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Call number: | 9789462392434:ONLINE Show nearby items on shelf |
Title: | Astroparticle Physics: Theory and Phenomenology |
Author(s): |
Günter Sigl |
Date: | 2017 |
Size: | 1 online resource (XXXIV, 861 p. 90 illus., 71 illus. in color p.) |
Contents: | 1.Electroweak Interactions and Neutrinos -- 2.The Fundamental Gauge Interactions and Their Description -- 3.The Universe between Today and First Light -- 4.The Early Universe before First Light -- 5.Detection Techniques and |
Experimental Results -- 6.Cosmic Ray Sources and Acceleration -- 7.Cosmic Ray Propagation -- 8.Electromagnetic Radiation in Astrophysics -- 9.High Energy Extraterrestrial Neutrino Fluxes and Their Detection -- 10.Neutrino Properties -- | |
11.Neutrino Oscillations -- 12.Neutrino Properties and their Role in Astrophysics and Cosmology -- 13.Weak Gravitational Fields and Gravitational Waves -- 14.Dark Matter -- 15.New Light and Heavy Matter States and Their Role in | |
Astrophysics and Cosmology -- 16.Violation of Fundamental Symmetries | |
ISBN: | 9789462392434 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Astrophysics , Cosmology , Plasma (Ionized gases) , Physics , Astrophysics and Astroparticles , Cosmology , Plasma Physics , Theoretical, Mathematical and Computational Physics |
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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: | 9783319441658:ONLINE Show nearby items on shelf |
Title: | New Horizons in Fundamental Physics |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (IX, 389 p. 134 illus., 95 illus. in color p.) |
Contents: | Part I Nuclear Structure and Superheavy Elements: Intertwining of Greiner's Theoretical Works and our Experimental Studies (J.H. Hamilton et al.) -- Eighty years of research on super-heavy nuclei (S. Hofmann) -- Perspectives of heavy |
and superheavy nuclei research (A.V. Karpov et al.) -- Superheavy Element Chemistry - New experimental results challenge theoretical understanding (R. Eichler) -- 25 Years of FRS Experiments and New Horizons (H. Geissel et al.) -- SHE | |
Research with Rare-Isotope Beams, Challenges and Perspectives, and the new Generation of SHE Factories (G. Münzenberg et al.) -- Multi-modal Collinear Ternary Fission (W. von Oertzen et al.) -- From the stable to the exotic: clustering | |
in light nuclei (C. Beck) -- Towards Laser Spectroscopy of Superheavy Elements (H. Backe) -- Part II Physics of Heavy-Ion Collisions: Chemical freeze-out conditions in hadron resonance gas (V. Vovchenko et al.) -- The QCD Phase Diagram | |
and Hadron Formation in Relativistic Nuclear Collisions (F. Becattini et al.) -- Degrees of Freedom of the Quark Gluon Plasma, tested by Heavy Mesons (H. Berrehrah et al.) -- Electromagnetic emissivity of hot and dense matter (E.L. | |
Bratkovskaya at al.) -- Heavy-Ion Collisions: Status of Chemical Equilibrium (J. Cleymans) -- Novel developments of HYDJET++ model for ultra-relativistic heavy-ion collisions (L. Bravina et al.) -- Jet tomography in heavy-ion | |
collisions-Challenges, Results, and Open Problems (B. Betz) -- Part III QED - Strong Fields and High Precision: Probing QED Vacuum with Heavy Ions (J. Rafelski et al.) -- Laser assisted Breit-Wheeler and Schwinger processes (T. Nousch | |
et al.) -- A method to measure vacuum birefringence at FCC-ee (U.I. Uggerhoj et al.) -- Unifying Quantum Electro-Dynamics and Many-Body Perturbation Theory (I. Lindgren et al.) -- Part IV Astrophysics: Simulations of accretion disks | |
around massive stars (M. Algalán et al.).-Neutron Stars-Possibilities and Limits for Exotic Phases (S. Schramm et al.) -- The Case for an Underground Neutrino Facility in South Africa (Z.Z. Vilakazia et al.) -- Part IV Special topics: | |
Covariant Hamiltonian representation of Noether's theorem and its application to SU(N) gauge theories (J. Struckmeier et al.) -- Infrastructure Estimates for a Highly Renewable Global Electricity Grid (M. Dahl et al.) -- Power flow | |
tracing in complex networks (M. Schäfer et al.) -- Patent protection of high-level research results (T. J. Bürvenich) | |
ISBN: | 9783319441658 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Astrophysics , Nuclear physics , Heavy ions , Hadrons , Atoms , Matter , Physics , Nuclear Physics, Heavy Ions, Hadrons , Atoms and Molecules in Strong Fields, Laser Matter Interaction , Applications of Graph Theory and Complex Networks , Astrophysics and Astroparticles |
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Call number: | 9783319297347:ONLINE Show nearby items on shelf |
Title: | Geometrodynamics of Gauge Fields On the Geometry of Yang-Mills and Gravitational Gauge Theories |
Author(s): |
Eckehard W Mielke |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XVII, 373 p. 18 illus., 8 illus. in color p.) |
Contents: | Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang’s theory of gravity -- 8 BRST |
quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color | |
Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups | |
ISBN: | 9783319297347 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mathematical physics , Gravitation , Elementary particles (Physics) , Quantum field theory , Physics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Physics , Elementary Particles, Quantum Field Theory |
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Location: | ONLINE |
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: | 9780849387760:ONLINE Show nearby items on shelf |
Title: | Gauge theories in particle physics [electronic resource] : a practical introduction. Vol. 2, Non-Abelian gauge theories : QCD and the electroweak theory |
Author(s): |
Ian Johnston Rhind Aitchison |
Date: | 2004 |
Edition: | 3rd ed. |
Publisher: | Bristol : Institute of Physics Pub. |
Size: | 1 online resource (454 p.) |
Contents: | pt. 5. Non-abelian symmetries -- pt. 6. QCD and the renormalization group -- pt. 7. Spontaneously broken symmetry -- pt. 8. Weak interactions and the electroweak theory. |
ISBN: | 9780849387760 |
Series: | CRCnetBase eBook platform |
Series: | Graduate student series in physics |
Series: | eBooks single |
Keywords: | Gauge fields (Physics) , Particles (Nuclear physics) , Weak interactions (Nuclear physics) , Quantum electrodynamics , Feynman diagrams |
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Call number: | 9780849387753:ONLINE Show nearby items on shelf |
Title: | Gauge theories in particle physics [electronic resource] : a practical introduction. Vol. 1, From relativistic quantum mechanics to QED |
Author(s): |
Ian Johnston Rhind Aitchison Anthony J.G. Hey |
Date: | 2003 |
Edition: | 3rd ed. |
Publisher: | Bristol : Institute of Physics Pub |
Size: | 1 online resource (406 p.) |
Note: | Previous ed.: 1989 |
Contents: | pt. 1. Introductory survey, electromagnetism as a gauge theory, and relativistic quantum mechanics -- pt. 2. Introduction to quantum field theory -- pt. 3. Tree-level applications in QED -- pt. 4. Loops and renormalization |
ISBN: | 0750308648 |
Series: | CRCnetBASE eBook platform |
Series: | Graduate student series in physics |
Series: | eBooks single |
Keywords: | Gauge fields (Physics) , Particles (Nuclear physics) , Weak interactions (Nuclear physics) , Quantum electrodynamics. , Feynman diagrams. |
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Location: | ONLINE |
Call number: | 729240::ONLINE Show nearby items on shelf |
Title: | An Introduction To Quantum Field Theory [electronic resource]. |
Author(s): |
Michael E. Peskin |
Date: | 1995 |
Publisher: | New York : Westview Press |
Size: | 1 online resource (864 p.) |
ISBN: | 9780201503975 |
Series: | EBL eBook |
Series: | eBooks |
Keywords: | Physics. , Quantum field theory. , Feynman diagrams. , Renormalization (Physics) , Gauge fields (Physics) |
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Call number: | 0655:ONLINE Show nearby items on shelf |
Title: | The physics of massive neutrinos [electronic resource] |
Author(s): |
Boris Kayser Franoise Gibrat-Debu Frdric Perrier |
Date: | 1989 |
Publisher: | Teaneck, NJ : World Scientific |
Size: | 1 online resource (117 p.) |
Note: | World Scientific eBook Platform |
Note: | Unlimited concurrent users |
Contents: | .Introduction, Phenomenology of Massive Neutrinos, Physics of Massive Neutral Leptons, Processes with Majorana Fields, Neutrino Masses in Gauge Theories, Conclusion, Solutions to Exercises |
ISBN: | 9971506610 |
Series: | World Scientific lecture notes in physics, v. 25 |
Series: | eBooks Single |
Keywords: | Neutrinos. , Quantum field theory. , Neutrinos. |
Availability: | Click here
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Call number: | SPRINGER-2016-9783319319339:ONLINE Show nearby items on shelf |
Title: | Basics of Thermal Field Theory A Tutorial on Perturbative Computations |
Author(s): |
Mikko Laine |
Date: | 2016 |
Size: | 1 online resource (10 p.) |
Note: | 10.1007/978-3-319-31933-9 |
Contents: | Preface -- Notation -- General Outline -- Quantum Mechanics -- Free Scalar Fields.-Interacting Scalar Fields -- Fermions -- Gauge Fields -- Low-Energy Effective Field Theories -- Finite Density -- Real-Time Observables -- Applications |
-- Index | |
ISBN: | 9783319319339 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 925 |
Keywords: | Physics , Mathematical physics , Thermodynamics , Cosmology , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Thermodynamics , Cosmology , Mathematical Physics , Mathematical Methods in Physics |
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Call number: | SPRINGER-2016-9783319259017:ONLINE Show nearby items on shelf |
Title: | Perturbative Algebraic Quantum Field Theory An Introduction for Mathematicians |
Author(s): |
Kasia Rejzner |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (180 p.) |
Note: | 10.1007/978-3-319-25901-7 |
Contents: | Introduction -- Algebraic approach to quantum theory -- Algebraic quantum mechanics -- Causality -- Haag-Kastler axioms -- pAQFT axioms -- LCQFT -- Kinematical structure -- The space of field configurations -- Functionals on the |
configuration space -- Fermionic field configurations -- Vector fields -- Functorial interpretation -- Classical theory -- Dynamics -- Natural Lagrangians -- Homological characterization of the solution space -- The net of topological | |
Poisson algabras -- Analogy with classical mechanics -- Deformation quantization -- Star products -- The star product on the space of multivector fields -- Kähler structure -- Interaction -- Outline of the approach -- Scatering matrix | |
and time ordered products -- Renormalization group -- Interacting local nets -- Explicit construction -- Gauge theories -- Classical gauge theory -- Gauge-fixing -- BV formalism -- Effective quantum gravity -- From LCQFT to quantum | |
gravity -- Dynamics and symmetries -- Linearized theory -- Quantization -- Relational observables -- Background independence | |
ISBN: | 9783319259017 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Algebra , Field theory (Physics) , Mathematical physics , Quantum field theory , String theory , Physics , Quantum Field Theories, String Theory , Mathematical Physics , Field Theory and Polynomials |
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Call number: | SPRINGER-2016-9783319258294:ONLINE Show nearby items on shelf |
Title: | Artificial Gauge Fields with Ultracold Atoms in Optical Lattices |
Author(s): |
Monika Aidelsburger |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (2 p.) |
Note: | 10.1007/978-3-319-25829-4 |
Contents: | Introduction -- Square Lattice with Magnetic field -- Artificial Gauge Fields with Laser-Assisted Tunneling -- Overview of the Experimental Setup and Measurement Techniques -- Staggered Magnetic Flux -- Harper-Hofstadter Model and |
Spin Hall Effect -- All-Optical Setup for Flux Rectification -- Chern-Number Measurement of Hofstadter Bands -- Conclusions and Outlook | |
ISBN: | 9783319258294 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Phase transformations (Statistical physics) , Condensed materials , Condensed matter , Low temperature physics , Low temperatures , Quantum computers , Spintronics , Physics , Quantum Gases and Condensates , Low Temperature Physics , Quantum Information Technology, Spintronics |
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Call number: | SPRINGER-2014-9783319061306:ONLINE Show nearby items on shelf |
Title: | An Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions [electronic resource] |
Author(s): |
Carlo M Becchi Giovanni Ridolfi |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | These lectures are meant to be a reference and handbook for an introductory course in Theoretical Particle Physics, suitable for advanced undergraduates or beginning graduate students. Their purpose is to reconcile theoreticalrigour and completeness with a careful analysis of more phenomenological aspects of the physics. They aim at filling the gap between quantum field theory textbooks and purely phenomenological treatments of fundamental interactions. Thefirst part provides an introduction to scatt ering in relativistic quantum field theory. Thanks to an original approach to relativistic processes, the relevant computational techniques are derived cleanly and simply in thesemi-classical approximation. The second part contains a detailed presentation of the gauge theory of electroweak interactions with particular focus to the processes of greatest phenomenological interest. The main novelties of thepresent second edition are a more complete discussion of relativistic scattering theory and an expansio n of the study of the corrections to the semi-classical approximation, including important processes in LHC physics. The extensionof the standard model to include neutrino masses and oscillations is also discussed, and updated with new results |
Contents: | Introduction |
Relativistic field theory | |
Scattering theory | |
Feynman | |
Spinor fields | |
Gauge symmetries | |
The standard model | |
Spontaneous breaking of the gauge symmetry | |
Breaking of accidental symmetries | |
Summary | |
Applications | |
Neutrino masses and mixing | |
A. Large | |
time evolution of the free field | |
B. Scattering from an external density | |
C. Dirac matrices | |
D. Violation of unitarity in the Fermi theory | |
References | |
ISBN: | 9783319061306 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT for Physics, 2198-7882 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2014-9783319045641:ONLINE Show nearby items on shelf |
Title: | Towards the Mathematics of Quantum Field Theory [electronic resource] |
Author(s): |
Frdric Paugam |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of themathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primarytarget. This reference work provides a coheren t and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The firstpart of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory ofnon-linear partial differential equations, with applications to general gauge theories. The s econd part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the thirdpart provides an introduction to quantum field theory, presents various renormalization methods, and discusses the q uantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particulargraduate students) who would like to learn about the mathematics of quantum field theory |
Contents: | Introduction |
Mathematical Preliminaries | |
Classical Trajectories and Fields | |
Quantum Trajectories and Fields | |
Appendices | |
ISBN: | 9783319045641 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v59 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Algebraic topology |
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Call number: | SPRINGER-2013-9783642375699:ONLINE Show nearby items on shelf |
Title: | Physics of Quantum Fluids [electronic resource] : New Trends and Hot Topics in Atomic and Polariton Condensates |
Author(s): |
Alberto Bramati Michele Modugno |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The study of quantum fluids, stimulated by the discovery of superfluidity in liquid helium, has experienced renewed interest after the observation of Bose-Einstein condensation (BEC) in ultra-cold atomic gases and the observationa new type of quantum fluid with specific characteristics derived from its intrinsic out-of-equilibrium nature. The main objective of this book is to take a snapshot of the state-of-the-art of this fast moving field with a specialemphasis on the hot topics and new trends. Bri nging together the most active specialists of the two areas (atomic and polaritonic quantum fluids), we expect that this book will facilitate the exchange and the collaboration betweenthese two communities working on subjects with very strong analogies |
Note: | Springer eBooks |
Contents: | From the Content: Atomic condensates |
Turbulence in atomic Bose | |
Einstein condensates | |
Superfluidity in toroidal waveguides | |
Sonic Black holes and Hawking radiation in BECs | |
Fermions | |
Dissipative transport with disorder | |
Anderson localization of non | |
interacting matter waves | |
Two dimensional Bose fluids | |
Ultracold atoms in synthetic magnetic fields | |
Two dimensional Bose gases in optical lattices | |
Fermi gases in optical lattices with non | |
Abelian gauge fields | |
Polariton quantum fluids theory | |
Resonantly pumped polariton condensates | |
Non resonantly pumped polariton condens | |
ISBN: | 9783642375699 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Solid-State Sciences, 0171-1873 : v177 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Materials |
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Call number: | SPRINGER-2013-9783642331053:ONLINE Show nearby items on shelf |
Title: | Statistical Approach to Quantum Field Theory [electronic resource] : An Introduction |
Author(s): |
Andreas Wipf |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean fieldtheories as particular sys tems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures. Accordingly, the first chapters of this bookcontain a self-contained introduction to path in tegrals in Euclidean quantum mechanics and statistical mechanics. The resulting high-dimensional integrals can be estimated with the help of Monte Carlo simulations based on Markovprocesses. The most commonly used algorithms are presented in detail so as to prepare the reader for the use of high-performance computers as an experimental tool for this burgeoning field of theoretical physics. Several chaptersare then devoted to an introduction to simple lattice field theories and a variety of spin systems wi th discrete and continuous spins, where the ubiquitous Ising model serves as an ideal guide for introducing the fascinating area ofphase transitions. As an alternative to the lattice formulation of quantum field theories, variants of the flexible renormal ization group methods are discussed in detail. Since, according to our present-day knowledge, all fundamentalinteractions in nature are described by gauge theories, the remaining chapters of the book deal with gauge theories without and with matter. This text is based on course-tested notes for graduate students and, as such, its style isessentially pedagogical, requiring only some basics of mathematics, statistical physics, and quantum field theory. Yet it also contains some more sophisticated concepts w hich may be useful to researchers in the field. Each chapter endswith a number of problems guiding the reader to a deeper understanding of some of the material presented in the main text a |
Note: | Springer eBooks |
Contents: | Introduction |
Path Integrals in Quantum and Statistical Mechanics | |
High | |
Dimensional Integrals | |
Monte | |
Carlo Simulations in Quantum Mechanics | |
Scalar Fields at Zero and Finite Temperature | |
Classical Spin Models: An Introduction | |
Mean Field Approximation | |
Transfer Matrices, Correlation Inequalities and Roots of Partition Functions | |
High | |
Temperature and Low | |
Temperature Expansions | |
Peierls Argument and Duality Transformations | |
Renormalization Group on the Lattice | |
Functional Renormalization Group | |
Lattice Gauge Theories | |
Two | |
dimensional Lattice Gauge Theories and Group Int | |
ISBN: | 9783642331053 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v864 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Quantum theory |
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Call number: | SPRINGER-2012-9783642273209:ONLINE Show nearby items on shelf |
Title: | Renormalization Group and Effective Field Theory Approaches to Many-Body Systems [electronic resource] |
Author(s): |
Achim Schwenk Janos Polonyi |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | There have been many recent and important developments based on effective field theory and the renormalization group in atomic, condensed matter, nuclear and high-energy physics. These powerful and versatile methods provide novelapproaches to study c omplex and strongly interacting many-body systems in a controlled manner. The six extensive lectures gathered in this volume combine selected introductory and interdisciplinary presentations focused on recentapplications of effective field theory and the renormalization group to many-body problems in such diverse fields as BEC, DFT, extreme matter, Fermi-liquid theory and gauge theories. Primarily aimed at graduate students andjunior researchers, they offer an opportunity to explore fundamental physics ac ross subfield boundaries at an early stage in their careers |
Note: | Springer eBooks |
Contents: | An Introduction to the Nonperturbative Renormalization Group |
Nonperturbative Renormalization Group and Bose | |
Einstein Condensation | |
Introduction to the Functional RG and Applications to Gauge Theories | |
EFT for DFT | |
Effective Theories of Dense and Very Dense Matter | |
Renormalization Group and Fermi Liquid Theory for Many | |
Nucleon Systems | |
ISBN: | 9783642273209 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v852 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Nuclear physics |
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Call number: | SPRINGER-2012-9783642259470:ONLINE Show nearby items on shelf |
Title: | Strings and Fundamental Physics [electronic resource] |
Author(s): |
Marco Baumgartl Ilka Brunner Michael Haack |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | The basic idea, simple and revolutionary at the same time, to replace the concept of a point particle with a one-dimensional string, has opened up a whole new field of research. Even today, four decades later, its multifacetedconsequences are still n ot fully conceivable. Up to now string theory has offered a new way to viewparticles as different excitations of the same fundamental object.It has celebrated success in discovering the graviton in itsspectrum, and it has naturally led scientists to posit space-times with more than four dimensionswhich in turn has triggered numerous interesting developments in fields as varied as condensed matter physics and pure mathematics.This book collects pedagogical lectures by leading experts in string theory, intr oducing the non-specialist reader to some of the newest developments in the field. The carefully selected topics are at the cutting edge of research instring theory and include new developments in topological strings,AdS/CFT dualities, as well as newly em erging subfields such as doubled field theory and holography in the hydrodynamic regime. The contributions to this book have beenselected and arranged in such a way as to form a self-contained, graduate level textbook |
Note: | Springer eBooks |
Contents: | String Theory 101 |
D | |
branes and Orientifolds | |
Introduction to Gauge/Gravity Duality | |
Holography for Strongly Coupled Media | |
Quantum Black Holes | |
Lectures on Topological String Theory | |
Doubled Field Theory, T | |
duality and Courant | |
brackets | |
ISBN: | 9783642259470 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v851 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics |
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Call number: | SPRINGER-2012-9783642237287:ONLINE Show nearby items on shelf |
Title: | An Invitation to Quantum Field Theory [electronic resource] |
Author(s): |
Luis Alvarez-Gaum Miguel A Vzquez-Mozo |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | This book provides an introduction to Quantum Field Theory (QFT) at an elementary levelwith only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based onnumerous lectures and cours es given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, thediscussion of the main ideas being more importa nt than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries inparticle physics: global and local symmetries, explicit, spontaneously broke n, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak andelectromagnetic interactions and the current understanding of the origin of mass, the text enumerates the gen eral features of renormalization theory as well as providing a cursory description of effective field theories and the problemof naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of thistext is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of t his successful theoretical framework |
Note: | Springer eBooks |
Contents: | Why Do We Need Quantum Field Theory After All? |
From Classical to Quantum Fields | |
Theories and Lagrangian I: Matter Fields | |
Theories and Lagrangian II: Introducing Gauge Fields | |
Theories and Lagrangian II: The Standard Model | |
Towards Computational Rules: Feynman Diagrams | |
Symmetries I: Continuous Symmetries | |
Renormalization | |
Anomalies | |
The Origin of Mass | |
Symmetries II: Discrete Symmetries | |
Effective Field Theories and Naturalness | |
Special Topics | |
Notation, Conventions and Units | |
A Crash Course in Group Theory | |
Index | |
ISBN: | 9783642237287 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v839 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2012-9783642202414:ONLINE Show nearby items on shelf |
Title: | Electroweak and Strong Interactions [electronic resource] : Phenomenology, Concepts, Models |
Author(s): |
Florian Scheck |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Electroweak and Strong Interaction: Phenomenology, Concepts, Models, begins with relativistic quantum mechanics and some quantum field theory which lay the foundation for the rest of the text. The phenomenology and the physics ofthe fundamental inter actions are emphasized through a detailed discussion of the empirical fundamentals of unified theories of strong, electromagnetic, and weak interactions. The principles of local gauge theories are described both ina heuristic and a geometric framework. Th e minimal standard model of the fundamental interactions is developed in detail and characteristic applications are worked out. Possible signals of physics beyond that model, notably in thephysics of neutrinos are also discussed. Among the applications sc attering on nucleons and on nuclei provide salient examples. Numerous exercises with solutions make the text suitable for advanced courses or individual study. Thiscompletely updated revised new edition contains an enlarged chapter on quantum chromodynami cs and a widely updated chapter on neutrino physics |
Note: | Springer eBooks |
Contents: | Fermion Fields and their Properties |
Electromagnetic Processes and Interactions | |
Weak Interactions and the Standard Model of Strong and Electroweak Interactions | |
Beyond the Minimal Standard Model | |
Scattering of Strongly Interacting Particles on Nuclei | |
Hadronic Atoms | |
Quantum Chromodynamics | |
Neutrino Physics | |
Appendix A. Lorentz Invariant Distributions | |
Appendix B. S | |
Matrix, Cross Sections, Decay Probabilities | |
Appendix C1. Some Feynman Rules for Quantum Electrodynamics of Spin | |
1/2 Particles f+ | |
Appendix C2. Traces. Appendix D. The Group SU(3) | |
Appendix E. Dirac Equati | |
ISBN: | 9783642202414 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2012-9781441980779:ONLINE Show nearby items on shelf |
Title: | Advanced Quantum Mechanics [electronic resource] : Materials and Photons |
Author(s): |
Rainer Dick |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Advanced Quantum Mechanics: Materials and Photons is a textbook which emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, orscattering. Important aspe cts of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. The textbook can therefore be used for advancedundergraduate courses and introductory graduate courses whi ch are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject asaccessible as possible, Appendices A and B also provide introductions to Lagrangian mecha nics and the covariant formulation of electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrateddiscussion of transition amplitudes with discrete or continuous initial or final states. Once students have a cquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy.Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of transition probabilities, decay rates, a bsorption cross sections and scattering cross sections, which are important for all experimentaltechniques that use photon probes. Quantization is first discussed for the Schrdinger field before the relativistic Maxwell, Klein-Gordon and Dirac fields are quantized. Quantized Schrdinger field theory is not only important forcondensed matter physics and materials science, but also provides the easiest avenue to general field quantization and is therefore also useful for students with an interest in nuclear and particle physics. The quantization of theMaxwell field is performed in Coulomb gauge. This is the appropriate and practically most useful quantization procedure in condensed matter physics, chem |
Note: | Springer eBooks |
Contents: | The Need for Quantum Mechanics |
Self | |
adjoint Operators and Eigenfunction Expansions | |
Simple Model Systems | |
Notions from Linear Algebra and Bra | |
ket Formalism | |
Formal Developments | |
Harmonic Oscillators and Coherent States | |
Central Forces in Quantum Mechanics | |
Spin and Addition of Angular Momentum Type Operators | |
Stationary Perturbations in Quantum Mechanics | |
Quantum Aspects of Materials I | |
Scattering Off Potentials | |
The Density of States | |
Time | |
Dependent Perturbations in Quantum Mechanics | |
Path Integrals in Quantum Mechanics | |
Coupling to Electromagnetic Fields | |
Princ | |
ISBN: | 9781441980779 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Optical materials , Nanotechnology |
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Call number: | SPRINGER-2011-9783642147005:ONLINE Show nearby items on shelf |
Title: | Topology and Geometry for Physics [electronic resource] |
Author(s): |
Helmut Eschrig |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts aresystematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points,as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physicsand gravitation |
Note: | Springer eBooks |
Contents: | Introduction |
Topology | |
Manifolds | |
Tensor Fields | |
Integration, Homology and Cohomology | |
Lie Groups | |
Bundles and Connections | |
Parallelism, Holonomy, Homotopy and (Co)homology | |
Riemannian Geometry | |
Compendium | |
ISBN: | 9783642147005 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, Volume 822, 0075-8450 : v822 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics |
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Call number: | SPRINGER-2011-9783642143823:ONLINE Show nearby items on shelf |
Title: | An Introduction to the Confinement Problem [electronic resource] |
Author(s): |
Jeff Greensite |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book addresses the confinement problem, which quite generally deals with the behavior of non-abelian gauge theories, and the force which is mediated by gauge fields, at large distances.The word confinement in thecontext of hadronic physics origi nally referred to the fact that quarks and gluons appear to be trapped inside mesons and baryons, from which they cannot escape. There are other, and possibly deeper meanings that can be attached to theterm, and these will be explored in this book. Althou gh the confinement problem is far from solved, much is now known about the general features of the confining force, and there are a number of very well motivated theories ofconfinement which are under active investigation. This volume gives a both pedagog ical and concise introduction and overview of the main ideas in this field, their attractive features, and, as appropriate, their shortcomings |
Note: | Springer eBooks |
Contents: | Introduction |
Global Symmetry, Local Symmetry, and the Lattice | |
What is Confinement? | |
Order Parameters for Confinement | |
Properties of the Confining Force | |
Confinement From Center Vortices I | |
Monopoles, Calorons, and Dual Superconductivity | |
Coulomb Confinement | |
Ghosts, Gluons, and Dyson | |
Schwinger Equations | |
Large | |
N, Planar Diagrams, and the Gluon | |
Chain Model | |
The Vacuum Wavefunctional | |
Anti | |
deSitter Space and Confinement | |
Concluding Remarks | |
Index | |
ISBN: | 9783642143823 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v821 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Nuclear physics , Quantum theory |
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Call number: | SPRINGER-2011-9781441982735:ONLINE Show nearby items on shelf |
Title: | Geometry of the Fundamental Interactions [electronic resource] : On Riemann's Legacy to High Energy Physics and Cosmology |
Author(s): |
M. D Maia |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Gravitation, electromagnetics and the two types of nuclear forces constitute the four fundamental forces of nature which regulate our everyday life. Amazingly, they are all described by a single idea of the 19th century proposedby Bernhard Riemann, a nd with the exception ofgravitation, these ideas have been since confirmed by high energy experiments and cosmological observations. Geometry of the Fundamental Interactions - On Riemann's Legacy to HighEnergy Physics and Cosmology is a mathematical narra tive of how we have come to agree on such a complex plot of nature, starting with the basic geometrical concepts and ending with hints on the perspective for cosmology. This bookoriginated from lectures given for several years to a mixed audience of mathe maticians, physicists, astronomers, engineers, philosophers and sociologists seeking to understand the basics of those interactions and how the concept ofRiemann curvature came to occupy such a central position in physics. The author takes on the challeng e of making the path toward understanding both accessible and interesting to a wide audience |
Note: | Springer eBooks |
Contents: | The Fundamental Interactions |
The Physical Manifold | |
Symmetry | |
The Algebra of Observables | |
Geometry of Space | |
Times | |
Scalar Fields | |
Vector, Tensor, and Spinor Fields | |
Noether's Theorem | |
Bundles and Connections | |
Gauge Field Theory | |
Gravitation | |
ISBN: | 9781441982735 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Field theory (Physics) , Geometry , Quantum theory |
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Call number: | SPRINGER-2011-9781441981790:ONLINE Show nearby items on shelf |
Title: | Quantum Phase Transitions in Cold Atoms and Low Temperature Solids [electronic resource] |
Author(s): |
Kaden Richard Alan Hazzard |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The primary focus of this thesis is to theoreticallydescribe nanokelvin experiments in cold atomic gases, which offer the potential to revolutionize our understanding of strongly correlated many-body systems. The thesisattacks major challenges of the field: it proposes and analyzes experimental protocols to create new and interesting states of matter and introduces theoretical techniques to describe probes of these states. The phenomenaconsidered include the fractional quantum Hall effect, spectrosco py of strongly correlated states, and quantum criticality, among others. The thesis also clarifies experiments on disordered quantum solids, which display a variety ofexotic phenomena and are candidates to exhibit so-called supersolidity. It collects expe rimental results and constrains their interpretation through theoretical considerations. This Doctoral Thesis has been accepted by CornellUniversity, Ithaca, USA |
Note: | Springer eBooks |
Contents: | Introduction to many |
body physics in ultracold atomic gases | |
Theoretical and experimental techniques used to explore many | |
body physics in cold atoms, especially optical lattices | |
Radio | |
frequency spectroscopy: broad introduction | |
RF spectra: a sum rule approach to trapped bosons in an optical lattice | |
RF spectra: multiple peaked spectrum in a homogeneous system | |
Radio | |
frequency spectra at finite temperature, fluctuation response relations, and proposed applications | |
RF spectra: summary, conclusions, and the future | |
Rotation, inducing gauge fields, and exotic states of matter in co | |
ISBN: | 9781441981790 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Theses |
Series: | Physics and Astronomy (Springer-11651) |
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Call number: | SPRINGER-2011-9781441978950:ONLINE Show nearby items on shelf |
Title: | Topology, Geometry and Gauge fields [electronic resource] : Interactions |
Author(s): |
Gregory L Naber |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their sharednotion of a gauge fiel d. The text begins with a synopsis of the geometrical background assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a numberof the most basic of the classical gauge theor ies arising in physics, including classical electromagnetic theory and Dirac monopoles, the Klein-Gordon and Dirac equations and SU(2) Yang-Mills-Higgs theory. The real purpose here is towitness such things as spacetime manifolds, spinor structures, de Rh am cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With theprecise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of aspinor structure in the form of the second Stiefel-Whitney class. This second edition of the book includes, in an Append ix, a much expanded sketch of Seiberg-Witten gauge theory, including a brief discussion of its origins in physicsand its implications for topology. To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at whichit can be solved with optimal benefit. Reviews of first edition: Nabers goal is not to teach a sterile course on geometry and topology, but rather to enable us to see the subject in action, through gauge theory. (SIAM Review)The presentation is enriched by detailed discussions about the physical interpretations of connections, their curvature |
Note: | Springer eBooks |
Contents: | Preface |
Acknowledgements | |
Geometrical Background | |
Physical Motivation | |
Frame Bundles and Spacetime | |
Differential Forms and Integration Introduction | |
de Rham Cohomology Introduction | |
Characteristic Classes | |
Appendix | |
References | |
Symbols | |
Index | |
ISBN: | 9781441978950 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v141 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Geometry |
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Call number: | SPRINGER-2011-9781441972545:ONLINE Show nearby items on shelf |
Title: | Topology, Geometry and Gauge fields [electronic resource] : Foundations |
Author(s): |
Gregory L Naber |
Date: | 2011 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
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Note: | This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The authors point of view is that the rekindled interest that mathematics andphysics have shown in ea ch other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The goal is to weave together rudimentary notions from the classical gauge theories of physics and thetopological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementarypronouncements of quantum mechanics, and a solid background in real analy sis and linear algebra with some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topologicalspace and finds its way eventually to the moduli space of anti-self-dual SU(2)-connections on S4 w ith instanton number -1. This second edition of the book includes a new chapter on singular homology theory and a new appendix outliningDonaldsons beautiful application of gauge theory to the topology of compact, simply connected , smooth 4-manifolds with definite intersection form. Reviews of the first edition: It is unusual to find a book so carefully tailoredto the needs of this interdisciplinary area of mathematical physicsNaber combines a deep knowledge of his subject with an excellent informal writi ng style. (NZMS Newsletter) ...this book should be very interesting formathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (ZENTRALBLATT FUER MATHEMATIK) The book is well written and the examples do a great s ervice to the reader. It will be a helpfulcompanion to anyone teaching or studying gauge theory (Mathematical Reviews) |
Note: | Springer eBooks |
Contents: | Contents: Preface |
Physical and geometrical motivation 1 Topological spaces | |
Homotopy groups | |
Principal bundles | |
Differentiable manifolds and matrix Lie groups | |
Gauge fields and Instantons. Appendix. References. Index | |
ISBN: | 9781441972545 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Texts in Applied Mathematics, 0939-2475 : v25 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Topology , 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 |
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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-2010-9780817646349:ONLINE Show nearby items on shelf |
Title: | Modern Differential Geometry in Gauge Theories [electronic resource] : YangMills Fields, Volume II |
Author(s): |
Anastasios Mallios |
Date: | 2010 |
Edition: | 1 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the authors perspective is used in this work to describe physical theories of a geometriccharacter without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles,based on arbitrary topological spaces, this uniq ue approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume researchmonograph that systematically applies a sheaf-theoretic approach to s uch physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulatedand used thereafter to describe elementary particles, electromagnetism, and geometric prequa ntization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, thissheaf-theoretic approach is applied to YangMills fields in general. The text contains a wealth of detailed and ri gorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduatestudents, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity |
Note: | Springer eBooks |
Contents: | YangMills Theory:General Theory |
Abstract YangMills Theory | |
Moduli Spaces of | |
Connections of YangMills Fields | |
Geometry of YangMills | |
Connections | |
General Relativity | |
General Relativity, as a Gauge Theory. Singularities | |
ISBN: | 9780817646349 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Field theory (Physics) , Global analysis , Global differential geometry , Mathematical physics , Quantum theory |
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Call number: | SPRINGER-2009-9783764387365:ONLINE Show nearby items on shelf |
Title: | Quantum Field Theory [electronic resource] : Competitive Models |
Author(s): |
Bertfried Fauser Jrgen Tolksdorf Eberhard Zeidler |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | For more than 70 years, quantum field theory (QFT) can be seen as a driving force in the development of theoretical physics. Equally fascinating is the fruitful impact which QFT had in rather remote areas of mathematics. Thepresent book features some of the different approaches, different physically viewpoints and techniques used to make the notion of quantum field theory more precise. For example, the present book contains a discussion including generalconsiderations, stochastic methods, deformation theory and the holographic AdS/CFT correspondence. It also contains a discussion of more recent developments like the use of category theory and topos theoretic methods to describe QFT.The present volume emerged from the 3rd 'Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions arecommitted to the idea of this workshop series: 'To bring together outstanding experts worki ng in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics' |
Note: | Springer eBooks |
Contents: | Constructive Use of Holographic Projections |
Topos Theory and Neo | |
Realist Quantum Theory | |
A Survey on Mathematical Feynman Path Integrals: Construction, Asymptotics, Applications | |
A Comment on the Infra | |
Red Problem in the AdS/CFT Correspondence | |
Some Steps Towards Noncommutative Mirror Symmetry on the Torus | |
Wittens Volume Formula, Cohomological Pairings of Moduli Space of Flat Connections and Applications of Multiple Zeta Functions | |
Noncommutative Field Theories from a Deformation Point of View | |
Renormalization of Gauge Fields using Hopf Algebras | |
Not so Non | |
Renormali | |
ISBN: | 9783764387365 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2009-9783540699217:ONLINE Show nearby items on shelf |
Title: | Noncovariant Gauges in Canonical Formalism [electronic resource] |
Author(s): |
Andr Burnel |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | By definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics. The unphysical degrees of freedom must be shown not to yieldunwarranted effects at ev ery step in the formalism where explicit Lorentz covariance is required. The present work presents, in a rigorous way, a consistent formulation for the handling of noncovariant gauges in the quantization andrenormalization of gauge theories. Though the pa th integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the canonical formalism is eventually necessary to expose the issues in aself-consistent way. These notes are written as an introduction to postgradu ate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory |
Note: | Springer eBooks |
Contents: | Canonical Quantization for Constrained Systems |
Quantization of the Free Electromagnetic Field in General Class III Linear Gauges | |
Quantization of the Free Electromagnetic Field in Class II Axial Gauges | |
Gauge Fields in Interaction | |
Perturbation Theory: Renormalization and All That | |
Slavnov | |
Taylor Identities for Yang | |
Mills Theory | |
Field Theory Without Infinities | |
Gauges with a Singular C Matrix | |
Conclusion | |
ISBN: | 9783540699217 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v761 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematical physics , Quantum theory |
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Call number: | SPRINGER-2009-9783540691433:ONLINE Show nearby items on shelf |
Title: | Progress in Ultrafast Intense Laser Science [electronic resource] |
Author(s): |
Kaoru Yamanouchi Andreas Becker Ruxin Li See Leang Chin |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | The PUILS series presents Progress in Ultrafast Intense Laser Science, a newly emerging interdisciplinary research field spanning atomic and molecular physics, molecular science, and optical science. PUILS has been stimulated bythe recent development of ultrafast laser technologies. Each volume contains approximately 15 chapters, authored by researchers at the forefront. Each chapter opens with an overview of the topics to be discussed, so that researchers,who are not experts in the specific topics, as well as graduate students can grasp the importance and attractions of this sub-field of research, and these are followed by reports of cutting-edge discoveries. This fourth volume covers abroad range of topics from this interdisciplinary research field , focusing on strong field ionization of atoms excitation, ionization and fragmentation of molecules nonlinear intense optical phenomena and attosecond pulses and laser- solid interactions and photoemission |
Note: | Springer eBooks |
Contents: | 1. A gauge |
invariant theory of intense | |
field Coulomb approximations to all orders | |
2. Strong | |
field photoionization by few | |
cycle laser pulses | |
3. Wavepacket Dynamics of Molecules in Intense Laser Fields | |
4. Molecular ion beams interrogated with ultrashort intense laser pulses | |
5. Dynamical Reaction Theory for Vibrationally Highly Excited Molecules | |
6. Relativistic quantum dynamics in intense laser fields | |
7. Attosecond scale multi | |
XUV | |
photon processes | |
8. Ultrashort pulse collapse in quadratic media | |
9. Femtosecond laser induced various luminescent phenomena in solid materials | |
ISBN: | 9783540691433 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Chemical Physics, 0172-6218 : v91 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Plasma (Ionized gases) , Laser physics , Spectrum analysis , Physical optics |
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Call number: | SPRINGER-2009-9783540680307:ONLINE Show nearby items on shelf |
Title: | Homological Mirror Symmetry [electronic resource] : New Developments and Perspectives |
Author(s): |
Karl-Georg Schlesinger Maximilian Kreuzer Anton Kapustin |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | Homological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years. The present volume bridges a gap inthe literature by pro viding a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives. With contributions by K. Fukaya, M. Herbst, K. Hori, M. Huang, A.Kapustin, L. Katzarkov, A. Klemm, M. Konts evich, D. Page, S. Quackenbush, E. Sharpe, P. Seidel, I. Smith and Y. Soibelman, this volume will be a reference on the topic for everyone starting to work or actively working on mathematicalaspects of quantum field theory |
Note: | Springer eBooks |
Contents: | The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint |
B | |
Type D | |
Branes in Toric CalabiYau Varieties | |
Topological String Theory on Compact CalabiYau: Modularity and Boundary Conditions | |
Gauge Theory, Mirror Symmetry, and the Geometric Langlands Program | |
Homological Mirror Symmetry and Algebraic Cycles | |
Notes on A | |
Algebras, A | |
Categories and Non | |
Commutative Geometry | |
On Non | |
Commutative Analytic Spaces Over Non | |
Archimedean Fields | |
Derived Categories and Stacks in Physics | |
ISBN: | 9783540680307 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v757 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Algebra , Mathematical physics |
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Call number: | SPRINGER-2008-9783540769569:ONLINE Show nearby items on shelf |
Title: | Mathematical Theory of Feynman Path Integrals [electronic resource] : An Introduction |
Author(s): |
Sergio A Albeverio Raphael J Hegh-Krohn Sonia Mazzucchi |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation,cosmology. Recently ideas bas ed on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis andgeometry, and number theory. The 2nd edition of LNM 523 i s based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments since then, an entire newchapter on the current forefront of research has been added. Except for this new ch apter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapterthe reader will also find notes with further bibliographical information |
Note: | Springer eBooks |
Contents: | Preface to the second edition |
Preface to the first edition | |
1.Introduction | |
2.The Fresnel Integral of Functions on a Separable Real Hilbert Spa | |
3.The Feynman Path Integral in Potential Scattering | |
4.The Fresnel Integral Relative to a Non | |
singular Quadratic Form | |
5.Feynman Path Integrals for the Anharmonic Oscillator | |
6.Expectations with Respect to the Ground State of the Harmonic Oscillator | |
7.Expectations with Respect to the Gibbs State of the Harmonic Oscillator | |
8.The Invariant Quasi | |
free States | |
9.The Feynman Hystory Integral for the Relativistic Quantum Boson Field | |
ISBN: | 9783540769569 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v523 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Global analysis , Operator theory , Distribution (Probability theory) , Quantum theory |
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Call number: | SPRINGER-2007-9783764374341:ONLINE Show nearby items on shelf |
Title: | Rigorous Quantum Field Theory [electronic resource] : A Festschrift for Jacques Bros |
Author(s): |
Anne Boutet Monvel Detlef Buchholz Daniel Iagolnitzer Ugo Moschella |
Date: | 2007 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
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Note: | Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. This book arose from an international symposium held in honour of Jacques Bros on theoccasion of his 70th birthda y, at the Department of Theoretical Physics of the CEA in Saclay, France. The impact of the work of Jacques Bros is evident in several articles in this book. Quantum fields are regarded as genuinemathematical objects, whose various properties and relevant physical interpretations must be studied in a well-defined mathematical framework. The key topics in this volume include analytic structures of Quantum Field Theory (QFT),renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime. Contributors: D. Bahns, M. Bertola, R. Brunetti, D.Buchholz, A. Connes, F. Corbetta, S. Doplicher, M. Dubois-Violette, M. Dtsch, H. Epstein, C.J. Fewster, K. Fredenhagen, C. Grard, D. Iagolnitzer, C.D. Jkel, C. Kopper, G. Lechner, G. Morchio, U. Moschella, J. Mund, H. Narnhofer,G. Piacitelli, K.-H. Rehren, P.L. Ribeiro, V. Rivasseau, J.E. Roberts, B. Schroer, O. Steinmann, F. Strocchi, G.A. Viano, F. Vigne s-Tourneret |
Note: | Springer eBooks |
Contents: | Local Counterterms on the Noncommutative Minkowski Space |
Massless Scalar Field in a Two | |
dimensional de Sitter Universe | |
Locally Covariant Quantum Field Theories | |
Asymptotic Abelianness and Braided Tensor C* | |
Categories | |
Yang | |
Mills and Some Related Algebras | |
Remarks on the Anti | |
de Sitter Space | |
Time | |
Quantum Energy Inequalities and Stability Conditions in Quantum Field Theory | |
Action Ward Identity and the Stckelberg | |
Petermann Renormalization Group | |
On the Relativistic KMS Condition for the P()2 Model | |
The Analyticity Program in Axiomatic Quantum Field Theory | |
Renormalizat | |
ISBN: | 9783764374341 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematics : v251 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Mathematical physics |
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Title: | Introduction to the Classical Theory of Particles and Fields [electronic resource] |
Author(s): |
Boris Pavlovich Kosyakov |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
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Note: | This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowskispacetime. Particular a ttention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems. Twotheories covered by the book in great detail are the Maxwell-Lorentz electrodynamics and Yang-Mills-Wong theory |
Note: | Springer eBooks |
Contents: | Geometry of Minkowski Space |
Relativistic Mechanics | |
Electromagnetic Field | |
Solutions to Maxwell's Equations | |
Lagrangian Formalism in Electrodynamics | |
Self | |
Interaction in Electrodynamics | |
Lagrangian Formalism for Gauge Theories | |
Solutions to the Yang | |
Mills Equations | |
Self | |
Interaction in Gauge Theories | |
Generalizations | |
Mathematical Appendices | |
ISBN: | 9783540409342 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Relativity (Physics) , Particles (Nuclear physics) , Electromagnetism |
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Call number: | SPRINGER-2006-9788847004214:ONLINE Show nearby items on shelf |
Title: | An introduction to relativistic processes and the standard model of electroweak interactions [electronic resource] |
Author(s): |
Carlo M Becchi Giovanni Ridolfi |
Date: | 2006 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
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Note: | These notes are designed as a guide-line for a course in Elementary Particle Physics for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the theoretical framework and of thephenomenological aspects of th e physics of interactions among fundamental constituents of matter. The first part of the volume is devoted to the description of scattering processes in the context of relativistic quantum field theory.The use of the semi-classical approximation allows u s to illustrate the relevant computation techniques in a reasonably small amount of space. Our approach to relativistic processes is original in many respects. The second partcontains a detailed description of the construction of the standard model of ele ctroweak interactions, with special attention to the mechanism of particle mass generation. The extension of the standard model to include neutrino massesis also described. We have included a number of detailed computations of cross sections and decay rat es of pedagogical and phenomenological relevance |
Note: | Springer eBooks |
Contents: | Introduction |
Relativistic field theory | |
Scattering theory | |
Feynman diagrams | |
Spinor fields | |
Gauge symmetries | |
The standard model | |
Spontaneous breaking of the gauge symmetry | |
Breaking of accidental symmetries | |
Summary | |
Applications | |
Neutrino masses and mixings | |
ISBN: | 9788847004214 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2006-9780817644741:ONLINE Show nearby items on shelf |
Title: | Modern Differential Geometry in Gauge Theories [electronic resource] : Maxwell Fields, Volume I |
Author(s): |
Anastasios Mallios |
Date: | 2006 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
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Note: | Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the authors perspective is used in this work to describe physical theories of a geometriccharacter without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles,based on arbitrary topological spaces, this uniq ue approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume researchmonograph that systematically applies a sheaf-theoretic approach to s uch physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulatedand used thereafter to describe elementary particles, electromagnetism, and geometric prequa ntization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, thissheaf-theoretic approach is applied to YangMills fields in general. The text contains a wealth of detailed and ri gorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduatestudents, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity |
Note: | Springer eBooks |
Contents: | Maxwell Fields: General Theory |
The Rudiments of Abstract Differential Geometry | |
Elementary Particles: Sheaf | |
Theoretic Classification, by Spin | |
Structure, According to Selesnicks Correspondence Principle | |
Electromagnetism | |
Cohomological Classification of Maxwell and Hermitian Maxwell Fields | |
Geometric Prequantization | |
ISBN: | 9780817644741 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Field theory (Physics) , Global analysis , Global differential geometry , Mathematical physics , Quantum theory , Electrodynamics |
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Call number: | SPRINGER-2006-9780387346441:ONLINE Show nearby items on shelf |
Title: | Operational Quantum Theory II [electronic resource] : Relativistic Structures |
Author(s): |
Heinrich Saller |
Date: | 2006 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
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Note: | Operational Quantum Theory II is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of the objects as thesecondary focus is r eversed with the operational interactions as basic quantum structures. Quantum theory, specifically relativistic quantum field theory is developed the theory of Lie group and Lie algebra operations acting on bothfinite and infinite dimensional vector spac es. This book deals with the operational concepts of relativistic space time, the Lorentz and Poincar group operations and their unitary representations, particularly the elementaryarticles. Also discussed are eigenvalues and invariants for non-compact op erations in general as well as the harmonic analysis of noncompact nonabelian Lie groups and their homogeneous spaces. In addition to the operational formulationof the standard model of particle interactions, an attempt is made to understand the particle spectrum with the masses and coupling constants as the invariants and normalizations of a tangent representation structure of a anhomogeneous space time model. Operational Quantum Theory II aims to understand more deeply on an operational basis what one i s working with in relativistic quantum field theory, but also suggests new solutions to previously unsolvedproblems |
Note: | Springer eBooks |
Contents: | Lorentz Symmetry |
Spacetime as Unitary Operation Classes | |
Propagators | |
Massive Particle Quantum Fields | |
Massless Quantum Fields | |
Gauge Interations | |
Harmonic Analysis | |
Residual Spacetime Representations | |
Spectrum of Spacetime | |
ISBN: | 9780387346441 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operational Physics |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Topological Groups , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2005-9783540315322:ONLINE Show nearby items on shelf |
Title: | Topology and Geometry in Physics [electronic resource] |
Author(s): |
Eike Bick Frank Daniel Steffen |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered anadvanced textbook on moder n applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gaugetheories, BRST quantization, chiral anomalies, super symmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material |
Note: | Springer eBooks |
Contents: | Introduction and Overview (E. Bick, F.D. Steffen) |
Topological Concepts in Gauge Theories (F. Lenz) | |
Aspects of BRST Quantization (J.W. van Holten) | |
Chiral Anomalies and Toplogy (J. Zinn | |
Justin) | |
Supersymmetric Solitons and Topology (M. Shifman) | |
Forces From Connes`Geometry (T. Schcker) | |
ISBN: | 9783540315322 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v659 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Global differential geometry , Mathematical physics |
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Call number: | SPRINGER-2005-9783540315186:ONLINE Show nearby items on shelf |
Title: | Elements of Numerical Relativity [electronic resource] |
Author(s): |
Carles Bona Carlos Palenzuela-Luque |
Date: | 2005 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field ofresearch over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This bookcan be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity developscoherent guidelines for the reliable and convenient selection of each o f the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applicationsproposed in this book can be performed on a standard PC |
Note: | Springer eBooks |
Contents: | The Four |
Dimensional Spacetime | |
The Evolution Formalism | |
Free Evolution | |
First Order Hyperbolic Systems | |
Boundary Conditions | |
Black Hole Simulations | |
References | |
Index | |
ISBN: | 9783540315186 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v673 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Computer science , Mathematical physics , Relativity (Physics) |
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Call number: | SPRINGER-2005-9780387250984:ONLINE Show nearby items on shelf |
Title: | Quantum Field Theory [electronic resource] : A Modern Perspective |
Author(s): |
V Parameswaran Nair |
Date: | 2005 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | Quantum field theory, which started with Paul Diracs work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate andwell-tested predictions, an d the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, includingsuperconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case canbe made that quantum field theory is the mathematical and intellectua l framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity. Quantum Field Theory: A Modern Perspectivepresents Professor Nairs view of certain topics in field theory loosely knit together as it gre w out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters,up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a f ew nuances of presentation which readers may find to be different from other books. This first part of the book canbe used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and section s 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments overthe last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is neces sarily brief and should be accompanied by books on the relevantmathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understa |
Note: | Springer eBooks |
Contents: | Results in Relativistic Quantum Mechanics |
The Construction of Fields | |
Canonical Quantization | |
Commutators and Propagators | |
Interactions and the S | |
Matrix | |
The Electromagnetic Field | |
Examples of Scattering Processes | |
Functional Integral Representations | |
Renormalization | |
Gauge Theories | |
Symmetry | |
Spontaneous Symmetry Breaking | |
Anamolies I | |
Elements of Differential Geometry | |
Path Integrals | |
Gauge Theory: Configuration Space | |
Anamolies II | |
Finite Temperatire and Density | |
Gauge Theory: Nonperturbative Questions | |
Elements of Geometric Quantization | |
Appendix: R | |
ISBN: | 9780387250984 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Contemporary Physics, 0938-037X |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Field theory (Physics) , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2004-9783642187971:ONLINE Show nearby items on shelf |
Title: | Path Integrals in Field Theory An Introduction |
Author(s): |
Ulrich Mosel |
Date: | 2004 |
Size: | 1 online resource (213 p.) |
Note: | 10.1007/978-3-642-18797-1 |
Contents: | I Non-Relativistic Quantum Theory -- 1 The Path Integral in Quantum Theory -- 2 Perturbation Theory -- 3 Generating Functionals -- II Relativistic Quantum Field Theory -- 4 Relativistic Fields -- 5 Path Integrals for Scalar Fields -- |
6 Evaluation of Path Integrals -- 7 Transition Rates and Green’s Functions -- 8 Green’s Functions -- 9 Perturbative ?4 Theory -- 10 Green’s Functions for Fermions -- 11 Interacting Fields -- III Gauge Field Theory -- 12 Path Integrals | |
for QED -- 13 Path Integrals for Gauge Fields -- 14 Examples for Gauge Field Theories -- Units and Metric -- A.1 Units -- A.2 Metric and Notation -- Functionals -- B.1 Definition -- B.2 Functional Integration -- B.2.1 Gaussian | |
Integrals -- B.3 Functional Derivatives -- Renormalization Integrals -- Gaussian Grassmann Integration -- References | |
ISBN: | 9783642187971 |
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-2004-9783034879538:ONLINE Show nearby items on shelf |
Title: | The Einstein Equations and the Large Scale Behavior of Gravitational Fields 50 Years of the Cauchy Problem in General Relativity |
Author(s): | |
Date: | 2004 |
Size: | 1 online resource (485 p.) |
Note: | 10.1007/978-3-0348-7953-8 |
Contents: | The Constraint Equations -- The Penrose Inequality -- The Global Existence Problem in General Relativity -- Smoothness at Null Infinity and the Structure of Initial Data -- Status Quo and Open Problems in the Numerical Construction of |
Spacetimes -- The Einstein-Vlasov System -- Future Complete U(1) Symmetric Einsteinian Spacetimes, the Unpolarized Case -- Future Complete Vacuum Spacetimes -- The Cauchy Problem on Spacetimes That Are Not Globally Hyperbolic -- | |
Cheeger-Gromov Theory and Applications to General Relativity -- Null Geometry and the Einstein Equations -- Group Actions on Lorentz Spaces, Mathematical Aspects:A Survey -- Gauge, Diffeomorphisms, Initial-Value Formulation, Etc | |
ISBN: | 9783034879538 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Gravitation , Physics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Methods in Physics |
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Call number: | SPRINGER-2003-9789401723848:ONLINE Show nearby items on shelf |
Title: | Natural and Gauge Natural Formalism for Classical Field Theorie A Geometric Perspective including Spinors and Gauge Theories |
Author(s): |
Lorenzo Fatibene |
Date: | 2003 |
Size: | 1 online resource (365 p.) |
Note: | 10.1007/978-94-017-2384-8 |
Contents: | I The Geometric Setting Introduction -- 1. Fiber Bundles -- 2. Jet Bundles -- 3. Principal Bundles and Connections -- 4. Natural Bundles -- 5. Gauge Natural Bundles -- II The Variational Structure of Field Theories Introduction -- 6. |
The Lagrangian Formalism -- 7. Natural Theories -- 8. Gauge Natural Theories -- III Spinor Fields Introduction -- 9. Spin Structures and Spin Frames -- 10. Spinor Theories -- Final Word -- References -- Analitic Index | |
ISBN: | 9789401723848 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Applied mathematics , Engineering mathematics , Differential geometry , Mechanics , Physics , Theoretical, Mathematical and Computational Physics , Applications of Mathematics , Differential Geometry , Mechanics |
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Call number: | SPRINGER-2003-9783540369738:ONLINE Show nearby items on shelf |
Title: | Current Trends in Relativistic Astrophysics Theoretical, Numerical, Observational |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (244 p.) |
Note: | 10.1007/3-540-36973-2 |
Contents: | Relativistic Astrophysics -- Relativistic Astrophysics -- Black Holes:Theory, Evolution, Accretion and Stability -- Black Hole Thermodynamics -- Perturbations of Black Holes -- Critical Phenomena in Gravitational Collapse: The Role of |
Angular Momentum -- Numerical and Perturbative Analysis of Astrophysical Processes -- Stellar Perturbations -- Numerical Relativistic Hydrodynamics -- Flux Limiter Methods in 3D Numerical Relativity -- Gauge Conditions for Long-Term | |
Numerical Black Hole Evolution With or Without Excision -- Numerical Relativity with the Conformal Field Equations -- Gravitational Waves:Production and Detection -- Binary Black Holes and Gravitational Wave Production: Post-Newtonian | |
Analytic Treatment -- The Detection of Gravitational Waves -- Other Topics -- Structure of Conformal Lorentz Transformations -- Circularity Conditions on Stationary Axisymmetric Einstein-Yang-Mills Fields -- The Shortest Cut in Brane | |
Cosmology -- Weak Energy Condition Violation and Superluminal Travel -- Factor Structure of Rational Vacuum Metrics and a Generalization of the Tomimatsu-Sato Solutions -- An Anisotropic Cosmological Model with Isotropic Background | |
Radiation -- Lorentzian Comments on Stokes Parameters -- Causal Transformations -- TELEPENSOUTH Project: Measurement of the Earth Gravitomagnetic Field in a Terrestrial Laboratory -- Supermassive Stars with Local Anisotropy, Possible | |
Source of Some Quasars’ Luminosity? -- On Modifications of the Einstein—Straus Model to Anisotropic Settings | |
ISBN: | 9783540369738 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 617 |
Keywords: | Physics , Astronomy , Astrophysics , Cosmology , Physics , Astronomy, Astrophysics and Cosmology , Theoretical, Mathematical and Computational Physics |
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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-2002-9781461200673:ONLINE Show nearby items on shelf |
Title: | Geometric Analysis and Applications to Quantum Field Theory |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (207 p.) |
Note: | 10.1007/978-1-4612-0067-3 |
Contents: | Semiclassical Approximation in Chern—Simons Gauge Theory -- The Knizhnik—Zamolodchikov Equations -- Loop Groups and Quantum Fields -- Some Applications of Variational Calculus in Hermitian Geometry -- Monopoles -- Grornov—Witten |
Invariants and Quantum Cohomology -- The Geometry and Physics of the Seiberg—Witten Equations | |
ISBN: | 9781461200673 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematics : 205 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Geometry , Physics , Mathematics , Geometry , Analysis , Applications of Mathematics , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2002-9780306480522:ONLINE Show nearby items on shelf |
Title: | Gravitation and Cosmology: From the Hubble Radius to the Planck Scale Proceedings of a Symposium in Honour of the 80th Birthday of Jean-Pierre Vigier |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (540 p.) |
Note: | 10.1007/0-306-48052-2 |
Contents: | Astrophysics & Cosmology -- From the Cosmological Term to the Planck Constant -- Creation of Matter and Anomalous Redshifts -- The Origin of CMBR as Intrinsic Blackbody Cavity-QED Resonance Inherent in the Dynamics of the Continuous |
State Topology of the Dirac Vacuum -- Some New Results in Theoretical Cosmology -- Whitehead Meets Feynman and the Big Bang -- Developing the Cosmology of A Continuous State Universe -- The Problem of Observation in Cosmology and the | |
Big Bang -- Absorber Theory of Radiation in Expanding Universes -- Bohm & Vigier: Ideas as A Basis for A Fractal Universe -- A Random Walk in A Flat Universe -- Multiple Scattering Theory in Wolf’s Mechanism and Implications in QSO | |
Redshift -- Connections Between Thermodynamics, Statostocal Mechanics, Quantum Mechanics, and Special Astrophysical Processes -- Extended Electromagnetic Theory -- New Developments in Electromagnetic Field Theory -- Comparison of Near | |
and Far Field Double-Slit Interferometry for Dispersion of the Photon Wavepacket -- Photon Diameter Measurements -- What is the Evans-Vigier Field? -- Non-Abelian Gauge Groups for Real and Complex Amended Maxwell’s Equations -- | |
Experimental Evidence of Near-Field Superluminally Propagating Electromagnetic Fields -- The Photon Spin and other Topological Features of Classical Electromagnetism -- The Process of Photon Emission from Atomic Hydrogen -- Holographic | |
Mind - Overview: The Integration of Seer, Seeing, and Seen -- Photons from the Future -- Gravitation Theory -- Can one Unify Gravity and Electromagnetic Fields? -- The Dipolar Zero-Modes of Einstein Action -- Theoretical and | |
Experimental Progress on the Gem (Gravity-Electro-Magnetism) Theory of Field Unification -- Can Gravity be Included in Grand Unification? -- Gravitational Energy-Momentum in the Tetrad and Quadratic Spinor Representations of General | |
Relativity -- Spinors in Affine Theory of Gravity -- A New Approach to Quantum Gravity -- Multidimensional Gravity and Cosmology and Problems of G -- Quantum Gravity Operators and Nascent Cosmologies -- Ravitational Magnetism: An | |
Update -- Quantum Theory -- Quantum Hall Enigmas -- On The Possible Existence of Tight Bound States in Quantum Mechanics -- A Chaotic-Stochastic Model of an Atom -- Syncronization Versus Simultaneity Relations, with Implications for | |
Interpretations of Quantum Measurements -- Can Non-Local Interferometry Experiments Reveal A Local Model of Matter? -- Beyond Heisenberg’S Uncertainty Limits -- Towards A Classical Re-Interpretation of the Schrodinger Equation | |
According to Stochastic Electrodynamics -- The Philosophy of the Trajectory Representation of Quantum Mechanics -- Some Physical and Philosophical Problems of Causality in the Interpretation of Quantum Mechanics -- The Force c4/G, the | |
Power c5/G and the Basic Equations of Quantum Mechanics -- Progress in Post-Quantum Physics and Unified Field Theory -- Vacuum Dynamics & Spacetime -- Polarizable-Vacuum Approach to General Relativity -- The Inertia Reaction Force and | |
Its Vacuum Origin -- Engineering the Vacuum -- The Photon as a Charge-Neutral and Mass-Neutral Comosite Particle -- Pregeometry Via Uniform Spaces -- A Zpf-Mediated Cosmological Origin of Electron Inertia -- Vacuum Radiation, Entropy | |
and the Arrow Of Time -- Quaternions, Torsion and the Physical Vacuum: Theories of M. Sachs and G. Shipov Compared -- Homoloidal Webs, Space Cremona Transformations and the Dimensionality and Signature of Macro-Spacetime -- Pulse | |
Interaction in Nonlinear Vacuum Electrodynamics -- Proposal for Teleportation by Help of Vacuum Holes -- Cosmology, the Quantum Universe, and Electron Spin -- On Some Implications of the Local Theory Th(?) and of Popper’Sexperiment | |
ISBN: | 9780306480522 |
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 : 126 |
Keywords: | Physics , Gravitation , Astrophysics , Physics , Astrophysics and Astroparticles , Theoretical, Mathematical and Computational Physics , Classical and Quantum Gravitation, Relativity Theory |
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Call number: | SPRINGER-2001-9789401008525:ONLINE Show nearby items on shelf |
Title: | Progress in String Theory and M-Theory |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (417 p.) |
Note: | 10.1007/978-94-010-0852-5 |
Contents: | Lectures -- Scales of String/M Theory -- On the Heterotic/F-Theory Duality in Eight Dimensions -- Large N Field Theories, String Theory and Gravity -- Black Holes and the Phases of Brane Thermodynamics -- Non-BPS-D-Brane Systems -- |
Non-BPS States and Branes in String Theory -- Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces -- Brane Theory Solitons -- Gong Show -- D-Branestrahlung -- Strings on BTZ Black Holes -- A Note on | |
non-supersymmetric Open-String Orbifolds with a quantised Bab -- On the Non-Abelian Born-Infeld Action -- AdS3 asymptotic (super) Symmetries -- Anomalous couplings of Non-BPS D-Branes -- Fron a Conformal Anomaly to a Theory of | |
Tensionless Strings? -- Comments on non-supersymmetric type I vacua -- S-Matrices for Planckian Scattering -- K-Theory and D-Branes on NON-Commutative Rori -- Generalized Calibrations -- Aspects of Heterotic/M-Theory Duality in D=3 -- | |
Gauge Theory scattering from the ADS/CFT correspondence -- Flat Connections for Yang-Mills Theories on the 3-Torus -- From Topological Field Theories to Covariant Matrix Strings -- Field Theory Duals from (Non)-Crital Type 0 Strings -- | |
Duality and Selfduality of Chiral Boson Fields in various Dimensions -- Anti-de Sitter Fragmentation -- On ADS3 String Theory -- Spectrum of D=11 Supergravity on ADS2 × S2 × T7 -- Discrete U-duality groups -- Supersymmetric Worldvolume | |
Solitons -- WZ Couplings of D-Branes and O-Planes -- Holography for Coset Spaces -- List of Speakers -- List of Participants | |
ISBN: | 9789401008525 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO Science Series, Series C: Mathematical and Physical Sciences: 564 |
Keywords: | Physics , Nuclear physics , Heavy ions , Hadrons , Elementary particles (Physics) , Quantum field theory , Physics , Elementary Particles, Quantum Field Theory , Nuclear Physics, Heavy Ions, Hadrons , Theoretical, Mathematical and Computational Physics |
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