiction between Quantum
Mechanics and Relativity: a Superluminal Quantum Morse Telegraph -- Incompatibility between Einstein’s Relativity and Lorentz’s Equations -- On Self-Interaction and (Non-)Perturbative Quantum GRT -- Classical Physics Foundations for
Quantum Physics -- Inertial Transformations: a Review -- The Lorentz Invariance Revisited -- A New Type of Massive Spin-One Boson: and its Relation with Maxwell Equations -- Implications of Extended Models of the Electron for Particle
Theory and Cosmology -- The Takabayasi Moving Frame, from the A Potential to the Z Boson -- The Nature of the Cosmological Redshift -- A Quantum Digital Theory of Light -- Toward a Comprehensible Physical Theory: Gravity and Quantum
Mechanics -- Hidden Background Field and Quantum Non-Locality -- Einstein-Podolsky-Rosen Correlations within Bell Region> -- Electromagnetic Gauge as Integration Condition and Selection of the Source Adhering Gauge> -- Author Index
ISBN:9789401156820
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics : 80
Keywords: Physics , Quantum physics , Elementary particles (Physics) , Quantum field theory , Optics , Optoelectronics , Plasmons (Physics) , Physics , Elementary Particles, Quantum Field Theory , Quantum Physics , Theoretical, Mathematical and Computational Physics , Optics, Optoelectronics, Plasmonics and Optical Devices
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Call number:SPRINGER-1997-9783642591914:ONLINE Show nearby items on shelf
Title:Effective Lagrangians for the Standard Model
Author(s): Antonio Dobado
Date:1997
Size:1 online resource (316 p.)
Note:10.1007/978-3-642-59191-4
Contents:1. The Notion of Effective Lagrangian -- 1.1 Introduction -- 1.2 Integration of the Heavy Modes -- 1.3 The Decoupling Theorem -- 1.4 The Euler-Heisenberg Lagrangian -- 1.5 Theories with Spontaneous Symmetry Breaking -- 1.6 Decoupling
of Chiral Fermions -- 1.7 References -- 2. Global Symmetries in Quantum Field Theory -- 2.1 Classical Symmetries -- 2.2 Green Functions and the Reduction Formula -- 2.3 Quantum Symmetries and Ward Identities -- 2.4 Spontaneous Symmetry
Breaking and the Goldstone Theorem -- 2.5 Explicit Symmetry Breaking and the Dashen Conditions -- 2.6 References -- 3. The Non-linear ? Model -- 3.1 Introduction -- 3.2 The Geometry and the Dynamics of the Non-linear ? Model -- 3.3 The
Quantum Non-linear ? Model -- 3.4 Reparametrization Invariance of the S-Matrix Elements -- 3.5 Local Symmetries and the Higgs Mechanism -- 3.6 Topologically Non-trivial Configurations -- 3.7 References -- 4. Anomalies -- 4.1
Introduction -- 4.2 The Axial Anomaly, Triangle Diagrams and the ?0 Decay -- 4.3 The Axial Anomaly and the Index Theorem -- 4.4 Gauge Anomalies -- 4.5 Regularization Methods -- 4.6 Ambiguities and Counterterms -- 4.7 Topological
Interpretation of Non-Abelian Anomalies -- 4.8 Non-perturbative Anomalies -- 4.9 Non-linear ? Model Anomalies -- 4.10 The Wess-Zumino-Witten Term -- 4.11 The Trace Anomaly -- 4.12 References -- 5. The Symmetries of the Standard Model
-- 5.1 The Elements of the Standard Model -- 5.2 The Cabibbo-Kobayashi-Maskawa Matrix and Weak CP Violation -- 5.3 The Cancellation of Gauge Anomalies in the Standard Model -- 5.4 Baryon and Lepton Number Anomalies in the Standard
Model -- 5.5 The Evolution of the Coupling Constants -- 5.6 The Strong CP Problem -- 5.7 The Symmetries of the Standard Model -- 5.8 References -- 6. The Effective Lagrangian for QCD -- 6.1 The QCD Lagrangian -- 6.2 QCD at Low Energies
-- 6.3 The Chiral Lagrangian at Leading Order -- 6.4 The Chiral Lagrangian to Next to Leading Order -- 6.5 The Low-Energy Constants -- 6.6 The Problem of Unitarity in ChPT -- 6.7 References -- 7. The Standard Model Symmetry Breaking
Sector -- 7.1 The Mass Problem -- 7.2 The Effective Lagrangian for the SM Symmetry Breaking Sector -- 7.3 The O(p4) Lagrangian and One-Loop Renormalization -- 7.4 The Heavy Higgs and QCD-Like Models -- 7.5 Phenomenological
Determination of the Chiral Parameters -- 7.6 The Equivalence Theorem -- 7.7 The Applicability of the Equivalence Theorem -- 7.8 Gauge Boson Scattering at High Energies -- 7.9 References -- 8. Gravity and the Standard Model -- 8.1
Introduction -- 8.2 The Standard Model in Curved Space-Time -- 8.3 Anomalies in the Standard Model -- 8.4 The Effect of Matter Fields on Gravitation -- 8.5 The Effective Action for Gravity -- 8.6 References -- A. Useful Formulae and
Notation -- B. Notes on Differential Geometry -- C. Aspects of Quantum Field Theory -- D. Unitarity and Partial Waves
ISBN:9783642591914
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Mathematical Methods in Physics
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Call number:SPRINGER-1997-9781489900814:ONLINE Show nearby items on shelf
Title:Electron Theory and Quantum Electrodynamics 100 Years Later
Author(s):
Date:1997
Size:1 online resource (356 p.)
Note:10.1007/978-1-4899-0081-4
Contents:I. Quantum Electrodynamics -- Theory of the Energy Levels and Precise Two-Photon Spectroscopy of Atomic Hydrogen and Deuterium -- Quantum Electrodynamical Corrections in Highly Charged Ions -- Gauge Invariance on Bound State Energy
Levels -- Renormalization of the Self Field QED -- Quantum Fluctuations and Inertia -- Mechanical Effects of Radiation Pressure Quantum Fluctuations -- Vacuum Structures for the Charged Fields in Presence of E-M Potentials and
Boundaries -- Quantum Electrodynamics in Superconducting Circuits -- II. Quantum Optics -- Dynamics of the Micromaser Field -- Paradigm for Two-Photon Cascade Intensity Correlation Experiments -- Entanglement in Two-Photon Cascade
Radiation and the Visibility of Second-Order Interference -- Quantum Beats Described by de Broglian Probabilities -- Quantum Oscillator with Kronig-Penney Excitation in Different Regimes of Damping -- Phase Distributions and
Quasidistributions of Amplitude-Squared Squeezed States -- III. Electron Theory -- Hunting the Electron Electric Dipole Moment -- Dynamical Aspects of Classical Electron Theory -- Clifford Algebras, Supercalculus, and Spinning Particle
Models -- The Purely Electromagnetic Electron Re-visited -- Field Theory of the Spinning Electron: I — Internal Motions -- Field Theory of the Spinning Electron: II — The New Non-Linear Field Equations -- Quantum Theory of
Self-Organizing Electrically Charged Particles: Soliton Model of the Electron -- Comparison of Two Models of the Classical Zitterbewegung and Photon Wave Function -- IV. New Developments in Electromagnetism -- Conceptual Problems and
Developments of Electrodynamics -- Localization of Electromagnetic Waves in 2D Random Media -- The Classical Lamb Shift: Why Jackson Is Wrong! -- New Maxwell Electrodynamics -- Geometric Theory of Radiation -- Is There Any Relationship
between Maxwell and Dirac Equations? -- Contributors List
ISBN:9781489900814
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series B: Physics: 358
Keywords: Engineering , Electrical engineering , Engineering , Electrical Engineering
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Call number:SPRINGER-1996-9789401587570:ONLINE Show nearby items on shelf
Title:Conformal Quantum Field Theory in D-dimensions
Author(s): Efim S Fradkin
Date:1996
Size:1 online resource (466 p.)
Note:10.1007/978-94-015-8757-0
Contents:I Goals and Perspectives -- II Global Conformal Symmetry and Hilbert Space -- III Euclidean Formulation of the Conformal Theory -- IV Approximate Methods of Calculating Critical Indices -- V Spontaneous Breakdown of Conformal Symmetry
-- VI Ward Identities -- VII Contribution of Electromagnetic and Gravitational Interactions into the General Solution of Ward Identities -- VIII Dynamical Sector of the Hilbert Space -- IX Conformal Invariance in Gauge Theories -- X
Special Features of Conformal Transformation of Current, Energy-Momentum Tensor and Gauge Fields -- Appendix I. Casimir Operators and Irreducible Representations of Conformal Group of 4-Dimensional Minkowski Space -- Appendix II.
Fourier Transforms of Euclidean and Minkowski Spaces Invariant Functions -- Appendix III. Calculation of Euclidean Quasilocal Invariant Three-point Functions -- Appendix VII. Partial Wave Expansion of Current Green Functions -- 1. The
Structure of Partial Wave Expansions -- 2. Calculation of the Kernels of Partial Wave Expansions -- Appendix IX. Partial Wave Expansion of the Energy-Momentum Tensor Green functions -- 1. The Structure of Partial Wave Expansion -- 4.
Calculating the Kernels of Partial Wave Expansions of the Green Functions of the Energy-Momentum Tensor -- Appendix X. Basic Integral Relations -- Appendix XII. Calculation of Integrals in Two-Dimensional Space
ISBN:9789401587570
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 376
Keywords: Physics , Topological groups , Lie groups , Applied mathematics , Engineering mathematics , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Topological Groups, Lie Groups , Applications of Mathematics
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Call number:SPRINGER-1996-9783642610578:ONLINE Show nearby items on shelf
Title:Relativistic Quantum Mechanics and Introduction to Field Theory
Author(s): Francisco J Ynduráin
Date:1996
Size:1 online resource (332 p.)
Note:10.1007/978-3-642-61057-8
Contents:1. Relativistic Transformations. The Lorentz Group -- 1.1 Rotations, and Space and Time Reversal for Particles with Spin -- 1.2 Galilean Transformations -- 1.3 Lorentz Transformations. Normal Parameters -- 1.4 Minkowski Space. The
Full Lorentz Group -- 1.5 The Lorentz Group -- 1.6 Geometry of Minkowski Space -- 1.7 Transformation Properties of Physical Quantities Under the Lorentz Group -- 1.8 Covariant Form of the Maxwell Equations -- 1.9 Minkowski Space:
Metric, Conventions -- 2. The Klein—Gordon Equation. Relativistic Equation for Spinless Particles -- 2.1 The Klein—Gordon Equation. Generalities -- 2.2 Wave Equation for Free Spinless Particles -- 2.3 Plane Waves. Current. Scalar
Product -- 2.4 Interaction with the Classical Electromagnetic Field. Gauge Invariance -- 2.5 Particle in a Coulomb Field -- 3. Spin 1/2 Particles -- 3.1 The Dirac Equation -- 3.2 Invariance Properties of the Dirac Equation -- 3.2.1
Rotations -- 3.2.2 Boosts -- 3.2.3 Parity -- 3.2.4 Time Reversal -- 3.3 Density of Particles. Current. Scalar Product -- 3.4 Minimal Replacement. Gauge Invariance. Large and Small Components: Nonrelativistic Limit of the Dirac
Equation... -- 3.5 Plane Waves. States with Weil-Defined Spin -- 3.6 Radial Form of the Dirac Equation. Free-Particle Solutions -- 3.6.1 Radial Form of H -- 3.6.2 Free Particles -- 3.7 The Problem of Negative Energies in the Dirac
Equation. The Dirac Sea. Hole Theory. Charge Conjugation -- 3.7.1 Negative Energies. The Dirac Sea. Holes -- 3.7.2 Charge Conjugation -- 3.8 Covariants and Projectors -- 3.8.1 Covariants -- 3.8.2 Projectors -- 3.9 Massless Spin 1/2
Particles -- 4. Dirac Particle in a Potential -- 4.1 Dirac Particle in a Spherical Well -- 4.2 Particle in a Coulomb Potential: Continuum States -- 4.3 Scattering States. Phase Shifts. Cross-sections. Wave Function at the Origin --
4.3.1 Scattering States. Phase Shifts -- 4.3.2 Cross-sections -- 4.3.3 Wave Function at the Origin -- 4.4 Bound States in a Coulomb Potential -- 4.5 Semirelativistic Approximation: the Foldy—Wouthuysen Transformation -- 4.5.1 General
Method -- 4.5.2 Electromagnetic Interactions -- 4.5.3 Free Particle -- 5. Massive Particles with Spin 1. Massless Spin 1 Particle: Photon Wave Functions. Particles with Higher Spins (3/2, 2,…) -- 5.1 Particle with Spin 1 and Mass m ? 0
-- 5.2 Particle with Spin 1 and Zero Mass: The Photon. Plane Waves. Photon Spin -- 5.2.1 Photon Wave Function. Gauge Fixing. Transformation Properties -- 5.2.2 Plane Waves. Helicity States -- 5.2.3 Field Variables as Wave Functions for
the Photon. The Schwinger Gauge -- 5.3 Angular Momentum Eigenstates for the Photon. Vector Spherical Harmonics. Multipoles -- 5.3.1 General Useful Formulas -- 5.3.2 Multipoles -- 5.3.3 Photon Wave Functions with Well-Defined Angular
Momentum -- 5.4 Particles with Higher Spins. Rarita—Schwinger and Bargmann—Wigner Equations. The Graviton -- 5.4.1 Rarita—Schwinger Equations -- 5.4.2 Bargmann—Wigner Equations -- 5.4.3 The Graviton -- 6. General Description of
Relativistic States -- 6.1 Preliminaries -- 6.2 Relativistic One-Particle States: General Description -- 6.3 Relativistic States of Massive (m?0) Particles -- 6.4 Massless Particles -- 6.5 Many-Particle States. Creation—Annihilation
Operators. Fock Space -- 6.6 Connection with the Wave Function Formalism -- 7. General Description of Relativistic Collisions: S Matrix, Cross-sections and Decay Rates. Partial Wave Analyses -- 7.1 Two-Particle States. Separation of
the Centre of Mass Motion. States with Weil-Defined Angular Momentum -- 7.2 Kinematics of Two-Particle Collisions -- 7.3 The S Matrix. Scattering Amplitude. Nonrelativistic Limit -- 7.4 Cross-sections and Decay Rates. The Optical
Theorem -- 7.5 Partial Wave Analysis and Phase Shifts. I. Spinless Elastic Scattering. Effective Range Expansion... -- 7.5.1 Partial Wave Analysis -- 7.5.2 Effective Range Formalism -- 7.6 Partial Wave Analysis. II. Several Two-Body
Channels -- 7.6.1 Multichannel Analysis -- 7.6.2 Effective Range Approximation -- 7.7 Partial Wave Analysis. III. Particles with Spin -- 7.7.1 Spin Analysis -- 7.7.2 Scattering of Spin 0 - Spin 1/2 Particles -- 7.8 Evaluation of the S
Matrix -- 7.8.1 The S Matrix and the Interaction Picture -- 7.8.2 The S Matrix in the Lippmann-Schwinger Formalism. -- 7.8.3 Scattering by Two Interactions -- 8. Quantization of the Electromagnetic Field. Interaction of Radiation with
Matter -- 8.1 Normal, or Wick, Products -- 8.2 Quantization of the Electromagnetic Field (Coulomb Gauge). The Casimir Effect -- 8.2.1 Quantization of the Electromagnetic Field -- 8.2.2 Multipole Expansion -- 8.2.3 The Casimir Effect --
8.3 Interaction of the Radiation with Slowly Moving Particles... -- 8.3.1 Radiative Decays, and Absorption of Radiation -- 8.3.2 Low-Energy Compton Scattering -- 8.4 Bremsstrahlung -- 8.5 The Classical Limit. Coherent States -- 8.6
Uncertainty Relations for Field Variables -- 9. Quantum Fields: Spin 0, 1/2, 1. Covariant Quantization of the Electromagnetic Field -- 9.1 Generalities -- 9.2 Localization of Particles in Relativistic Quantum Mechanics. -- 9.3
Retardation and Consistency -- 9.4 Quantization of Scalar Fields and of Massive Vector Fields... -- 9.4.1 Second Quantization for Spinless Particles -- 9.4.2 Massive Vector Particles -- 9.5 Quantization of the Dirac Field. Weyl and
Majorana Particles -- 9.6 Covariant Quantization of the Electromagnetic Field -- 9.6.1 The Gupta-Bleuler Space -- 9.6.2 Covariant Transformation -- 9.6.3 The Metric Operator Method -- 9.7 Time-Ordered Product. Propagators -- 9.8
Interactions in Quantum Field Theory. Lagrangian Formulation -- 9.8.1 Lagrangian Formalism for Fields -- 9.8.2 Interactions -- 9.9 Gauge Invariance in Quantum Electrodynamics -- 10. Interactions in Quantum Field Theory. Nonrelativistic
Limit. Reduction to Equivalent Potential -- 10.1 Potentials Equivalent to Field-Theoretic Interactions. General Method -- 10.2 Equivalent Potential for Two Particles in Electromagnetic Interaction -- 10.2.1 Elastic Collision of Two
Charged Particles in the Born Approximation -- 10.2.2 Nonrelativistic Limit -- 10.2.3 Relativistic Corrections. The Breit Term -- 10.3 Hydrogenlike Atoms: Hyperfine Structure. System with Two Electrons: the Helium Atom -- 10.3.1
Hydrogenlike Atoms -- 10.3.2 System With Two Electrons. The Helium Atom -- 10.4 Electron-Positron Collisions: Effective Potential. Positronium -- 10.4.1 Scattering Amplitude in the Born Approximation. -- 10.4.2 Annihilation Channel --
10.4.3 Positronium -- 10.5 Scalar and Pseudoscalar Interactions. The Yukawa Potential. -- 10.6 Weak Neutral Currents. Parity Violation in Atoms -- 11. Relativistic Collisions in Field Theory. Feynman Rules. Decays -- 11.1
Electron-Positron Annihilation into Two Photons, and Pair Creation by Two-Photon Collisions -- 11.1.1 e+e- Annihilation into 2? -- 11.1.2 Creation of an e+e- Pair by Two Photons -- 11.2 Feynman Rules. Gauge Invariance -- 11.2.1 Feynman
Rules for the Evaluation of Transition Amplitudes -- 11.2.2 Gauge Invariance -- 11.3 Polarized and Unpolarized Cross-sections. Sums Over Polarizations -- 11.4 Compton Scattering (Relativistic) -- 11.5 Decay of Bound States -- 11.5.1
General Theory -- 11.5.2 Decays of Positronium -- 11.5.3 Decay of Muonium into e+e-. Decays of Quarkonium -- 12. Relativistic Interactions with Classical Sources -- 12.1 Interaction with a Fixed (Classical) Potential -- 12.1.1
Scattering by an External Field -- 12.1.2 Bremsstrahlung -- 12.2 Photon Emission by a Classical Source. The Bloch-Nordsieck Theorem. Classical Limit -- 12.2.1 Classical Radiation -- 12.2.2 Photon Emission by a Classical Current --
12.2.3 Radiation of Coherent States -- 12.2.4 The Bloch—Nordsieck Theorem -- 12.3 Propagation of an Electron in a Classical Potential. The Proper-Time Method -- 12.3.1 Electron in a Coulomb Potential -- 12.3.2 The Proper-Time Method --
12.3.3 Dirac Particle in a Constant Field, or in a Plane Wave -- Appendices -- A.1 Spherical Harmonics, Clebsch—Gordan Coefficients, Matrix Representations of the Rotation Group -- A.1.1 Spherical Harmonics -- A.1.2 Some Specific
Values -- A.1.3 Multiplication Formulas -- A.1.4 Gegenbauer-like Formulas -- A.1.5 Spinor and Vector Spherical Harmonics -- A.1.6 Clebsch—Gordan Coefficients -- A.1.7 Rotation Matrices -- A.2 Special Functions -- A.2.1 Kummer, or
Confluent Hypergeometric Functions -- A.2.2 Bessel Functions -- A.2.3 Spherical Bessel Functions -- A.2.4 Bessel Functions of the Second Kind -- A.2.5 Laguerre Polynomials -- A.4 ? Matrices -- A.4.1 The Pauli Realization -- A.4.2 The
Weyl Realization -- A.4.3 The Majorana Realization -- A.6 Physical Quantities -- A.6.1 SI (Gauss) Units -- A.6.3 Other Relations -- References
ISBN:9783642610578
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Keywords: Mathematics , Algebra , Field theory (Physics) , Physics , Quantum physics , Elementary particles (Physics) , Quantum field theory , Mathematics , Field Theory and Polynomials , Elementary Particles, Quantum Field Theory , Mathematical Methods in Physics , Quantum Physics
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Call number:SPRINGER-1995-9789401585439:ONLINE Show nearby items on shelf
Title:Modern Group Theoretical Methods in Physics Proceedings of the Conference in Honour of Guy Rideau
Author(s):
Date:1995
Size:1 online resource (318 p.)
Note:10.1007/978-94-015-8543-9
Contents:The Problem of Invariants for Lie-Bäcklund Groups -- Galilean Coherent States and Wavelets -- On the Use of Quantum Algebras in Rotation-Vibration Spectroscopy -- Invariant Differential Calculus on a Deformation of the Weyl-Heisenberg
Algebra -- Noncompact Topological Quantum Groups -- Symmetric Symplectic Manifolds and Deformation Quantization -- The Conformal Invariance of the Klein-Gordon Equation in 1+1 Dimension -- Compact Topological Quantum Groups -- Groupes
de Transformations des Variétés Statistiques -- Non-Frustrated Signed Graphs -- De l’Ubiquité de la Condition KMS -- A Model for QCD in Three Dimensions -- Poisson Path Integral Representation of Green Functions for Certain Field
Theories -- Diffeomorphism Group Representations and Nonlinear Quantum Theories -- Conditional Symmetries for 1st order Systems of PDES in the Context of the Clairin Method -- Quasistationary Approximation and Gauge Invariance in
Classical Electrodynamics -- Graded Poisson Brackets and Field Theory -- The Basic Lemma in the Theory of Formal Groups -- Spectra and Generalized Eigenfunctions of the One- and Two-Mode Squeezing Operators in Quantum Optics -- A
Higgs-free Model for Fundamental Interactions -- Coupled Hodgkin Huxley Neurons with Stochastic Synaptic Inputs -- Initial Data for Non-Linear Evolution Equations and Differentiable Vectors of Group Representations -- Star Products:
Their Ubiquity and Unicity -- Finite Braid Groups for the SU(2) Knizhnik Zamolodchikov Equation -- Continuous Symmetries of Differential-Difference Equations -- Processus Limites et Irréversibilité en Mécanique Statistique hors
d’Equilibre -- Allocution de Clôture
ISBN:9789401585439
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematical Physics Studies : 18
Keywords: Physics , Group theory , Elementary particles (Physics) , Quantum field theory , Statistical physics , Dynamical systems , Physics , Theoretical, Mathematical and Computational Physics , Group Theory and Generalizations , Elementary Particles, Quantum Field Theory , Statistical Physics, Dynamical Systems and Complexity
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Call number:SPRINGER-1995-9783642793196:ONLINE Show nearby items on shelf
Title:The Quantum Hall Effects Integral and Fractional
Author(s): Tapash Chakraborty
Date:1995
Edition:Second Enlarged and Updated Edition
Size:1 online resource (302 p.)
Note:10.1007/978-3-642-79319-6
Contents:1. Quantum Hall Effect: The Basics -- 1.1 Two-Dimensional Electron Gas -- 1.2 Electrons in a Strong Magnetic Field -- 2. Integral Quantum Hall Effect -- 2.1 Experimental Work -- 2.2 Classical Hall Effect -- 2.3 Quantum Mechanical
Approach -- 2.4 Integral Quantization: Theoretical Work -- 2.5 Kubo Formula Approach -- 2.6 The Gauge Invariance Approach -- 2.7 The Topological Invariance Approach -- 3. Other Developments -- 3.1 Electron Localization in the Quantum
Hall Regime -- 3.2 Renormalization Group Approach -- 3.3 Current-Carrying Edge States -- 3.4 Transport in Edge Channels and Other Topics -- 4. Fractional Quantum Hall Effect: Introduction -- 5. Ground State -- 5.1 Finite-Size Studies:
Rectangular Geometry -- 5.2 Laughlin’s Theory -- 5.3 Spherical Geometry -- 5.4 Monte Carlo Results -- 5.5 Reversed Spins in the Ground State -- 5.6 Finite Thickness Correction -- 5.7 Liquid-Solid Transition -- 5.8 Magnetoluminescence
-- 6. Elementary Excitations -- 6.1 Quasiholes and Quasiparticles -- 6.2 Finite-Size Studies: Rectangular Geometry -- 6.3 Spin-Reversed Quasiparticles -- 6.4 Spherical Geometry -- 6.5 Monte Carlo Results -- 6.6 Experimental
Investigations of the Energy Gap -- 6.7 Fractional Statistics and the Anyons -- 6.8 The Hierarchy: Higher Order Fractions -- 6.9 Tilted-Field Effects and Reversed-Spin States -- 7. Collective Modes: Intra-Landau Level -- 7.1
Finite-Size Studies: Spherical Geometry -- 7.2 Rectangular Geometry: Translational Symmetry -- 7.3 Spin Waves -- 7.4 Single Mode Approximation: Magnetorotons -- 8. Collective Modes: Inter-Landau Level -- 8.1 Kohn’s Theorem -- 8.2
Filled Landau Level -- 8.3 Fractional Filling: Single Mode Approximation -- 8.4 Fractional Filling. Finite-Size Studies -- 9. Further Topics -- 9.1 Effect of Impurities -- 9.2 Quantization Condition -- 9.3 Higher Landau Levels -- 9.4
Even Denominator Filling Fractions -- 9.5 Multiple Layer Systems -- 9.6 Nature of Long-Range Order in the Laughlin State -- 10. Open Problems and New Directions -- Appendices -- A The Landau Wave Function in the Symmetric Gauge -- B
Kubo Formalism for the Hall Conductivity -- C The Hypernetted-Chain Primer -- D Repetition of the Intra-Landau-level Mode in the Inter-Landau-level Mode -- E Characteristic Scale Values -- References
ISBN:9783642793196
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Solid-State Sciences: 85
Keywords: Physics , Condensed matter , Materials , Thin films , Physics , Condensed Matter Physics , Surfaces and Interfaces, Thin Films , Mathematical Methods in Physics , Numerical and Computational Physics
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Call number:SPRINGER-1995-9783642577505:ONLINE Show nearby items on shelf
Title:Finite Quantum Electrodynamics The Causal Approach
Author(s): G Scharf
Date:1995
Edition:Second Edition
Size:1 online resource (410 p.)
Note:10.1007/978-3-642-57750-5
Contents:0. Preliminaries -- 0.0 Historical Introduction -- 0.1 Minkowski Space and the Lorentz Group -- 0.2 Tensors in Minkowski Space -- 0.3 Some Topics of Scattering Theory -- 0.4 Problems -- 1. Relativistic Quantum Mechanics -- 1.1 Spinor
Representations of the Lorentz Group -- 1.2 Invariant Field Equations -- 1.3 Algebraic Properties of the Dirac Equation -- 1.4 Discussion of the Free Dirac Equation -- 1.5 Gauge Invariance and Electromagnetic Fields -- 1.6 The Hydrogen
Atom -- 1.7 Problems -- 2. Field Quantization -- 2.1 Second Quantization in Fock Space -- 2.2 Quantization of the Dirac Field -- 2.3 Discussion of the Commutation Functions -- 2.4 The Scattering Operator (S-Matrix) in Fock Space -- 2.5
Perturbation Theory -- 2.6 Electron Scattering -- 2.7 Pair Production -- 2.8 The Causal Phase of the S-Matrix -- 2.9 Non-Perturbative Construction of the Causal Phase -- 2.10 Vacuum Polarization -- 2.11 Quantization of the Radiation
Field -- 2.12 Problems -- 3. Causal Perturbation Theory -- 3.1 The Method of Epstein and Glaser -- 3.2 Splitting of Causal Distributions -- 3.3 Application to QED -- 3.4 Electron Scattering (Moeller Scattering) -- 3.5 Electron-Photon
Scattering (Compton Scattering) -- 3.6 Vacuum Polarization -- 3.7 Self-Energy -- 3.8 Vertex Function: Causal Distribution -- 3.9 Vertex Function: Retarded Distribution -- 3.10 Form Factors -- 3.11 Adiabatic Limit -- 3.12 Charged
Particles in Perturbative QED -- 3.13 Charge Normalization -- 3.14 Problems -- 4. Properties of the S-Matrix -- 4.1 Vacuum Graphs -- 4.2 Operator Character of the S-Matrix -- 4.3 Normalizability of QED -- 4.4 Discrete Symmetries -- 4.5
Poincaré Covariance -- 4.6 Gauge Invariance and Ward Identities -- 4.7 Unitarity -- 4.8 Renormalization Group -- 4.9 Interacting Fields and Operator Products -- 4.10 Field Equations -- 4.11 Problems -- 5. Other Electromagnetic
Couplings -- 5.1 Scalar QED: Basic Properties -- 5.2 Scalar QED: Gauge Invariance -- 5.3 Axial Anomalies -- 5.4 (2+1)-Dimensional QED: Vacuum Polarization -- 5.5 (2+1)-Dimensional QED: Mass Generation -- 5.6 Problems -- 6. Epilogue:
Non-Abelian Gauge Theories -- Appendices -- A: The Hydrogen Atom According to the Schrödinger Equation -- B: Regularly Varying Functions -- C: Spence Functions -- D: Grassmann Test Functions -- Bibliographical Notes
ISBN:9783642577505
Series:eBooks
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Keywords: Physics , Quantum physics , Elementary particles (Physics) , Quantum field theory , Quantum computers , Spintronics , Physics , Quantum Physics , Quantum Information Technology, Spintronics , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-1995-9781461225041:ONLINE Show nearby items on shelf
Title:More Than One Mystery Explorations in Quantum Interference
Author(s): Mark P Silverman
Date:1995
Size:1 online resource (212 p.)
Note:10.1007/978-1-4612-2504-1
Contents:1 Fields Without Forces -- 1.1 The Enigma of Quantum Interference -- 1.2 Confined Fields and Electron Interference -- References -- 2 Around and Around: The Rotating Electron in Electromagnetic Fields -- 2.1 Broken Symmetry of the
Charged Planar Rotator -- 2.2 The Two-Dimensional Rotator in an Electric Field -- 2.3 The Two-Dimensional Rotator in a Magnetic Field -- 2.4 The Two-Dimensional Rotator in a Vector Potential Field -- 2.5 Fermions, Bosons, and Things
In-Between -- 2.6 Quantum Interference in a Metal Ring -- References -- 3 Interferometry of Correlated Particles -- 3.1 Ghostly Correlations: Wave and Spin -- 3.2 The AB—EPR Effect with Two Solenoids -- 3.3 The AB—HBT Effect in a
Two-Slit Interferometer -- 3.4 Correlated Particles in a Mach—Zehnder Interferometer -- 3.5 Brighter Than a Million Suns: Electron Beams from Atom-Size Sources -- References -- 4 Quantum Boosts and Quantum Beats -- 4.1 Interfering
Pathways in Time -- 4.2 Laser-Generated Quantum Beats -- 4.3 Nonlinear Effects in a Three-Level Atom -- 4.4 Correlated Beats from Entangled States -- References -- 5 Sympathetic Vibrations: The Atom in Resonant Fields -- 5.1 Beams,
Bottles, and Electric Resonance -- 5.2 Two Perspectives of the Two-Level Atom -- 5.3 Oscillating Field Theory -- 5.4 Resonance and Coherent States: The Tell-Tale Mark of a Quantum Jump -- 5.5 Quantum Interference in Separated
Oscillating Fields -- 5.6 Ion Interferometry and Tests of Gauge Invariance -- References -- 6 The Quantum Physics of Handedness -- 6.1 Optical Activity of Mirror-Image Molecules -- 6.2 Quantum Interference and Parity Conservation --
6.3 Optical Activity of Rotating Matter -- References
ISBN:9781461225041
Series:eBooks
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Keywords: Physics , Quantum physics , Quantum computers , Spintronics , Physics , Quantum Physics , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1994-9781475798357:ONLINE Show nearby items on shelf
Title:Contemporary Topics in Medium Energy Physics
Author(s):
Date:1994
Size:1 online resource (364 p.)
Note:10.1007/978-1-4757-9835-7
Contents:I. Field-Theoretic Treatments in QCD -- Regularization and Renormalization within the Hamiltonian Formulation of QCD -- Vacuum Polarization in Nucleon Structure -- QCD Sum Rules and the Nucleon Structure -- Evolution Equations for
Nonlocal Hadron Operators -- Non-perturbative Propagators in QCD -- An Extended Perturbation Theory for QCD -- II. Effective Chirally Symmetric Models and QCD -- Solitonic Solutions of the SU(2) Nambu-Jona-Lasinio Model with Vector
Mesons -- Highlights of the Nambu-Jona-Lasinio Chiral Soliton -- The Strange Content of the Baryons in the SU(3) Nambu-Jona-Lasinio Model -- Large-Nc Higher Order Weak Chiral Lagrangians for Nonleptonic and Radiative Kaon Decays -- A
Chirally Symmetric, Confining Quark Model -- Nucleon’s Possible Quark-Diquark Structure -- III. Electroweak Physics in General -- Consequences of the Heavy Quark Symmetry for Semileptonic Decays of Heavy Baryons -- Heavy Quark Symmetry
and Heavy-Flavor-Conserving Nonleptonic Weak Decays -- Spectator and Non-Spectator Models in the B Meson Systems -- The Electromagnetic Structure of Hadrons and Gauge Invariance -- Meson-Meson Contributions to the Nucleon Sigma-Term
and Electromagnetic Form Factors -- ? Excitations in Nuclei and the Coherent Pion Decay -- Recent Progress in the 3N- and 4N-Problem -- Spin-Dependent Inelastic Electron Scattering from Three-Nucleon Bound States -- Maximal-Decoupling
Variational Principle and Optimal Auxiliary Hamiltonians for Nuclear Collective Motions -- IV. Topological Solutions -- SU(N) Instantons in the Field Strength Approach to QCD -- Applications of instanton Induced Quark Forces in Hadron
Spectroscopy and Nuclear Physics -- Sphalerons in the Weak Interactions -- Braid Group Structure in Chern-Simons Theory on a Torus -- Anomaly Langrangian with Nucleon -- Author Index
ISBN:9781475798357
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Keywords: Physics , Nuclear physics , Heavy ions , Hadrons , Physics , Nuclear Physics, Heavy Ions, Hadrons
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Call number:SPRINGER-1993-9789401120067:ONLINE Show nearby items on shelf
Title:Clifford Algebras and their Applications in Mathematical Physics Proceedings of the Third Conference held at Deinze, Belgium, 1993
Author(s):
Date:1993
Size:1 online resource (411 p.)
Note:10.1007/978-94-011-2006-7
Contents:CLIFFORD ALGEBRAS and APPLICATIONS -- Quantum Clifford algebras -- Relations between Witt rings and Brauer groups -- Clifford algebra tables -- Finite geometry and the table of real Clifford algebras -- Jordan form in Clifford algebra
-- CLIFFORD ANALYSIS: Local and global theory for Dirac—type operators -- Elliptic boundary value problems in unbounded domains -- Dirac operators and manifolds with boundary -- Spin structures and harmonic spinors on Riemann surfaces
-- Spherical geometry and Möbius transformations -- Cauchy transforms and bi—axial monogenic power functions -- Note on the use of spherical vectorfields in Clifford analysis -- Quaternionic analysis and transmission problems --
C*—algebras of nonlocal quaternionic convolution type operators -- On the solutions of $$ {D^N}{\text{ }}{\hat D^M}{\text{ }}F = 0$$ -- Biregular quaternionic functions -- Monogenic and holomorphic functions -- Hypercomplex
differentiability and its applications -- Clifford algebras and boundary estimates for harmonic functions -- Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator --
On the analogue of the $$ \bar \partial$$ —problem in quaternionic analysis -- Hurwitz pairs and Clifford algebra representations -- On the Bergmann kernel function in the Clifford analysis -- SO(M)—invariant operators on Clifford
tensors -- Invariant differential operators on polynomial—valued functions -- A distributional approach to vector manifolds -- Clifford analysis for higher spins -- Quaternionic operator calculus and domain perturbation problems --
Classical Mechanics -- A hamiltonian model of dissipation with Clifford algebraic generalizations -- A formulation of hamiltonian mechanics using geometric calculus -- Mathematical Physics -- Local automorphism invariance: a
generalization of general relativity -- Differential forms in geometric calculus -- Clifford valued convolution operator algebras on the Heisenberg group -- Classical solutions of the Dirac equation: bound Coulomb states in
Aharonov-Bohm and Zeeman fields -- Geometric algebra versus numerical cartesianism -- Classification of multivector theories and the modification of the postulates of physics -- The “ideal” approach to spinors reconsidered -- Geometric
aspects of spinors -- A basis for double solution theory -- Spatial inversion and spinors -- Physical Models -- Non abelian gauge fields in the real Clifford algebra of space time -- Spin gauge theories: principles and predictions --
Gravity as a gauge theory in the spacetime algebra -- Cosmological consequences of a flat—space theory of gravity -- Zitterbewegung and electron structure -- Separation of the Dirac equation and positive definiteness of quantum numbers
ISBN:9789401120067
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundametal Theories of Physics:Their Clarification,Development and Application : 55
Keywords: Physics , Associative rings , Rings (Algebra) , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Physics , Theoretical, Mathematical and Computational Physics , Associative Rings and Algebras , Analysis , Applications of Mathematics
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Call number:SPRINGER-1993-9783642779152:ONLINE Show nearby items on shelf
Title:Theoretical Physics Text and Exercise Books Volume 5: Gauge Theory of Weak Interactions
Author(s): Walter Greiner
Date:1993
Size:1 online resource (308 p.)
Note:10.1007/978-3-642-77915-2
Contents:1. The Discovery of the Weak Interaction -- 1.1 The Universal Fermi Interaction -- 1.2 The Non-Conservation of Parity -- 2. Leptonic Interactions -- 2.1 The Current-Current Interaction (Charged Currents) -- 2.2 The Decay of the Muon
-- 2.3 The Lifetime of the Muon -- 2.4 Parity Violation in the Muon Decay -- 2.5 The Michel Parameters -- 2.6 The Tau Lepton -- 3. Limitations of Fermi Theory -- 3.1 Neutral Currents -- 3.2 Scattering of a Muon Neutrino by an Electron
-- 3.3 ??? — e– Scattering -- 3.4 High-Energy Behaviour of Neutrino-Electron Scattering -- 3.5 Supplement: Scattering Formalism for Spin-½ Particles -- 3.6 Divergences in Higher-Order Processes -- 4. The Salam-Weinberg Theory -- 4.1
The Higgs Mechanism -- 4.2 The Yang-Mills Field -- 4.3 The Feynman Rules of Yang-Mills Theory -- 4.4 The Glashow-Salam-Weinberg Model of Leptons -- 4.5 Spontaneous Symmetry Breaking: The Higgs Sector -- 4.6 Hidden SU(2) × U(1) Gauge
Invariance -- 5. Some Properties of the Salam-Weinberg Theory of Leptons -- 5.1 Decay of the Charged Vector Boson W- -- 5.2 The Process e+e- ? Z0 ? ?+?- -- 5.3 High-Energy Behaviour of the GSW Theory -- 6. Semi-Leptonic Interactions of
Hadrons -- 6.1 The World of Hadrons -- 6.2 Phenomenology of Decays of Hadrons -- 6.3 Weak Interactions of Quarks -- 6.4 Cabibbo’s Theory of Flavour Mixing -- 7. Nuclear Beta Decay -- 7.1 The MIT Bag Model -- 7.2 Beta Decay of the
Neutron -- 7.3 Nuclear Beta Decay -- 7.4 Properties of Allowed Beta Decays -- 8. The Neutral Kaon System -- 8.1 The Particles KS and KL -- 8.2 CP Violation -- 9. Unified Gauge Theories -- 9.1 Introduction: The Symmetry Group SU(5) --
9.2 Embedding SU(3)C×SU(2)L×U(1) into SU(5) -- 9.3 The SU(5) Gauge Theory -- 9.4 Spontaneous Breaking of the SU(5) Symmetry -- 9.5 Determination of the Scale of SU(5) Symmetry Breaking -- 9.6 Proton Decay -- 9.7 Outlook: Extensions of
the Standard Model -- A. Conventions and “Natural” Units -- B. The Dirac Equation -- C. Feynman Rules -- D. Symmetry Transformations
ISBN:9783642779152
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-1993-9781489912190:ONLINE Show nearby items on shelf
Title:Symmetries in Science VI From the Rotation Group to Quantum Algebras
Author(s):
Date:1993
Size:1 online resource (770 p.)
Note:10.1007/978-1-4899-1219-0
Contents:Deformable Media with Microstructure -- Biorthogonal and Orthogonal Bases in the Missing Label Problem -- Lie Ideals and Symmetric Bi-Derivations of Prime Rings -- From Q-Oscillators to Quantum Groups -- An Analog of the Fourier
Transformation for a q-Harmonic Oscillator -- Geometry, Group Theory and Partitions -- Origin of Spin: From Rotation Group to Noncommutative Zitterbewegung -- Massless Representations of the Poincaré Group and Conformai Invariance --
q-Deformed Oscillators in Nuclear and Molecular Physics -- Induced Representations and the Frobenius Theorem for Finite Quantum Groups -- Non-Abelian Surprises for Gauge Fields Coupled to Gravity -- Colored Supersymmetry of Mesons and
Baryons based on Octonionic Algebras -- Quantum Algebras and Lie Groups -- q-Fock Space Representations of the q-Lorentz Algebra and Irreducible Tensors -- Construction of Quantum Groups and the Yang-Baxter Equation with Spectral
Parameter -- Supersymmetry and the Nonlocal Yangian Deformation Symmetry -- Quantum Algebras: Representations and Real Forms -- Lagrangians from Equations: a Skyrmion Case Study -- Probability, Representations, and Coordinates on Lie
Groups -- A Quantum Algebraic Interpretation of the Basic Hypergeometric Series r?s -- Generalized Lie Algebras -- Geometrization of Mechanics -- The Fractional Quantum Hall Effect and the Rotation Group -- Universal Regularities in
Multiparticle Production -- On the Octonionic Nahm Equations and Self-Dual Membranes in 9 Dimensions -- Vector Coherent State Constructions of U(3) Canonical Shift Tensors of Biedenharn-Louck Type -- New Applications of the
Biedenharn-Temple Operator -- On the Group Theory of the Polarization States of a Gauge Field -- Representation Theory of Finite Groups -- Fate of Classical Symmetry in Field Theory -- Quark Rotation Groups for the Atomic f Shell --
Z3-Grading and Ternary Algebraic Structures -- Infinite Dimensional Representations of Quantum Algebras -- Free Groups, their Automorphism Groups, Applications -- Upper Bound on the Top Quark Mass for Supersymmetric SU(5) Model --
Representations of Classical Groups on the Lattice and its Application to the Field Theory on Discrete Space-Time -- From the Rotation Group to the Poincaré Group -- D=4 Quantum Poincaré-Heisenberg Algebra -- ?-Deformed Poincaré
Algebra and some Physical Consequences -- Geometrical Phase, Generalized Quasienergy and Floquet Operator as Invariants -- Algebraic Structure of Observables in Nonequilibrium Thermodynamics and their Biological Significance -- The
Dirac Oscillator and a Baryon Mass Formula -- Universal SU(2/1) and the Higgs and Fermion Masses -- Novel Implications of the q-Analogue Coherent States -- Covariant Quantum Algebras -- Q-Deformation of Para-Fermi Commutation Relations
-- Yang-Baxter Equation and the Triple Product Systems -- Spin-Statistics and Topology -- Unitary Group Approach to Valence Bond and Coupled Cluster Methods -- Is There Any Relation between N Pairs of Deformed Q-Bosons and
Uq[OSP(1/2N)]? -- q-Bosons and Irreducible Tensors for q-Algebras -- Noncommutative Dynamics -- The Biedenharn-Louck Tensor Calculus from a Vector Coherent State Perspective -- QCD Originated Dynamical (Super) Symmetry for Hadrons --
The Two-Dimensional Symplectic and Metaplectic Groups and their Universal Cover -- Some Aspects of q-Boson Calculus -- Quantum Group Analogues of Squeezed States -- The Pauli Principle and Systems Consisting of Composite Particles --
Quantum Galilei Group as a Symmetry of the Heisenberg Linear Magnetic Chain -- Aspects of Lie Algebra Quantization -- Parallel Lifts and Holonomy along Density Operators: Computable Examples using O(3)-Orbits -- Covariant Form of
Center of Energy -- Yet Another Form of the Relation Between Quantum and Classical Physics
ISBN:9781489912190
Series:eBooks
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Keywords: Physics , Gravitation , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques , Classical and Quantum Gravitation, Relativity Theory , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1992-9783642773037:ONLINE Show nearby items on shelf
Title:Mathematical Physics X Proceedings of the Xth Congress on Mathematical Physics, Held at Leipzig, Germany, 30 July – 9 August, 1991
Author(s):
Date:1992
Size:1 online resource (497 p.)
Note:10.1007/978-3-642-77303-7
Contents:I Plenary Lectures -- Recent Progress in Classical Mechanics -- to the Differential Geometry of Quantum Groups -- Chaotic Quantum Systems -- Dynamical Zeta Functions: Where Do They Come From and What Are They Good For? --
Billiard-Type Systems with Chaotic Behaviour and Space-Time Chaos -- Statistical Physics and Spectral Theory of Disordered Systems: Some Recent Developments -- Low Temperature Stochastic Spin Dynamics: Metastability, Convergence to
Equilibrium and Phase Segregation -- Entropy Methods in Hydrodynamical Scaling -- Quantum Groups and Non-Commutative Differential Geometry -- Hamiltonian Methods in Conformal Field Theory -- On the General Theory of Quantized Fields --
Atomic and Molecular Structure — A Renormalized Picture — -- Gauge Invariance in Non-Relativistic Many-Body Theory -- Asymptotic Completeness for N-Body Quantum Systems -- Self-Dual Chern—Simons Solitons -- Mathematical Theory of
Classical Fields and General Relativity -- Representations of Quantized Differential Forms in Non-Commutative Geometry -- II Session Lectures -- Section 1: Analysis on Manifolds and Classical Mechanics -- Solutions of Nonlinear Wave
Equations and Localization Theory -- Connections on Symplectic Manifolds and Characteristic Classes of Hamiltonian Systems -- Symplectic Twist Maps and the Theorem of Conley—Zehnder for General Cotangent Bundles -- Floer Homology for
Mapping Cylinders -- Section 2: Quantum Groups and Non-Commutative Differential Geometry -- ?-Deformation of (Super)Poincaré Algebra -- Quantum Physics as Non-Commutative Geometry -- An Operator Algebraic Framework for the Duality of
Quantum Groups -- Section 3: Chaotic Quantum Systems -- Distribution of Energy Levels in Quantum Systems with Integrable Classical Counterpart. Rigorous Results -- Entropy-Invariants of Dynamical Systems and Perturbations of Operators
-- Chaotic Motion in Coulombic Potentials -- Generalized Floquet Operator for Quasiperiodically Driven Quantum Systems -- Section 4: Equilibrium Statistical Mechanics -- Magnetization and Slow Decay of Correlations in Continuum 1/r2
Ising Models -- Existence of the Kosterlitz-Thouless Phase for Two-Dimensional Coulomb Gases at Inverse Temperatures above 8? -- Large Deviation Behavior of Statistical Mechanics Models in the Multiphase Regime -- Section 5: Classical
Dynamical Systems and Random Perturbations -- A Variational Approach to the Random Diffeomorphisms Type Perturbations of a Hyperbolic Diffeomorphism -- Chaotic Mappings and Stochastic Markov Chains -- Section 6: Disordered Systems --
Quantum Spin Systems in a Random Environment -- Rounding Effects in Systems with Static Disorder -- Section 7: Nonequilibrium Statistical Mechanics -- Derivation of Euler Equation from Hamiltonian Systems with Negligible Random Noise
-- The Spatial Structure in Diffusion Limited Two-Particle Reactions -- Multilevel Models of Interacting Diffusions and Large Deviations -- Section 8: General Theory of Quantized Fields -- Fields, Particles and Analyticity: Recent
Results -- Quantum Field Theory in Curved Spacetime -- Charges in Quantum Field Theory -- Three Exactly Soluble Quantum Field Theory Models in 2-, 3- and 4-Dimensional Space Time and Some General Questions They Suggest -- CPT- and
Lorentz-Transformations in Two-Dimensional Quantum Field Theory -- The Concept of Spontaneously Broken Symmetry and a New Approach to Goldstone’s Theorem -- Section 9: Nonrelativistic Quantum Mechanics (Stationary) -- On the Atomic
Energy Asymptotics -- Section 10: Special Systems in Quantum Field -- Existence of the Schwinger Functions of the Three-Dimensional Gross-Neveu Model -- Progress in Completely Integrable Models of Quantum Field Theory -- Section 11:
Scattering Theory, Inverse Problems -- Inverse Scattering at Fixed Energy -- Semi-Classical and High-Energy Asymptotics of the Scattering Phase for Perturbations of Elliptic Operators -- On the Mapping Properties of the Wave Operators
in Scattering Theory -- Section 12: Conformai and Topological Field Theory -- Reduction of Kac-Moody Systems -- Quantum Symmetry of Rational Conformal Models -- Section 13: General Relativity and Classical Field Theory -- Quasi-Normal
Modes of the Schwarzschild Space-Time -- The Initial Value Problem for Self-Gravitating Fluid Bodies -- Poster Session and Program -- Poster Session -- Program
ISBN:9783642773037
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Keywords: Mathematics , Mathematical physics , Physics , Thermodynamics , Statistical physics , Dynamical systems , Mathematics , Mathematical Physics , Mathematical Methods in Physics , Thermodynamics , Statistical Physics, Dynamical Systems and Complexity
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Call number:SPRINGER-1992-9781461533740:ONLINE Show nearby items on shelf
Title:Quantum Mechanics of Fundamental Systems 3
Author(s):
Date:1992
Size:1 online resource (243 p.)
Note:10.1007/978-1-4615-3374-0
Contents:1 Fractional Statistics in Quantum Mechanics -- 1. Introduction -- 2. Charge-Flux Composites -- 3. Dilute Anyon Gases -- 4. Fractional Statistics in the Quantized Hall Effect -- 5. Many-Body Theory of the Anyon Gas -- 6. Chern-Simons
Field Theory and Fractional Statistics -- Appendix: Many Anyons in a Magnetic Field -- References -- 2 Microscopic and Macroscopic Loops in Nonperturbative Two-Dimensional Gravity -- References -- 3 Supersymmetry and Gauge Invariance
in Stochastic Quantization -- 1. Introduction -- 2. Langevin Equations for Theories with a Yang-Mills Symmetry -- 3. The Partition function -- 4. The Case of Diffeomorphism Invariance -- 5. The Case of First-Order Systems -- References
-- 4 Covariant Superstrings -- 1. Introduction -- 2. The Minimal Covariant Action -- 3. Covariant Superstrings from the Light-Cone Gauge -- References -- 5 Constraints on the Baryogenesis Scale from Neutrino Masses -- 1. Introduction
-- 2. Heavy Neutrino Decays -- 3. Conclusions -- References -- 6 The Antifield-BRST Formalism for Gauge Theories -- 1. Introduction -- 2. Structure of the Gauge Symmetries -- 3. Gauge Invariance and BRST Invariance—Basic Requirements
-- 4. Relativistic Description of Gauge-invariant Functions -- 5. The Koszul-Tate Resolution -- 6. The Exterior Derivative along the Gauge Orbits -- 7. BRST Symmetry—Master Equation -- 8. Path Integral -- 9. Examples -- Appendix:
Abelianization of the Gauge Transformations -- References -- 7 Combinatorics of Mapping Class Groups and Matrix Integration -- 1. Introduction -- 2. Matrix Integration Revisited -- 3. Harmonic Oscillator and Fermions -- 4. The Virtual
Euler Characteristic of the Mapping Class Group -- 5. Direct Method -- 6. Concluding Remarks -- References -- 8 Field-theoretical Description of High-Tc Superconductors: Topological Excitations, Generalized Statistics, and Doping -- 1.
Introduction -- 2. The Continuum Model for High-Tc Superconductors -- 3. Quantization of Topological Excitations in the Continuum Models for the New Superconductors -- 4. Generalized Statistics and Superconductivity -- 5. Introduction
of Dopants: A Possible Mechanism of Superconductivity -- References -- 9 Random Dynamics, Three Generations, and Skewness -- 1. Random Dynamics -- 2. Field Theory Glass -- 3. Skewness the Golden Principle -- References -- 10 Gauge
Anomalies in Two Dimensions -- 1. Introduction -- 2. The Chiral Schwinger Model: The Effective Action -- 3. Solutions of the CSM -- 4. Non-Abelian Chiral Gauge Theory -- References -- 11 Some Topics in Topological Quantum Field
Theories -- 1. Introduction -- 2. TQFTs and Stochastic Processes -- 3. Two-Dimensional Models -- 4. Topological Invariants -- References
ISBN:9781461533740
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Keywords: Physics , Nuclear physics , Heavy ions , Hadrons , Atoms , Physics , Atomic, Molecular, Optical and Plasma Physics , Nuclear Physics, Heavy Ions, Hadrons , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1991-9783540473633:ONLINE Show nearby items on shelf
Title:Group Theoretical Methods in Physics Proceedings of the XVIII International Colloquium Held at Moscow, USSR, 4–9 June 1990
Author(s):
Date:1991
Size:1 online resource (601 p.)
Note:10.1007/3-540-54040-7
Contents:Introductory talk -- Creating “clouds” -- Opening remarks -- Laudatio for Professor Francesco Iachello -- Symmetry -- Dynamical and fundamental symmetries in particles and nuclei -- Spectrum generating groups — idea and application --
The role of dynamic symmetries and supersymmetries in nuclear physics -- SO(3,2) for oscillator and hydrogenlike systems -- Conformal groups in the Kepler problem -- Potential group in optics: The maxwell fish-eye system -- Transition
to chaos in hadronic systems -- The dynamical group of Riemann ellipsoids -- An algebraic model of cluster states in odd-mass nuclei -- Compact to noncompact transition and nuclear collective levels -- $$\overline {SL(3,R)} \times
T^6$$ as a nuclear collective motion group -- Exceptional groups and the interacting boson approximation -- An overview of quantum groups -- Integrable theories, Yang-Baxter algebras and quantum groups: An overview -- Finite -
dimensional irreducible representations of the quantum superalgebra Uq[gl(n/I)] -- Projection operator method and Q-analog of angular momentum theory -- Quantum algebras and symmetries of dynamical systems -- Coulomb gas realization of
simple quantum groups -- String theory, quantum gravity and quantum groups -- q-Oscillator realizations of the quantum superalgebras sl q (m, n)andosp q (m, 2n) -- Relativistic oscillator = q-oscillator -- Some aspects of the angular
momentum coefficients in SUq (2) -- Contractions and analytic continuations of the irreducible representations of the quantum algebra suq(2) -- Universal R-matrix for quantum supergroups -- Recent progress in non-commutative geometry
-- Algebraic gauge theory and noncommutative geometry -- Classification of the symmetries of ordinary differential equations -- Conditional symmetries and conditional integrability for nonlinear systems -- Cohomology and symmetry of
differential equations -- Derivations of semi-basic forms and symmetries of second-order equations -- Hamilton-Jacobi equations in SU(2, 2) homogeneous spaces -- Linearization of PDEs -- Perturbed nonlinear equations: Application to
the Korteweg-Devries equation considered as a perturbed Euler equation -- Algebraic version of the soliton perturbation theory -- Extended chiral conformal models with a quantum group symmetry -- Conformal reduction of WZNW theories
and W-algebras -- The resurrection of a forgotten symmetry: De broglie' s symmetry -- Relativistic invariance of a many body system with a Dirac oscillator interaction -- Derivation of the geometrical berry phase -- Gauge translations
and the Berry phase -- Geometric quantization: Regular representations and modular algebras -- Geometro-stochastic quantization and quantum geometry -- SO(4,1)-Coherent states and the geometro-stochastic quantization of a gauge theory
for extended objects -- Covariant quantum mechanics and the symmetries of its radiation fields -- Double stratonovich - Hubbard trick and novel path integral for a system of interacting fermions -- Nonrelativistic limit of superfield
theories -- Remarks on the supersymmetric WKB quantization formula -- Particle in a self-dual monopole field: example of supersymmetric quantum mechanics -- Supersymmetry and electron angular momentum -- Parasupersymmetries and Lie
superalgebras -- Quantum chaos: Spectra and states -- Quantum ergodicity and eigenvalue problems for plane polygons -- “Classical” in terms of general statistical models -- Temporal decoherence in Lorentz-squeezed hadrons -- Physical
significance of correlated and squeezed states -- On the symmetry and dynamics of squeezed and correlated states -- Correlated States of Quantum Chain -- Interaction of weak coherent light with a system of two - level atoms in a
lossless cavity -- Time dependent quantum tunnelling -- Non-spurious harmonic oscillator states with arbitrary permutational symmetry -- Symmetry analysis of the qualitative intramolecular phenomena -- Algebras of the SU(n) vector
invariants and some of their applications -- Product formulas for Q-representatives -- Tensor products for affine Kac-Moody algebras -- Atypical modules of the lie superalgebra gl (m/n) -- Vector coherent state theory of the
non-compact orthosymplectic superalgebras -- The composition factors of kac modules of sl(M/N) -- Clifford algebras, spinors and finite geometries -- Reducibility of Euclidean motion groups -- Software packages: Space groups and their
representations -- Software packages: Transformation coefficients for space groups -- Icosahedral dissectable tilings from the root lattice D6 -- Groups with G-number parameters -- Regge Calculus with torsion -- Quasiperiodicity: Local
and global aspects -- Derivative Moufang transformations -- On the explicit form of consistent anomalies -- Berry phases and Wyckoff positions for energy bands in solids -- Crystallography of quasicrystals: The problem of restoration
of broken symmetry
ISBN:9783540473633
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Series:Lecture Notes in Physics: 382
Keywords: Physics , Quantum physics , Quantum computers , Spintronics , Physics , Quantum Physics , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1990-9789400925854:ONLINE Show nearby items on shelf
Title:Renormalized Quantum Field Theory
Author(s): O. I Zavialov
Date:1990
Size:1 online resource (524 p.)
Note:10.1007/978-94-009-2585-4
Contents:I. Elements of Quantum Field Theory -- 1. Quantum Free Fields -- 2. The Chronological Products of Local Monomials of the Free Field -- 3. Interacting Fields -- II. Parametric Representations for Feynman Diagrams. R-Operation -- 1.
Regularized Feynman Diagrams -- 2. Bogoliubov-Parasiuk R-Operation -- 3. Parametric Representations for Renormalized Diagrams -- III. Bogoliubov-Parasiuk Theorem. Other Renormalization Schemes -- 1. Existence of Renormalized Feynman
Amplitudes -- 2. Infrared Divergencies and Renormalization in Massless Theories -- 3. The Proof of Theorems 1 and 2 -- 4. Analytic Renormalization and Dimensional Renormalization -- 5. Renormalization ‘without Subtraction’.
Renormalization ‘over Asymptotes’ -- IV. Composite Fields. Singularities of the Product of Currents at Short Distances and on the Light Cone -- 1. Renormalized Composite Fields -- 2. Products of Fields at Short Distances -- 3. Products
of Currents at Short Distances -- 4. Products of Currents near the Light Cone -- 5. Equations for Composite Fields -- 6. Equations for Regularized Green Functions -- V. Renormalization of Yang-Mills Theories -- 1. Classical Theory and
Quantization -- 2. Gauge Invariance and Invariant Renormalizability -- 3. Invariant Regularization and invariant Renormalization Schemes -- 4. Anomalies -- Appendix. On Methods of Studying Deep-Inelastic Scattering -- A.1.
Deep-Inelastic Scattering -- A.2. The Traditional Approach to Deep-Inelastic Scattering -- A.3. The Non-Local Light-Cone Expansion as the Basic Tool to Study Deep-Inelastic Scattering -- A Guide to Literature -- References
ISBN:9789400925854
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Series:Mathematics and Its Applications (Soviet Series): 21
Keywords: Mathematics , Functional analysis , Quantum physics , Atoms , Physics , Mathematics , Functional Analysis , Quantum Physics , Atomic, Molecular, Optical and Plasma Physics
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Call number:SPRINGER-1990-9783642880827:ONLINE Show nearby items on shelf
Title:Relativistic Quantum Mechanics Wave Equations
Author(s): Walter Greiner
Date:1990
Size:1 online resource (345 p.)
Note:10.1007/978-3-642-88082-7
Contents:1. Relativistic Wave Equation for Spin-0 Particles The Klein-Gordon Equation and Its Applications -- 1.1 The Notation -- 1.2 The Klein-Gordon Equation -- 1.3 The Nonrelativistic Limit -- 1.4 Free Spin-0 Particles -- 1.5
Energy-Momentum Tensor of the Klein-Gordon Field -- 1.6 The Klein-Gordon Equation in Schrödinger Form -- 1.7 Charge Conjugation -- 1.8 Free Spin-0 Particles in the Feshbach-Villars Representation -- 1.9 The Interaction of a Spin-0
Particle with an Electromagnetic Field -- 1.10 Gauge In variance of the Coupling -- 1.11 The Nonrelativistic Limit With Fields -- 1.12 Interpretation of One-Particle Operators in Relativistic Quantum Mechanics -- Biographical Notes --
2. A Wave Equation for Spin-$$\frac{1}{2}$$ Particles — The Dirac Equation -- 2.1 Free Motion of a Dirac Particle -- 2.2 Single-Particle Interpretation of the Plane (Free) Dirac Waves -- 2.3 Nonrelativistic Limit of the Dirac Equation
-- Biographical Notes -- 3. Lorentz-Covariance of the Dirac Equation -- 3.1 Formulation of Covariance (Form Invariance) -- 3.2 Construction of the ? Operator for Infinitesimal Lorentz Transformations -- 3.3 Finite Proper Lorentz
Transformations -- 3.4 The ? Operator for Proper Lorentz Transformations -- 3.5 The Four-Current Density -- Biographical Notes -- 4. Spinors under Spatial Reflection -- 5. Bilinear Covariants of the Dirac Spinors -- Biographical Notes
-- 6. Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations -- 6.1 Plane Waves in Arbitrary Directions -- 6.2 The General Form of the Free Solutions and Their Properties -- 6.3
Polarized Electrons in Relativistic Theory -- 7. Projection Operators for Energy and Spin -- 7.1 Simultaneous Projections of Energy and Spin -- 8. Wave Packets of Plane Dirac Waves -- 9. Dirac Particles in External Fields: Examples and
Problems -- 10. The Two-Centre Dirac Equation -- 11. The Foldy-Wouthuysen Representation for Free Particles -- 11.1 The Foldy-Wouthuysen Representation in the Presence of External Fields -- 12. The Hole Theory -- 12.1 Charge
Conjugation -- 12.2 Charge Conjugation of Eigenstates with Arbitrary Spin and Momentum -- 12.3 Charge Conjugation of Bound States -- 12.4 Time Reversal and PCT Symmetry -- Biographical Notes -- 13. Klein’s Paradox -- 14. The Weyl
Equation — The Neutrino -- 15. Wave Equations for Particles with Arbitrary Spins -- 15.1 Particles with Finite Mass -- 15.2 Massless Particles -- 15.3 Spin-1 Fields for Particles with Finite Mass Proca Equations -- 15.4 Kemmer Equation
-- 15.5 The Maxwell Equations -- 15.6 Spin-$$\frac{3}{2}$$ Fields -- Biographical Notes -- 16. Lorentz Invariance and Relativistic Symmetry Principles -- 16.1 Orthogonal Transformations in Four Dimensions -- 16.2 Infinitesimal
Transformations and the Proper Subgroup of O(4) -- 16.3 Classification of the Subgroups of O(4) -- 16.4 The Inhomogeneous Lorentz Group -- 16.5 The Conformal Group -- 16.6 Representations of the Four-Dimensional Orthogonal Group and
Its Subgroups -- 16.7 Representation of SL(2,C) -- 16.8 Representations of SO(3,R) -- 16.9 Representations of the Lorentz Group Lp -- 16.10 Spin and the Rotation Group -- Biographical Notes
ISBN:9783642880827
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Call number:SPRINGER-1990-9783642839382:ONLINE Show nearby items on shelf
Title:Quantization of Fields with Constraints
Author(s): Dmitriy M Gitman
Date:1990
Size:1 online resource (294 p.)
Note:10.1007/978-3-642-83938-2
Contents:1. Introduction -- 1.1 General -- 1.2 Singular Theories -- 2. The Structure of the Classical Singular Theory -- 2.1 Hamiltonian Formalism -- 2.2 Constraints -- 2.3 Theories with Second-Class Constraints -- 2.4 Theories with
First-Class Constraints -- 2.5 Physical Interpretation of Degenerate Theories -- 2.6 Physical Quantities and Gauges in the Hamiltonian Formalism -- 2.7 Lagrangian Formalism, First-Class Constraints and Gauge Invariance -- 2.8
Formulation of a Singular Boson- and Fermion Theory in the Berezin Algebra -- 3. Canonical Quantization of Singular Theories -- 3.1 Dirac Quantization -- 3.2 The Generating Functional of Green Functions -- 3.3 Functional Integrals --
3.4 Representation of the Generating Functional of Green Functions in the Form of a Functional Integral -- 4. Canonical Quantization of Physical Field Theories -- 4.1 Quantization of Electrodynamics in Canonical Gauges -- 4.2
Quantization of Electrodynamics in Covariant Gauges -- 4.3 Models with Yang-Mills Fields -- 4.4 Gravity -- 5. Lagrangian Quantization of Gauge Theories -- 5.1 Effective Action -- 5.2 Operator Formulation -- 6. Gauge Theories of Special
Form -- 6.1 Structure of the Theories of Special Form -- 6.2 Alternative Methods of Canonical Quantization of the Theories of Special Form -- 6.3 Equivalence of the Definitions of Physical Functions in the Lagrangian and Hamiltonian
Formalisms -- 7. Quantization of Singular Theories with Higher Derivatives and Theories with Time-Dependent Constraints -- 7.1 Theories with Higher Derivatives -- 7.2 Theories with Explicitly Time-Dependent Lagrangians and Constraints
-- 7.3 Quantization of a Relativistic Particle -- A. Some Properties of Constraints -- B. Canonical Transformation Theorems -- C. Systems of Ordinary Differential Equations Unsolvable with Respect to the Highest Derivatives -- D.
Berezin Algebra -- E. Some Properties of the Dirac Bracket -- F. Some Singular Functions -- References -- Notation
ISBN:9783642839382
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Keywords: Physics , Quantum physics , Nuclear physics , Heavy ions , Hadrons , Elementary particles (Physics) , Quantum field theory , Nuclear fusion , Quantum computers , Spintronics , Physics , Quantum Physics , Elementary Particles, Quantum Field Theory , Nuclear Physics, Heavy Ions, Hadrons , Nuclear Fusion , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1990-9783642749223:ONLINE Show nearby items on shelf
Title:Classical Dynamics and Its Quantum Analogues
Author(s): David Park
Date:1990
Edition:Second Enlarged and Updated Edition
Size:1 online resource (333 p.)
Note:10.1007/978-3-642-74922-3
Contents:1. Rays of Light -- 1.1 Waves, Rays, and Orbits -- 1.2 Phase Velocity and Group Velocity -- 1.3 Dynamics of a Wave Packet -- 1.4 Fermat’s Principle of Least Time -- 1.5 Interlude on the Calculus of Variations -- 1.6 Optics in a
Gravitational Field -- 2. Orbits of Particles -- 2.1 Ehrenfest’s Theorems -- 2.2 Oscillators and Pendulums -- 2.3 Interlude on Elliptic Functions -- 2.4 Driven Oscillators -- 2.5 A Driven Anharmonic Oscillator -- 2.6 Quantized
Oscillators -- 2.7 Coherent States -- 3. Lagrangian Dynamics -- 3.1 Lagrange’s Equations -- 3.2 The Double Pendulum -- 3.3 Planets and Atoms -- 3.4 Orbital Oscillations and Stability -- 3.5 Orbital Motion: Vectorial Integrals and
Hyperbolic Orbits -- 3.6 Other Forces -- 3.7 Bohr Orbits and Quantum Mechanics: Degeneracy -- 3.8 The Principle of Maupertuis and Its Practical Utility -- 4. N-Particle Systems -- 4.1 Center-of-Mass Theorems -- 4.2 Two-Particle Systems
-- 4.3 Vibrating Systems -- 4.4 Coupled Oscillators -- 4.5 The Virial Theorem -- 4.6 Hydrodynamics -- 5. Hamiltonian Dynamics -- 5.1 The Canonical Equations -- 5.2 Magnetic Forces -- 5.3 Canonical Transformations -- 5.4 Infinitesimal
Transformations -- 5.5 Generating Finite Transformations from Infinitesimal Ones -- 5.6 Deduction of New Integrals -- 5.7 Commutators and Poisson Brackets -- 5.8 Gauge Invariance -- 6. The Hamilton-Jacobi Theory -- 6.1 The
Hamilton-Jacobi Equation -- 6.2 Step-by-Step Integration of the Hamilton-Jacobi Equation -- 6.3 Interlude on Planetary Motion in General Relativity -- 6.4 Jacobi’s Generalization -- 6.5 Orbits and Integrals -- 6.6 “Chaos” -- 6.7
Coordinate Systems -- 6.8 Curvilinear Coordinates -- 6.9 Interlude on Classical Optics -- 7. Action and Phase -- 7.1 The Old Quantum Theory -- 7.2 Hydrogen Atom in the Old Quantum Theory -- 7.3 The Adiabatic Theorem -- 7.4 Connections
with Quantum Mechanics -- 7.5 Heisenberg’s Quantum Mechanics -- 7.6 Matter Waves -- 7.7 Schrödinger’s “Derivation” -- 7.8 Construction of a Wave Function -- 7.9 Phase Shifts in Dynamics -- 8. Theory of Perturbations -- 8.1 Secular and
Periodic Perturbations -- 8.2 Perturbations in Quantum Mechanics -- 8.3 Adiabatic Perturbations -- 8.4 Degenerate States -- 8.5 Quantum Perturbation Theory for Positive-Energy States -- 8.6 Action and Angle Variables -- 8.7 Canonical
Perturbation Theory -- 8.8 Newtonian Precession -- 9. The Motion of a Rigid Body -- 9.1 Angular Velocity and Momentum -- 9.2 The Inertia Tensor -- 9.3 Dynamics in a Rotating Coordinate System -- 9.4 Euler’s Equations -- 9.5 The
Precession of the Equinoxes -- 9.6 Quantum Mechanics of a Rigid Body -- 9.7 Spinors -- 9.8 Particles with Spin -- 10. Continuous Systems -- 10.1 Stretched Strings -- 10.2 Four Modes of Description -- 10.3 Example: A Plucked String --
10.4 Practical Use of Variation Principles -- 10.5 More Than One Dimension -- 10.6 Waves in Space -- 10.7 The Matter Field -- 10.8 Quantized Fields -- 10.9 The Mössbauer Effect -- 10.10 Classical and Quantum Descriptions of Nature --
References -- Notation
ISBN:9783642749223
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Call number:SPRINGER-1990-9783540471561:ONLINE Show nearby items on shelf
Title:Physical and Nonstandard Gauges Proceedings of a Workshop Organized at the Institute for Theoretical Physics of the Technical University, Vienna, Austria September 19–23, 1989
Author(s):
Date:1990
Size:1 online resource (310 p.)
Note:10.1007/BFb0015131
Contents:Why canonical quantization is the only known way to quantize correctly -- Canonical quantization of Yang-Mills theories in axial and planar gauges -- BRST-approach to noncovariant gauges -- Canonical quantization of gauge theories in
axial gauges -- Gauge invariance and BRS quantum field theory -- Some aspects of the Fock-Schwinger and poincaré gauges -- Good and bad news concerning axial gauges -- The temporal gauge: Where do we stand? -- Unified-gauge formalism
at two loops -- Renormalization and the S- matrix in YM theory in axial gauges -- Tests of gauge invariance in quantum local gauge field theories -- The analytic, principal-value and Landshoff prescriptions for axial gauges -- Trouble
even with the Coulomb gauge -- Temporal gauge propagator from the Coulomb gauge -- Regularization and Feynman rules in noncovariant gauges -- A criterion of consistency for gauge theories in the axial gauge -- A check of the Lee-Ward
identities in the planar gauge with the Leibbrandt-Mandelstam prescription -- Nonstandard gauges: A personal point of view -- Gauge independence through extended BRS symmetry: Application to the light-cone gauge -- Extended
BRS-symmetry and renormalization in the axial gauge -- Superaxial gauges -- The Piguet-Sibold identities and the light-cone gauge -- BRS techniques applied to the temporal-planar gauge with the vienna prescription: The dependence on
the axial vectors -- Comments on the proof of the renormalized action principle -- On-shell compatibility of clashing gauges in quark condensate contributions to standard model selfenergies -- Beyond perturbation theory in the axial
gauge -- Cancellation of 1/n · .p-factors in light-cone gauge Yang-Mills theory -- The gluon propagator in two dimensional space-time -- Hot gluon matter and physical gauges -- Gluon response functions in noncovariant gauges -- Towards
a consistent calculation of the QCD plasmon damping constant' -- Nonlocality, Coexistence of UV and IR Asymptotic Freedom and the Landau Damping of Hot QCD Plasma -- The temporal axial gauge at finite temperature
ISBN:9783540471561
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Series:Lecture Notes in Physics: 361
Keywords: Physics , Quantum physics , Elementary particles (Physics) , Quantum field theory , Quantum computers , Spintronics , Physics , Quantum Physics , Quantum Information Technology, Spintronics , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-1989-9783662011874:ONLINE Show nearby items on shelf
Title:Finite Quantum Electrodynamics
Author(s): G Scharf
Date:1989
Size:1 online resource (224 p.)
Note:10.1007/978-3-662-01187-4
Contents:0. Preliminaries -- 0.1 Minkowski Space and the Lorentz Group -- 0.2 Tensors in Minkowski Space -- 0.3 Some Topics of Scattering Theory -- 1. Relativistic Quantum Mechanics -- 1.1 Spinor Representations of the Lorentz Group -- 1.2
Invariant Field Equations -- 1.3 Algebraic Properties of the Dirac Equation -- 1.4 Discussion of the Free Dirac Equation -- 1.5 Gauge Invariance and Electromagnetic Fields -- 2. Field Quantization -- 2.1 Second Quantization in Fock
Space -- 2.2 Quantization of the Dirac Field -- 2.3 Discussion of the Commutation Functions -- 2.4 The Scattering Operator (S-Matrix) in Fock Space -- 2.5 Perturbation Theory -- 2.6 Electron Scattering -- 2.7 Pair Production -- 2.8 The
Causal Phase -- 2.9 Non-Perturbative Construction of the Causal Phase -- 2.10 Vacuum Polarization -- 2.11 Quantization of the Radiation Field -- 3. Causal Perturbation Theory -- 3.1 The Method of Epstein and Glaser -- 3.2 Splitting of
Distributions -- 3.3 Application to QED -- 3.4 Electron Scattering (Moeller Scattering) -- 3.5 Electron-Photon Scattering (Compton Scattering) -- 3.6 Vacuum Polarization -- 3.7 Self-Energy -- 3.8 Vertex Function -- 3.9 Form Factors --
3.10 Infrared Cancellations -- 3.11 Symmetry Properties of the S-Matrix -- 3.12 Normalizability of QED -- Appendix: Spence Functions
ISBN:9783662011874
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Keywords: Physics , Quantum physics , Elementary particles (Physics) , Quantum field theory , Quantum computers , Spintronics , Physics , Quantum Physics , Elementary Particles, Quantum Field Theory , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1989-9783642834349:ONLINE Show nearby items on shelf
Title:Beyond the Crystalline State An Emerging Perspective
Author(s): Ganesan Venkataraman
Date:1989
Size:1 online resource (207 p.)
Note:10.1007/978-3-642-83434-9
Contents:1. Introduction -- 2. Variety in Structures -- 2.1 Crystals -- 2.2 Incommensurate and Long-Period Structures -- 2.3 Quasicrystals -- 2.4 Liquid Crystals -- 2.5 Glass -- 2.6 Systems with Quasi Long-Range Order -- 2.7 Overview -- 3.
Order Out of Disorder -- 3.1 Landau Theory -- 3.2 Conjugate Field -- 3.3 Symmetry Breaking: Further Aspects -- 3.4 Goldstone Modes -- 3.5 Generalized Rigidity -- 3.6 Quasi LRO -- 3.7 Overview -- 4. Defects and Topology -- 4.1 Basic
Strategy -- 4.2 Some Basic Concepts of Topology -- 4.3 Continuous Groups and Topological Spaces -- 4.4 The First or the Fundamental Homotopy Group and Defects -- 4.5 Some Examples -- 4.6 Stability -- 4.7 Combination of Defects -- 4.8
Other Homotopy Groups -- 4.9 Ordered Media with Broken Translational Symmetry -- 4.10 Summary -- 5. Structures by Projection -- 5.1 Concerning Tilings -- 5.2 Regular Polytopes -- 5.3 Amorphous Structures from Mappings of Polytopes --
5.4 Line Defects in Amorphous Structures -- 5.5 Disclinations and Frank-Kasper Chains -- 5.6 Mapping from S3 to E3 -- 5.7 Defects and Star Mapping -- 5.8 Mapping by Disclination Procedure -- 5.9 Decoration -- 5.10 Defects in the CRN --
5.11 Amorphous Structures by Projection of Hyperbolic Tilings -- 5.12 Polymers and Polytopes -- 5.13 Quasicrystals by the Projection Method -- 5.14 Generalization -- 5.15 Some Comments on the Projection Method -- 5.16 Miller Indices
for Quasicrystals -- 5.17 Diffraction Patterns of Quasicrystals -- 5.18 Incommensurate Crystals -- 5.19 Summary -- 6. Beyond Simple Geometry -- 6.1 Some Basics -- 6.2 Landau Theory and Ordered Atomic Structures -- 6.3 Orientational
Ordering -- 6.4 Orientational Order Versus Translational Order -- 6.5 Landau Theory and Amorphous Structures -- 6.6 Landau Theory and Liquid Crystals -- 6.7 Hydrodynamics -- 6.8 Fluctuations and the Landau Theory -- 6.9 Frustration and
the Disruption of Order -- 6.10 Defect-Dominated Structures -- 6.11 Overview -- 7. Tilings in One Dimension -- 7.1 Structures and Competing Periodic Potentials -- 7.2 Portrait of the Penrose Chain -- 7.3 Spatial Chaos and Amorphous
Structures -- 7.4 Summary -- 8. Ergodicity Breaking -- 8.1 Basic Ideas -- 8.2 Time Scales and Broken Ergodicity -- 8.3 Broken Ergodicity and Symmetry Breaking -- 8.4 The Spin Glass -- 8.5 The Case of Glass -- 8.6 Generalization -- 9.
Symmetry Breaking — A Second Look -- 9.1 Orbits and Strata in Crystal Physics -- 9.2 Symmetry Breaking and Strata -- 9.3 Isotropy Subgroups of the Euclidean Group E(3) -- 9.4 More About Extensions to E(3) -- 9.5 Patterns in
Nonequilibrium Systems -- 9.6 Cylindrical Crystallography -- Appendix: Special Topics -- A. Hydrodynamics -- A.1 Hydrodynamic Equations -- A.2 Ordered Media with Continuous Broken Symmetries -- A.2.1 Hydrodynamics of a Solid -- A.3 The
Poisson Bracket Method in Hydrodynamics -- A.4 Summary -- B. Curved Space and Parallel Transport of Vectors -- B.1 Parallel Transport of Vectors -- B.2 The Covariant Derivative -- B.3 The Curvature -- B.4 The Torsion -- B.5 Mapping
from Curved Space to Flat Space -- D. Some Aspects of Group Theory -- D.1 Group Morphisms -- D.2 Transformation Group, Group Action and Orbits -- E. A Brief Introduction to Homotopy and Lie Groups -- E.1 Topology -- E.2 Elements of
Homotopy Theory -- E.2.1 The First Homotopy Group -- E.2.2 Higher Homotopy Groups -- E.3 Continuous Groups and Lie Groups -- F. Local Gauge Invariance and Gauge Theories -- F.1 Internal Connection -- F.2 Gauge Field Theory -- F.3 U(1)
Gauge Symmetry -- F.4 Non-Abelian Gauge Groups -- F.5 Gauge Theory of Dislocations and Disclinations -- References -- Author Index
ISBN:9783642834349
Series:eBooks
Series:SpringerLink (Online service)
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Series:Springer Series in Solid-State Sciences: 84
Keywords: Physics , Solid state physics , Crystallography , Physics , Crystallography , Solid State Physics
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Call number:SPRINGER-1989-9781461307976:ONLINE Show nearby items on shelf
Title:Quantum Mechanics of Fundamental Systems 2
Author(s):
Date:1989
Size:1 online resource (328 p.)
Note:10.1007/978-1-4613-0797-6
Contents:1 Anomalous Jacobians and the Vector Anomaly -- 1. Introduction -- 2. The Schwinger Model -- 3. The Method of Fujikawa -- 4. Redefinition of the Jacobian -- 5. Regulated Phase Transformations -- 6. Conclusions and Open Problems --
References -- 2 String Phenomenology -- 1. Introduction -- 2. Gauge Symmetries and Global Symmetries -- 3. Space-Time Supersymmetry in String Theory -- 4. Conclusions -- References -- 3 Open Gauge Algebra and Ghost Unification -- 4
Algebras of the Virasoro, Neveu-Schwarz, and Ramond Types on Genus g Riemann Surfaces -- 1. Introduction -- 2. The Bases -- 3. The Central Extensions -- 4. A String Realization -- 5. Quantization -- 6. The BRST Operator -- References
-- 5 Quantum Groups, Integrable Theories, and Conformed Models -- 6 Small Handles and Auxiliary Fields -- 7 Differential Equations in Moduli Space -- 8 Consistent Quantum Mechanics of Chiral p-Forms -- 1. Introduction -- 2. Chiral
Bosons—Classical Analysis -- 3. Chiral Bosons—Quantum Theory -- 4. Chiral p-Forms -- References -- 9 First and Second Quantized Point Particles of Any Spin -- 1. Introduction -- 2. More on the Extensions of the Mass Shell Algebra -- 3.
Explicit Realizations -- 4. Light-Cone Gauge Quantization -- 5. Dirac Quantization -- 6. BRST Quantization -- 7. Second Quantized Theory -- References -- 10 Strings in Space -- 11 Covariantized Light-Cone String Field Theory -- 1.
Motivation -- 2. Covariantized Light-Cone SFTs: Introduction -- 3. Light-Cone Gauge String Field Theory -- 4. From Light-Cone to Covariant SFT: General Procedure -- 5. Gauge-Fixed BRS-Invariant Action and Physical States -- 6. Another
Gauge-Fixed Action: Siegel’s Original One -- References -- 12 Topology, Superspace, and Anomalies -- 13 Field and String Quantization in Curved Space-Times -- 1. Contextual Background -- 2. Fields in Curved Space -- 3. Strings in
Rindler Space -- 4. Horizon Regularization in Rindler Space—Introduction of the s Parameter -- 5. Analytic Mappings and the Hawking-Unruh Effect in String Theory -- 6. Transformation between the States. Derivation of the Parameter ?
from the Constraint Equations -- 7. Strings near Black Holes -- 8. New Approach to String Quantization in Curved Space Times 226 References -- 14 Symmetries and Anomalies in Fermionic Theories -- 1. Introduction -- 2. Quantization of
Gauge Theories with Weyl Fermions (Or: Are Anomalies Anomalous?) -- 3. Conformal Invariance of the Chiral Gross-Neveu Model -- References -- 15 Differential Algebras in Field Theory -- 1. Introduction -- 2. Yang-Mills Theories and
First Quantized Strings -- 3. The Algebraic Structure of Local Anomalies -- 4. Lessons to Be Drawn -- References -- 16 Supermembrances, Superstrings, and Supergravity -- 1. Introduction -- 2. Nonlinearity. Absence of Weyl Invariance,
and Nonrenormalizability -- 3. Classical GS Superstrings and Classical GS Supermembrances -- 4. Local ? Symmetry -- 5. Rigid World-Sheet SUSY -- References -- 17 Thirring Strings: Use of Generalized Nonabelian Bosonization Techniques
-- 1. Introduction: Conformal Invariant String Theories in a Compactified Space -- 2. Bosonization and Fermionization in Conformally Invariant Two-Dimensional Field Theories -- 3. The Thirring Model and Strings -- 4. Vertices and
String Theory -- 5. Conclusions -- References
ISBN:9781461307976
Series:eBooks
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Keywords: Physics , Nuclear physics , Heavy ions , Hadrons , Atoms , Physics , Atomic, Molecular, Optical and Plasma Physics , Nuclear Physics, Heavy Ions, Hadrons , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1988-9789401578097:ONLINE Show nearby items on shelf
Title:Differential Geometrical Methods in Theoretical Physics
Author(s):
Date:1988
Size:1 online resource (471 p.)
Note:10.1007/978-94-015-7809-7
Contents:The Impact of Physics on Geometry -- The Impact of Physics on Geometry -- Mathematical Contributions -- Weyl’s Program and Modern Physics -- Elliptic Genera of Level N for Complex Manifolds -- The Principle of Triality and A
Distinguished Unitary Representation of SO(4,4) -- On E 10 -- Special Aspects of String Theory -- Operator Methods in String Theory -- On Strings and J.Douglas Variational Principle -- Groupoids and Lie Bigebras in Gauge and String
Theories -- Conformal Invariance and Integrable Systems -- The Definition of Conformal Field Theory -- Statistics and Monodromy in Two- and Three-Dimensional Quantum · Field Theory -- Quantum Groups (YBZF Algebras) and Integrable
Theories: An Overview -- Integrable Systems and Conformal Invariance -- Algebraic Aspects of Non-Perturbative Quantum Field Theories -- Two Classical Domains: — Symplectic Structures in Physics — General Relativity -- The pairing
method and bosonic anomalies -- A Multisymplectic Approach to the KdV Equation -- Singular Points in Level Sets of the Momentum Map and Quantum Theory -- Killing Spinors and Universality of the Hijazi Inequality -- Towards a
Renormalizable Theory of Quantum Gravity -- Gauge Theory for Diffeomorphism Groups -- Quantum Field Theory in Curved Spacetime -- Supersymmetric Structures -- Supertheories -- The Integrability Of N = 16 Supergravity -- Conformal
Invariant Supersymmetric Theories in Four Dimensions: A Practical Application of BRS Cohomology -- Supermanifolds, Supermanifold Cohomology, and Super Vector Bundles -- Representations of Lie Superalgebras an Introduction -- Concluding
Remarks -- Concluding Remarks -- Observations of Two of Our Brightest Stars -- Observations of Two of Our Brightest Stars
ISBN:9789401578097
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 250
Keywords: Mathematics , Geometry , Physics , Elementary particles (Physics) , Quantum field theory , Mathematics , Geometry , Elementary Particles, Quantum Field Theory , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1988-9789400930513:ONLINE Show nearby items on shelf
Title:Special Relativity and Quantum Theory A Collection of Papers on the Poincaré Group
Author(s):
Date:1988
Size:1 online resource (505 p.)
Note:10.1007/978-94-009-3051-3
Contents:I: Perspective View of Quantum Space-Time Symmetries -- 1. Relativistic Invariance and Quantum Phenomena, Rev. Mod. Phys, 29, 255 (1957) -- 2. The Early Years of Relativity, in Albert Einstein: Historical and Cultural Perspectives:
The Centennial Symposium in Jerusalem, edited by G. Holton and Y. Elkana (Princeton Univ. Press, Princeton, New Jersey, 1979) -- II: Representations of the Poincaré Group -- 1. On Unitary Representations of the Inhomogeneous Lorentz
Group, Ann. Math. 40, 149 (1939). -- 2. Group Theoretical Discussion of Relativistic Wave Equations, Proc. Nat. Acad. Sci. (U.S.A.) 34, 211 (1948) -- 3. Unitary Representations of the Lorentz Group, Proc. Roy. Soc. (London)Al83, 284
(1945) -- 4. Feynman Rules for Any Spin, Phys. Rev. 133, B1318 (1964) -- 5. Representations of the Poincaré Group for Relativistic Extended Hadrons, J. Math. Phys. 20, 1341 (1979) -- 6. A Simple Method for Illustrating the Difference
between the Homogeneous and Inhomogeneous Lorentz Groups, Am. J. Phys. 47, 892 (1979) -- III: The Time-Energy Uncertainty Relation -- 1. The Quantum Theory of the Emission and Absorption of Radiation, Proc. Roy. Soc. (London) A114, 243
(1927) -- 2. The Quantum Theory of Dispersion, Proc. Roy. Soc. (London) A114, 710 (1927) -- 3. On the Time-Energy Uncertainty Relation, in Aspects of Quantum Theory, in Honour of P. A. M. Dirac’s 70th Birthday, edited by A. Salam and
E. P. Wigner (Cambridge Univ. Press, London, 1972) -- 4. Time-Energy Uncertainty Relation and Lorentz Covariance, Am. J. Phys. 53, 142 (1985) -- IV: Covariant Picture of Quantum Bound States -- 1. Forms of Relativistic Dynamics, Rev.
Mod. Phys. 27, 392 (1949) -- 2. Quantum Theory of Non-Local Fields. Part I. Free Fields, Phys. Rev. 77, 219 (1950) -- 3. Quantum Theory of Non-Local Fields. Part II. Irreducible Fields and Their Interaction, Phys. Rev. 80, 1047 (1950)
-- 4. Structure and Mass Spectrum of Elementary Particles. I. General Considerations, Phys. Rev. 91, 415 (1953) -- 5. Structure and Mass Spectrum of Elementary Particles. II. Oscillator Model, Phys. Rev. 91, 416 (1953) -- 6. Properties
of the Bethe-Salpeter Wave Functions, Phys. Rev. 96, 1124 (1954) -- 7. Covariant Harmonic Oscillators and the Quark Model, Phys. Rev. D 8, 3521 (1973) -- 8. Orthogonality Relation for Covariant Harmonic- Oscillator Wave Functions,
Phys. Rev. D 10, 4306 (1974) -- 9. Complete Orthogonality Relations for the Covariant Harmonic Oscillator, Phys. Rev. D 23, 3078 (1981) -- 10. Dirac’s Form of Relativistic Quantum Mechanics, Am. J. Phys. 49, 1157 (1981) -- V:
Lorentz-Dirac Deformation in High Energy Physics -- 1. Electron Scattering from the Proton, Phys. Rev. 98, 183 (1955) -- 2. Nucleon Electromagnetic Form Factors at High Momentum Transfers in an Extended Particle Model based on the
Quark Model, Prog. Theor. Phys. 43, 73 (1970) -- 3. The Behavior of Hadron Collisions at Extreme Energies in High Energy Collisions, Proceedings of the Third International Conference, Stony Brook, New York, edited by C. N. Yang et al.
(Gordon and Breach, New York, 1969) -- 4. Inelastic Electron-Proton and ?- Proton Scattering and the Structure of the Nucleon, Phys. Rev. 185, 1975 (1969) -- 5. Covariant Harmonic Oscillators and the Parton Picture, Phys. Rev. D 15,
335 (1977) -- 6. Valons and Harmonic Oscillators, Phys. Rev. D 23, 2781 (1981) -- VI: Massless Particles and Gauge Transformations -- 1. Feynman Rules for Any Spin II. Massless Particles, Phys. Rev. 134, B882 (1964) -- 2. Photons and
Gravitons in S-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass, Phys. Rev. 135, B1049 (1964) -- 3. E(2)-Like Little Group for Massless Particles and Neutrino Polarization as a
Consequence of Gauge Invariance, Phys. Rev. D 26, 3717 (1982) -- VII: Group Contractions -- 1. On the Contraction of Groups and Their Representations, Proc. Nat. Acad. Sci. (U.S.A.) 39, 510 (1953) -- 2. Internal Space-Time Symmetries
of Massive and Massless Particles, Am. J. Phys. 52, 1037 (1984) -- 3. Eulerian Parametrization of Wigner’s Little Groups and Gauge Transformations in Terms of Rotations in Two-Component Spinors, J. Math. Phys. 27, 2228 (1986) -- 4.
Cylindrical Group and Massless Particles, J. Math. Phys. 28, 1175 (1987) -- VIII: Localization Problems -- 1. Localized States for Elementary Systems, Rev. Mod. Phys. 21, 400 (1949) -- 2. On the Localizability of Quantum Mechanical
Systems, Rev. Mod. Phys. 34, 845 (1962) -- 3. Uncertainty Relations for Light Waves and the Concept of Photons, Phys. Rev. A 35, 1682 (1987) -- IX: Lorentz Transformations -- 1. Precession of the Polarization of Particles Moving in a
Homogeneous Electromagnetic Field, Phys. Rev. Lett. 2, 435 (1959) -- 2. Is There a Link Between Gauge Invariance, Relativistic Invariance, and Electron Spin?, Nuovo Cimento 3IB, 1 (1976) -- 3. Special Relativity and Diagonal
Transformations, Am. J. Phys. 38, 218 (1970) -- 4. A Useful Form of the Minkowski Diagram, Am. J. Phys. 38, 1298 (1970) -- 5. SU(2) and SU(1,1) Interferometers, Phys. Rev. A 33, 4033 (1986) -- 6. Thomas Precession, Wigner Rotations and
Gauge Transformations, Class. Quantum Grav. 4, 1777 (1987) -- 7. Linear Canonical Transformations of Coherent and Squeezed States in the Wigner Phase Space, Phys. Rev. A 37, 807 (1988)
ISBN:9789400930513
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 33
Keywords: Mathematics , Group theory , Physics , Quantum physics , Mathematics , Group Theory and Generalizations , Theoretical, Mathematical and Computational Physics , Quantum Physics
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Call number:SPRINGER-1988-9783540459590:ONLINE Show nearby items on shelf
Title:Group Theoretical Methods in Physics Proceedings of the XVI International Colloquium Held at Varna, Bullgaria, June 15–20, 1987
Author(s):
Date:1988
Size:1 online resource (599 p.)
Note:10.1007/BFb0012254
Contents:Horospheres and Twistors -- Spectrally ordered Lie algebras -- Algebraic expressions for classes of generalized 6-j and 9-j symbols for certain Lie groups -- Harmonic analysis on coset spaces -- The mapping class group: Homology and
linearity -- Invariantly ordered spectral lie algebras as abstract dynamical systems -- Realizations of representations of Kac-Moody groups and bilinear equations for ?-functions -- Recent developments in non linear representations and
evolution equations -- New constructions for representations of semisimple lie groups -- Nonrelativistic supersymmetry -- Superfield algebraic structures with Grassmann-valued structure constants -- The non-uniqueness of supertrace --
Cohomological methods in supermanifold theory -- Superalgebras of symmetries in superquantum mechanics -- Supersymmetric quantum mechanics and critical potentials -- Constrained lagrangians in N = 2-superspace formulations for the
constant magnetic field system -- On some graded algebras -- Self-consistency and supersymmetry in a many fermion system -- Essentially irreducible representations of the lie superalgebras sl(n/1) and sl(n/2) -- Octonions without
octonions -- Soliton solutions and bilinear residue formula for the super Kadomtsev-Petviashvili hierarchy -- Indices for plethysms of representations of Lie superalgebras -- Constructions of Lie (super)algebras from triple systems --
Coherent states and quantization on homogeneous spaces -- Relativistic spectrum generating groups: Spectrum and radiative transitions in a collective model for hadrons -- Heisenberg equations of motion for, the Coulomb problem and
so(4.2) -- Degenerate representations from quantum kinematical constraints -- Application of non-bijective transformations to various potentials -- Nonuniqueness of the variational formulation of classical equations of motion and
quantization rules -- About Quadratic Transformations Connected To Hurwitz Transformations -- Geometric quantization of Riemann ellipsoids -- Group-theoretic approach to scattering: The Dirac-Coulomb problem and relativistic
supersymmetry -- On a quantum mechanical d'Alembert principle -- Geometric quantization of the Kepler problem with a magnetic charge -- Lie algebra of a derivative nonlinear Schrödinger equation -- Symmetry and classification of energy
bands in crystals -- Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel -- Chain adaptation of space group representations and induced space group Clebsch-Gordan matrices -- Perturbation of bisemigroups
and transport theory -- Space group representations induced by local site symmetries -- Quasicrystals: A distanced overview -- The time inversion symmetry in case of time translation existing -- Ergodic properties of hard rod systems
-- Reducible space groups -- Colour space groups of all cubic chromomorphic classes and their application -- Auxiliary group approach for group-subgroup related transformation matrices -- A new approach to non-periodic order in solids
-- Group theoretical analysis of the lattice distorsion in anisotropic Superconductivity -- The topological theory of semidefects -- Symmetries in nuclei -- Boson representation of Sp(24, R) and classification of even-even nuclei --
Group Theory of the Symplectic Nuclear Model -- The nuclear collective WSp(6,R) model -- Extension of the interacting boson model: Higher order interactions preserving the dynamical symmetry (The 0(6) limit) -- Classical Yang-Mills
fields with non-compact invariance -- Cartan connections in conformal gauge theories -- The anomaly-flux-index identity and its Euclidean extension -- Quantization of anomalous gauge theories: The chiral Schwinger model -- QED as a
theory of quantized connection forms -- Group-theoretical aspects of dimensional reduction -- Sp(2)-symmetric realization of the ghost spectrum in gauge theories -- The symmetry group of the Euclidean CPn model as the invariance group
of two bilinear formst -- On nets of local algebras on the Minkowski lattice Z4 -- Complex scalar fields in SO(2,1)-Invariant backgrounds: Representation of the symmetries in the schrödinger picture -- Conformally invariant wave
equations on 3+2 de sitter space -- Massless particles in de sitter space -- Covariant lagrangian formulation of interacting heterotic strings -- A generalization of the fourier transform and applications to quantum field theory --
Harmonic representatives of instantons and self-dual monopoles -- Homogeneous space construction of Modular Invariant QFT models with a chiral U(1) current -- Some solutions of the U(N) sigma models -- Fermions and Jordan matrices --
Algebraic and arithmetic geometry in string theory
ISBN:9783540459590
Series:eBooks
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Series:Lecture Notes in Physics: 313
Keywords: Physics , Topological groups , Lie groups , Quantum physics , Quantum computers , Spintronics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Quantum Information Technology, Spintronics , Quantum Physics , Topological Groups, Lie Groups
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Call number:SPRINGER-1988-9781461595229:ONLINE Show nearby items on shelf
Title:The Fundamental Interaction Geometrical Trends
Author(s):
Date:1988
Size:1 online resource (250 p.)
Note:10.1007/978-1-4615-9522-9
Contents:I. Methods in Modern Field Theory -- Differential Forms and Gauge Theories -- Quantization of Constrained Systems -- G-Spaces and Kaluza-Klein Theory -- II. Anomalies -- The Origin and Significance of Chiral and Gravitational
Anomalies -- Gauge Invariance in Spite of Anomalies -- Anomalies in Odd Dimensions -- III. Supertheories -- Supersymmetry in Two Space-Time Dimensions -- Supergravity as a Gauge Theory -- Strings and Superstrings
ISBN:9781461595229
Series:eBooks
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Keywords: Physics , Physics , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1988-9781461310150:ONLINE Show nearby items on shelf
Title:Superstrings
Author(s):
Date:1988
Size:1 online resource (350p p.)
Note:10.1007/978-1-4613-1015-0
Contents:I: Mathematical Techniques -- Modular Invariance and Infine-Dimensional Algebras -- Off-Shell BRST Invariant Superjacobians -- II: String Field Theory -- A Geometry Independent Field Theory of String -- The Gluing Theorem in the
Operator Formulation of String Field Theory -- Conformai Field Theory Methods and Construction of Witten’s Superstring Field Theory -- Gauge Invariance, BRST Invariance, and Ward Identities in String Field Theory -- Closed Strings and
Witten’s String Field Theory -- Geometric String Field Theory: Deriving String Theory from First Principles -- On Higher Order Interactions for Superstrings -- III: String Geometry and Arithmetic -- Kähler Geometry of String Theory --
Numbers and Strings -- IV: Compactification and Phenomenology -- Type II Superstrings in Four Dimensions -- Four-Dimensional Strings -- String Thermodynamics and Cosmology -- Orbifold Compactification toward Standard Model -- V:
Polyakov Strings -- Liouville Strings -- A Polyakov Path Integral with Ghosts -- String Path Integrals for Open or Unoriented World Sheets -- VI: Loops -- Two Loop Partition Function in (Compactified) Heterotic String Vacua -- String
Perturbation Theory and Effective Lagrangians -- VII: Anomalies and Chiral Bosonization -- Chiral Bosonization -- Superstring Anomalies -- Toplogy, Superspace, and Heterotic Gravitational Anomalies -- Anomaly-Free Theories Remain
Anomaly-Free after Compactification with No Isometries -- Many New Anomaly-Free Theories in Higher Dimensions -- VIII: Supermembranes and Other Alternatives -- Supermembranes -- On the Massless Excitations of The 11d Supermembrane --
Highlights of Parastring Theories -- Line Functional Theory for Strings -- Internal Symmetry for Type II Strings in Oscillator Formalism -- Participants
ISBN:9781461310150
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO ASI Series, Series B: Physics: 175
Keywords: Physics , Physics , Physics, general
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Call number:SPRINGER-1987-9781461309130:ONLINE Show nearby items on shelf
Title:Super Field Theories
Author(s):
Date:1987
Size:1 online resource (598 p.)
Note:10.1007/978-1-4613-0913-0
Contents:Light-Cone Physics L. Brink -- Supergravity -- Vacuum Stability in Kaluza-Klein Theories -- Lectures on Non-Linear Sigma-Models and Strings -- Torus Compactification of the Bosonic String and their Superstring Content -- Hidden
Symmetry of Two-Dimensional Sigma-Model Defined on Symmetric Coset Space K.C Chou -- Representations of the Two-Dimensional Conformal Group -- Recent Developments in the Path Integral Approach to Anomalies -- Representations of
Kac-Moody and Virasoro Algebras -- Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E8) -- Four-Loop Sigma-Model Beta-Functions versus a’3 Corrections to Superstring
Effective Actions -- Modular Invariance and Finiteness of Five-Point Closed Superstrings -- Some Topics in Low-Energy Physics from Superstrings -- Yukawa Couplings Between (2,1)-Forms -- The Polyakov Approach and Divergences in Open
Superstrings -- On the Evaluation of Superstring Anomalies -- On the Covariant Quantization of Anomalous Gauge Theories -- Quantum Adiabatic Phases and Chiral Gauge Anomalies -- Preregularization and the Ambiguity Structure of the
Jacobian for Chiral Symmetry Transformations -- Operator Regularization -- An Analytic Regularization for Supersymmetry Anomalies -- Non-Symmetric Coset Spaces with Torsion – Alternative Compactification of 10-d Superstrings -- Direct
Compactification of Heterotic Strings, Modular Invariance and Three Families of Chiral Fermions -- Superstring Compactification on S6 with Torsion -- Superstring Cosmology at Late Times and Time Variation of Fundamental Coupling
Constants -- The Ground State of Stringy Gravity -- The Functional Measure in Quantum Field Theory -- Vilkovisky’s Unique Effective Action: An Introduction and Explicit Calculation -- Gauge and Parametrization Dependence in
Kaluza-Klein Theory -- New Algebraic Canonical Structures of Integrability in 2-D Field Theories -- B.R.S. Algebra and Anomalies -- BRST Current Algebra Derivation of the Higher Cocycles -- Superconformal Algebras -- Supermanifolds and
Super Riemann Surfaces -- Non-Linear Realization of Heavy Fermions -- Supersymmetry Breaking in R x S3 -- Participants
ISBN:9781461309130
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO Science Series, Series B: Physics: 160
Keywords: Physics , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-1986-9781468473261:ONLINE Show nearby items on shelf
Title:Renormalized Supersymmetry The Perturbation Theory of N = 1 Supersymmetric Theories in Flat Space-Time
Author(s): Olivier Piguet
Date:1986
Size:1 online resource (348 p.)
Note:10.1007/978-1-4684-7326-1
Contents:I The Supersymmetry Algebra and its Representation of Fields -- Sect. 1 The supersymmetry algebra, superspace, superfields -- Sect. 2 The superconformai algebra -- II Specific Models in the Tree Approximation -- Sect. 3 Chiral models
-- Sect. 4 Abelian gauge models -- Sect. 5 Non-abelian gauge models -- Sect. 6 Supercurrents -- III Perturbation Theory in Superspace -- Sect. 7 A simple example -- Sect. 8 Feynman rules and power counting -- Sect. 9 The subtraction
scheme -- Sect. 10 Normal products -- Sect. 11 The action principle -- Sect. 12 Symmetric operators -- IV Renormalization: Hard Anomalies -- Sect. 13 Rigid symmetries -- Sect. 14 Abelian gauge invariance -- Sect. 15 Non-Abelian gauge
invariance -- Sect. 16 Renormalized Supercurrents -- V Renormalization: Soft Anomalies -- Sect. 17 Mass generation—the O’Raifeartaigh model -- Sect. 18 The off-shell infrared problem in SYM -- Appendix A Notations, conventions and
useful formulae -- Appendix B Generating functionals -- Appendix D Symmetric insertions and differential operators -- Appendix E Solution of some superfield constraints -- References
ISBN:9781468473261
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Physics : 12
Keywords: Physics , Approximation theory , Gravitation , Physics , Classical and Quantum Gravitation, Relativity Theory , Approximations and Expansions
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