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SPIRES-BOOKS: FIND KEYWORD RENORMALIZATION PHYSICS *END*INIT* use /tmp/qspiwww.webspi1/14037.39 QRY 131.225.70.96 . find keyword "renormalization physics" ( in books using www Cover
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Call number:9789811034183:ONLINE Show nearby items on shelf
Title:Higgs Potential and Naturalness After the Higgs Discovery
Author(s): Yuta Hamada
Date:2017
Size:1 online resource (X, 114 p. 36 illus., 34 illus. in color p.)
Contents:Introduction -- Bare Parameters at Cutoff Scale -- Higgs Inflation and Standard Model Criticality -- Naturalness Problem and Quantum Gravity -- Dark Matter and Higgs Potential -- Summary -- Appendix A - Convention -- Appendix B -
Renormalization Group Equations -- Appendix C - Brief Review of Inflation -- Appendix D - Strong CP Problem -- Appendix E - Quantization of Majorana Field -- Appendix F - The Effect of the Principle Value
ISBN:9789811034183
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Astrophysics , Elementary particles (Physics) , Physics , Elementary Particles, Quantum Field Theory , Quantum Field Theories, String Theory , Astrophysics and Astroparticles , Mathematical 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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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:SPRINGER-2016-9783319313528:ONLINE Show nearby items on shelf
Title:Theoretical Frontiers in Black Holes and Cosmology Theoretical Perspective in High Energy Physics
Author(s):
Date:2016
Size:1 online resource (17 p.)
Note:10.1007/978-3-319-31352-8
Contents:Three Lectures on the FGK Formalism and Beyond -- Introductory Lectures on Extended Supergravities and Gaugings -- Supersymmetric Black Holes and Attractors in Gauged Supergravity -- Lectures on Holographic Renormalization --
Nonsingular Black Holes in Palatini Extensions of General Relativity -- Inflation: Observations and Attractors
ISBN:9783319313528
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Physics: 176
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Gravitation , Physics , Quantum Field Theories, String Theory , Classical and Quantum Gravitation, Relativity Theory , Mathematical Methods in Physics , Mathematical Physics
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Call number:SPRINGER-2016-9783319269023:ONLINE Show nearby items on shelf
Title:Quantum Mathematical Physics A Bridge between Mathematics and Physics
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-26902-3
Contents:Preface -- Christopher J. Fewster. On the Spin-Statistics Connection in Curved Spacetimes -- Daniel Becker, Martin Reuter. Is there a C-Function in 4D Quantum Einstein Gravity? -- José M. Gracia-Bondía.Systematic Renormalization at all Orders in t he DiffRen and Improved Epstein{Glaser Schemes -- Michael Dütsch. Higgs Mechanism and Renormalization Group Flow:Are They Compatible? -- Claudio Dappiaggi. Hadamard States From Null Infinity -- Michael Gransee.Local Thermal Equilibrium States in Relativi stic Quantum Field Theory -- Frédéric Paugam. Categorical Methods in Quantum Field Theory -- Harald Grosse, Raimar Wulkenhaar.A Solvable Four-Dimensional QFT -- Rainer Verch. Wave Equations with Non-Commutative Space and Time -- Gandalf Lechner, Jan Sch lemmer.Thermal Equilibrium States for Quantum Fields on Non-Commutative Spacetimes -- Christian Fleischhack.Kinematical Foundations of Loop Quantum Cosmology -- Gerhard Börner.Cosmic Puzzles - Dark Matter and Dark Energy -- Israel Michael
Sigal.Radiation and Scattering in Non-Relativistic Quantum Electrodynamics -- Stefan Teufel, Roderich Tumulka. Avoiding Ultraviolet Divergence by Means of Interior{Boundary Conditions -- Felix Finster.Causal Fermion Systems - An Overview -- Dirk-And ré Deckert, Franz Merkl. A Perspective on External Field QED -- Enno Keßler.Super Riemann Surfaces and the Super Conformal Action Functional -- Stefan Waldmann. Recent Developments in Deformation Quantization -- Michael K.-H. Kiessling.Dirac's Point Ele ctron in the Zero-Gravity Kerr - Newman World -- Christoph A. Stephan. Noncommutative Geometry and the Physics of the LHC Era -- Klaus Kröncke. Variational Stability and Rigidity of Compact Einstein Manifolds -- Index
ISBN:9783319269023
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical physics , Physics , Mathematics , Mathematical Physics , Theoretical, Mathematical and Computational 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-2016-9783319229669:ONLINE Show nearby items on shelf
Title:Concepts in Quantum Field Theory A Practitioner's Toolkit
Author(s): Victor Ilisie
Date:2016
Size:1 online resource (190 p.)
Note:10.1007/978-3-319-22966-9
Contents:1 Vectors, tensors, manifolds and Special Relativity -- 2 Lagrangians, Hamiltonians and Noether's Theorem -- 3 Relativistic kinematics and phase space -- 4 Angular Distributions -- 5 Dirac algebra -- 6 Dimensional regularization.
Ultraviolet and infrared divergences -- 7 QED renormalization -- 8 One-loop two and three-point functions -- 9 Massive spin one and renormalizable gauges -- 10 Symmetries and effective vertices -- 11 Effective field theory -- 12
Optical theorem -- A Master integral -- B Renormalization group equations -- C Feynman rules for derivative couplings
ISBN:9783319229669
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Elementary Particles, Quantum Field Theory , Quantum Field Theories, String Theory
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Call number:SPRINGER-2016-9783319226200:ONLINE Show nearby items on shelf
Title:Resummation and Renormalization in Effective Theories of Particle Physics
Author(s): Antal Jakovác
Date:2016
Edition:1st ed. 2016
Size:1 online resource (13 p.)
Note:10.1007/978-3-319-22620-0
Contents:Effective Theories From Nuclear to Particle Physics -- Finite Temperature Field Theories: Review -- Divergences in the Perturbation Theory -- Optimized Perturbation Theory -- The Large-N Expansion -- Dimensional Reduction and Infrared
Improved Treatment of Finite Temperature Transitions -- Thermodynamics of Strong Matter -- Finite Temperature Restoration of the Brout-Englert-Higgs Effect -- The Spectral Function.- Computation of the Basic Diagrams -- Integrals
Relevant for Dimensional Reduction
ISBN:9783319226200
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 912
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Elementary Particles, Quantum Field Theory , Quantum Field Theories, String Theory , Mathematical Applications in the Physical Sciences , Mathematical Physics
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Call number:SPRINGER-2016-9783319200460:ONLINE Show nearby items on shelf
Title:1st Karl Schwarzschild Meeting on Gravitational Physics
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (57 p.)
Note:10.1007/978-3-319-20046-0
Contents:Part I The Life and Work of Karl Schwarzschild. -Karl Schwarzschild and Frankfurt (Frank Linhard) -- Part II Black Holes in Classical General Relativity, Numerical Relativity, Astrophysics, Cosmology and Alternative Theories of
Gravity -- Black Hole Observations - towards the Event Horizon (Silke Britzen) -- Primordial Black Holes and Quantum Effects (B. J. Carr) -- There are no black holes - Pseudo-Complex General Relativity (Walter Greiner, Peter O. Hess,
Mirko Schäfer, Thomas Schönenbach, and Gunther Caspar) -- Analytical solutions for geodesic equation in black hole spacetimes (Claus Lämmerzahl and Eva Hackmann) -- A physical derivation of the Kerr–Newman black hole solution (Reinhard
Meinel) -- On the Black Holes in alternative theories of gravity: The case of non-linear massive gravity (Ivan Arraut) -- The Near-Horizon Limit (Jiří Daněk) -- Sourcing a Varying-Mass Black Hole in a Cosmological Background (Michele
Fontanini, Daniel C. Guariento) -- Tidally Distorted Black Holes (Norman Gürlebeck) -- Self–completeness in Alternative Theories of Gravity (Maximiliano Isi, Jonas Mureika and Piero Nicolini) -- Gravitational collapse to black holes
and more (Daniele Malafarina) -- Experimental Tests of Pseudo-Complex General Relativity (Thomas Schönenbach, Gunther Caspar, Peter O. Hess, Thomas Boller, Andreas Müller, Mirko Schäfer and Walter Greiner) -- Magnetic field
amplification in hypermassive neutron stars via the magnetorotational instability (Daniel M. Siegel and Riccardo Ciolfi) -- Extracting information on the equation of state from binary neutron stars (Kentaro Takami, Luciano Rezzolla and
Luca Baiotti) -- Part III Black Holes in Quantum Gravity and String Theory -- Higher Spin AdS / CFT correspondence & quantum gravity aspects of AdS/CFT (Martin Ammon) -- Black Holes in the Asymptotic Safety program (Alfio Bonanno) --
Quantum black holes and effective quantum gravity approaches (Xavier Calmet) -- The Black Hole Uncertainty Principle Correspondence (B. J. Carr) -- Scattering and unitarity methods in two dimensions (Valentina Forini, Lorenzo Bianchi
and Ben Hoare) -- Gravity Duals to Non-Relativistic Quantum Field Theories (Andreas Karch and Stefan Janiszewski) -- A ‘regularized’ Schwarzschild solution (F.R. Klinkhamer) -- The Chemistry of Black Holes (Robert B. Mann) -- Black
Holes in Supergravity (K. S. Stelle) -- Thermodynamic of Distorted Reissner-Nordström Black Holes in Five-dimensions (Shohreh Abdolrahimi) -- What is the Schwarzschild radius of a quantum mechanical particle? (Roberto Casadio) -- The
Background Effective Average Action Approach to Quantum Gravity (Giulio D’Odorico, Alessandro Codello, and Carlo Pagani) -- Phase transitions of regular Schwarzschild-Anti-de Sitter black holes (Antonia Micol Frassino) -- Vector Fields
and Kerr/CFT Correspondence (A. M. Ghezelbash) -- Black Holes in Non-relativistic Holography (Stefan Janiszewski) -- Black holes and running couplings: A comparison of two complementary approaches (Benjamin Koch, Carlos Contreras,
Paola Rioseco, and Frank Saueressig) -- Quantum Harmonic Black Holes (Alessio Orlandi, Roberto Casadio) -- Holographic entanglement entropy of semi-local quantum liquids (Da-Wei Pang, Johanna Erdmenger, and Hansjörg Zeller) --
Quadratic Palatini gravity and stable black hole remnants (D. Rubiera-Garcia, Francisco S. N. Lobo, and Gonzalo J. Olmo) -- Kermions (Elizabeth Winstanley) -- Part IV Other Topics in Contemporary Gravitation -- Quantum Gravity and the
Cosmological Constant Problem (J. W. Moffat) -- Emergent gravity and the cosmological constant (T. Padmanabhan) -- Tunnelling methods and Unruh-DeWitt detectors in curved spacetimes (Giovanni Acquaviva) -- Fermions on adS (Victor E.
Ambrus, and Elizabeth Winstanley) -- Study on Rescaling Extrinsic Curvature in Gravitational Initial Data (Shan Bai and Niall ´O Murchadha) -- Massive gravities (Dennis D. Dietrich) -- Self Sustained Traversable Wormholes and Topology
Change Induced by Gravity’s Rainbow (Remo Garattini) -- A general maximum entropy principle for self-gravitating perfect fluid (Sijie Gao) -- Dynamical holographic QCD model: resembling renormalization group from ultraviolet to
infrared (Mei Huang and Danning Li) -- Modified Theories of Gravity with Nonminimal Coupling and the Faint Young Sun Paradox (Lorenzo Iorio) -- A Practical Look at Regge Calculus (Dimitri Marinelli and Giorgio Immirzi) -- Boundary
States of the Potts Model on Random Planar Maps (Benjamin Niedner, Max Atkin and John Wheater) -- One-loop Effective Action in Quantum Gravitation (L. Rachwal, A. Codello, and R. Percacci) -- Heavy Probes in Strongly Coupled Plasmas
With Chemical Potential (Andreas Samberg and Carlo Ewerz)
ISBN:9783319200460
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Physics: 170
Keywords: Physics , Gravitation , Astronomy , Astrophysics , Cosmology , Nuclear physics , Physics , Classical and Quantum Gravitation, Relativity Theory , Astronomy, Astrophysics and Cosmology , Particle and Nuclear Physics , History and Philosophical Foundations of Physics
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Call number:SPRINGER-2014-9783642540226:ONLINE Show nearby items on shelf
Title:Scattering Amplitudes in Gauge Theories [electronic resource]
Author(s): Johannes M Henn
Jan C Plefka
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computedusing Feynman diagrams. I n the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach.These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simplerthan anticipated and hidden patterns emerge. These modern methods a re of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large HadronCollider, as well as in foundational mathematical physics studies on the S-matrix in quant um field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yetself-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-st udy guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerousexercises and solutions included will help readers to embrace and apply the material presented in the main text
Contents:Introduction and Basics
Tree
Level Techniques
Loop
Level Structure
Advanced Topics
Renormalization Properties of Wilson Loops
Conventions and Useful Formulae
Solutions to the Exercises
References
ISBN:9783642540226
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Physics, 0075-8450 : v883
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Quantum theory
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Call number:SPRINGER-2014-9783319061542:ONLINE Show nearby items on shelf
Title:Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems [electronic resource]
Author(s): Evgeny Barkhudarov
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This thesis has two parts, each based on an application of the renormalization-group (RG). The first part is an analysis of the d-dimensional Coulomb gas. The goal was to determine if the Wilson RG could provide input intoparticle-in-cell simulations in plasma physics, which are the main family of simulation methods used in this field. The role of the RG was to identify the effect of coarse-graining on the coupling constants as a function of thecut-offs. The RG calculation reproduced established resu lts, but in a more concise form, and showed the effect of the cut-offs on the Debye screening length. The main part of the thesis is the application of the dynamic RG toturbulence in magnetohydrodynamics. After transformation to Elsasser variables, which is a symmetrisation of the original equations, the solution is presented as a functional integral, which includes stirring forces, their conjugatesand functional Jacobian. The coarse-graining of the functional integral is represented as a diagrammatic exp ansion, followed by rescaling, and casting the results into differential equations for the analysis of RG trajectories.Detailed comparisons are made with the Navier-Stokes limit and with previous calculations for MHD
Contents:Part I Renormalization Group
Historical Overview
Wilson
Kadanoff Renormalization Group
Part II Equilibrium Statistical Mechanics
Coulomb Gas
D
dimensional Coulomb Gas
Renormalization Group Analysis
Part III Non
equilibrium Statistical Mechanics
Randomly Stirred Magnetohydrodynamics
Turbulent Flows
Recursion Relations and Fixed Point Analysis
ISBN:9783319061542
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , 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-2014-9783319018423:ONLINE Show nearby items on shelf
Title:Non-minimal Higgs Inflation and Frame Dependence in Cosmology [electronic resource]
Author(s): Christian Friedrich Steinwachs
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This thesis explores the idea that the Higgs boson of the Standard Model and the cosmological inflaton are just two manifestations of one and the same scalar field - the Higgs-inflaton. By this unification two energy scales thatare separated by many orders of magnitude are connected, thereby building a bridge between particle physics and cosmology. An essential ingredient for making this model consistent with observational data is a strong non-minimalcoupling to gravity. Predictions for the value of the Higgs mass as well as for cosmological parameters are derived, and can be tested by future experiments. The results become especially exciting in the light of the recently announceddiscovery of the Higgs boson. The model of non-minimal Higgs inflation is also used in a quantum cosmological context to predict initial conditions for inflation. These results can in turn be tested by the detection of primordialgravitational waves. Thepresentation includesall introductory material about cosmology and the S tandard Model that is essential forthe further understanding. It also provides an introduction to the mathematical methods used tocalculate the effective action by heat kernel methods
Contents:Introduction
Cosmology
Standard Model
Effective Action and Renormalization Group
One
Loop Cosmology and Frame Dependence
Non
minimal Higgs Inflation
Quantum Cosmology
Summary and Outlook
Riemann Curvature Tensor
Variations and Derivatives
Young Tableaux for Su (3)
Synge's World Function
ISBN:9783319018423
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2013-9783642363122:ONLINE Show nearby items on shelf
Title:Renormalization Group and Fixed Points [electronic resource] : in Quantum Field Theory
Author(s): Timothy J Hollowood
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:This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of thecouplings. The Wilso nian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkablerenormalization group properties of supersymmetric th eories
Note:Springer eBooks
Contents:The concept of the Renormalization Group
Scalar Field Theories
RG and Perturbation Theory
Gauge Theories and Running Couplings
RG and Supersymmetry
ISBN:9783642363122
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Physics, 2191-5423
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2013-9783642351068:ONLINE Show nearby items on shelf
Title:Strongly Correlated Systems [electronic resource] : Numerical Methods
Author(s): Adolfo Avella
Ferdinando Mancini
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:This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional propertiesemerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of theworld-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzlingphysics of a particular strongly correlated system. The book is i ntended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consultinga single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique
Note:Springer eBooks
Contents:1. Ground State and Finite Temperature Lanczos Method
2.The Density Matrix Renormalization Group
3. Matrix Product State Algorithms: DMRG, TEBD and Relatives
4.Quantum Criticality with the Multi
scale Entanglement Renormalization Ansatz
5. The Time
Dependent Density Matrix Renormalization Groupd
6.Loop Algorithm
7. Stochastic Series Expansion Quantum Monte Carlo
8. VariatonalMonte Carlo and Markov Chanis for Computational Physics
9. Coupled Cluster Theories for Strongly Correlated Molecular Systems
10. Diagrammatic Monte Carlo and Worm Algorithm Techniques
ISBN:9783642351068
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Solid-State Sciences, 0171-1873 : v176
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics
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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
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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-2013-9781461469803:ONLINE Show nearby items on shelf
Title:Stochastic Tools in Mathematics and Science [electronic resource]
Author(s): Alexandre J Chorin
Ole H Hald
Date:2013
Edition:3rd ed. 2013
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:Stochastic Tools in Mathematics and Science covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered include conditional expectations, stochastic processes, Brownianmotion and its relation to par tial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms, renormalization, basic statistical mechanics, and generalizedLangevin equations and the Mori-Zwanzig formalism. The applications include sampling algorithms, data assimilation, prediction from partial data, spectral analysis, and turbulence. The book is based on lecture notes from a classthat has attracted graduate and advanced undergraduate students from mathematics and from many other science departments at the University of California, Berkeley. Each chapter is followed by exercises. The book will be useful forscientists and engineers working in a wide range of fields and applications. For this new edition the ma terial has been thoroughly reorganized and updated, and new sections on scaling, sampling, filtering and data assimilation,based on recent research, have been added. There are additional figures and exercises. Review of earlier edition: This is an excel lent concise textbook which can be used for self-study by graduate and advanced undergraduatestudents and as a recommended textbook for an introductory course on probabilistic tools in science. Mathematical Reviews, 2006
Note:Springer eBooks
Contents:Preliminary
Probability
Brownian Motion
Stationary Stochastic Processes
Statistical Mechanics
Index
Time
Dependent Statistical Mechanics
ISBN:9781461469803
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v58
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Hydraulic engineering
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Call number:SPRINGER-2012-9783642348921:ONLINE Show nearby items on shelf
Title:Effective Theories in Physics [electronic resource] : From Planetary Orbits to Elementary Particle Masses
Author(s): James D Wells
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:There is significant interest in the Philosophy of Science community to understand the role that effective theories have in the work of forefront science. The ideas of effective theories have been implicit in science for along time, but have only bee n articulated well in the last few decades. Since Wilson's renormalization group revolution in the early 1970's, the science community has come to more fully understand its power, and by the mid-1990's ithad gained its apotheosis. It is still one of the m ost powerful concepts in science, which has direct impact in how one thinks about and formulates theories of nature. It is this power that this Brief sets out to emphasize throughhistorical analysis and current examples
Note:Springer eBooks
Contents:The Utility of Effective Theories
Harmonic Oscillator as an Effective Theory
Effective Theories of Classical Gravity
Effective Theories and Elementary Particle Masses
Effective Theories and Theory Choice
ISBN:9783642348921
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Physics, 2191-5423
Series:Physics and Astronomy (Springer-11651)
Keywords: Science Philosophy
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Call number:SPRINGER-2012-9783642281549:ONLINE Show nearby items on shelf
Title:Pseudochaotic Kicked Oscillators [electronic resource] : Renormalization, Symbolic Dynamics, and Transport
Author(s): John H Lowenstein
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Pseudochaotic Kicked Oscillators: Renormalization, Symbolic Dynamics, and Transport presents recent developments in pseudochaos, which is concerned with complex branching behaviors of dynamical systems at the interfacebetween orderly and chaotic moti on. Pseudochaos is characterized by the trapping of orbits in the vicinity of self-similar hierarchies of islands of stability, producing phase-space displacements which increase asymptotically as apower of time. This monograph is a thorough, self-contain ed investigation of a simple one-dimensional model (a kicked harmonic oscillator) which exhibits pseudochaos in its purest form. It is intended for graduate students andresearchers in physics and applied mathematics, as well as specialists in nonlinear dy namics. Dr. John H. Lowenstein is a Professor Emeritus in the Department of Physics at New York University, USA
Note:Springer eBooks
Contents:Local Dynamics: Piecewise Isometries of A Square
Symbolic Dynamics
Global Dynamics
Model of Hamiltonian Round
off
ISBN:9783642281549
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Systems theory , Mathematical physics
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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-2012-9783642273193: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:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642273193
Series:Lecture Notes in Physics
Series:e-books
Keywords: Mathematical Methods in Physics , Nuclear Physics, Heavy Ions, Hadrons , Quantum Gases and Condensates , Numerical and Computational Physics , Condensed Matter Physics
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Call number:SPRINGER-2012-9783642243752:ONLINE Show nearby items on shelf
Title:From the Universe to the Elementary Particles [electronic resource] : A First Introduction to Cosmology and the Fundamental Interactions
Author(s): Ulrich Ellwanger
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:In this book, the author leads the reader, step by step and without any advanced mathematics, to a clear understanding of the foundations of modern elementary particle physics and cosmology. He also addresses current andcontroversial questions on top ics such as string theory. The book containsgentle introductions to the theories of special and general relativity, and also classical and quantum field theory. The essential aspects of these conceptsare understood with the help of simple calculations for example, the force of gravity as a consequence of the curvature of the space-time. Also treated are the Big Bang, dark matter and dark energy, as well as the presently knowninteractions of elementary particles: electrodynamics, the strong and the weak in teractions including the Higgs boson. Finally, the book sketches as yet speculative theories: Grand Unification theories, supersymmetry, string theory andthe idea of additional dimensions of space-time. Since no higher mathematical or physics expertise is required, the book is also suitable for college and university students at the beginning of their studies. Hobby astronomers andother science enthusiasts seeking a deeper insight than can be found in popular treatments will also appreciate this unique bo ok
Note:Springer eBooks
Contents:Overview
The Evolution of the Universe
Elements of the Theory of Relativity
The Theory of Fields
Electrodynamics
The Strong Interaction
The Weak Interaction
The Production of Elementary Particles
Symmetries
The Standard Model of Particle Physics
Quantum Corrections and the Renormalization Group Equations
Beyond the Standard Model
Appendix
ISBN:9783642243752
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Lecture Notes in Physics
Series:Physics and Astronomy (Springer-11651)
Keywords: Astronomy
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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
Note:Springer e-book platform
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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-2012-9783642232862:ONLINE Show nearby items on shelf
Title:Charm Production in Deep Inelastic Scattering [electronic resource] : Mellin Moments of Heavy Flavor Contributions to F2(x,Q^2) at NNLO
Author(s): Sebastian Klein
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:The production of heavy quarks in high-energy experiments offers a rich field to study, both experimentally and theoretically. Due to the additional quark mass, the description of these processes in the framework of perturbativeQCD is much more deman ding than it is for those involving only massless partons. In the last two decades, a large amount of precision data has been collected by the deep inelastic HERA experiment. In order to make full use of thesedata, a more precise theoretical description o f charm quark production in deep inelastic scattering is needed. This work deals with the first calculation of fixed moments of the NNLO heavy flavor corrections to the proton structurefunction F2 in the limit of a small charm-quark mass. The correct trea tment of these terms will allow not only a more precise analysis of the HERA data, but starting from there also a more precise determination of the partondistribution functions and the strong coupling constant, which is an essential input for LHC physics. The complexity of this calculation requires the application and development of technical and mathematical methods, which are alsoexplained here in detail
Note:Springer eBooks
Contents:Deeply Inelastic Scattering
Heavy Quark Production in DIS
Renormalization of Composite Operator Matrix Elements
Representation in Different Renormalization Schemes
Calculation of the Massive Operator Matrix Elements up to O(as2 )
Calculation of Moments at O(a33)
Heavy Flavor Corrections to Polarized Deep
Inelastic Scattering
Heavy Flavor Contributions to Transversity
First Steps Towards a Calculation of Aij(3) for all Moments
Conclusions
Conventions
Feynman Rules
Special Functions
Finite and Infinite Sums
Moments of the Fermionic Contributions to th
ISBN:9783642232862
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Theses
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Quantum theory
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Call number:SPRINGER-2012-9783642151231:ONLINE Show nearby items on shelf
Title:Scale Invariance [electronic resource] : From Phase Transitions to Turbulence
Author(s): Annick Lesne
Michel Lages
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for theincredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely usefultools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in naturalsciences. Since then, a new physics of scaling laws and critical exponents , rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations,heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, cha os and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview,offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applicatio ns. It presents a complete tour of both the formal advances and experimental results associated with the notionof scaling, in physics, chemistry and biology
Note:Springer eBooks
Contents:Foreword by Pierre
Gilles de Gennes
Introduction
Change of State in Matter
Fractal Geometry
Universality as a Consequence of Scale Invariance
Diffusion
The Percolation Transition
Scaling Concepts in Polymer Physics
Superconducting Cuprates
Growth Mechanisms and Interface Roughness
Dynamical Systems, Chaos and Turbulence
Self
Organized Critical Phenomena
Scale Invariance in Biology
Power and Limits of Scaling Approaches
ISBN:9783642151231
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Engineering , Materials
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Call number:SPRINGER-2011-9783642202889:ONLINE Show nearby items on shelf
Title:Casimir Physics [electronic resource]
Author(s): Diego Dalvit
Peter Milonni
David Roberts
Felipe da Rosa
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:Casimir effects serve as primary examples of directly observable manifestations of the nontrivial properties of quantum fields, and as such are attracting increasing interest from quantum field theorists, particle physicists, andcosmologists. Further more, though very weak except at short distances, Casimir forces are universal in the sense that all material objects are subject to them. They are thus also an increasingly important part of the physics ofatom-surface interactions, while in nanotechnolog y they are being investigated not only as contributors to stiction but also as potential mechanisms for actuating micro-electromechanical devices. While the field of Casimirphysics is expanding rapidly, it has reached a level of maturity in some importan t respects: on the experimental side, where most sources of imprecision in force measurements have been identified as well as on the theoretical side,where, for example, semi-analytical and numerical methods for the computation of Casimir forces between b odies of arbitrary shape have been successfully developed. This book is, then, a timely and comprehensive guide to the essence ofCasimir (and Casimir-Polder) physics that will have lasting value, serving the dual purpose of an introduction and reference t o the field. While this volume is not intended to be a unified textbook, but rather a collection of largelyindependent chapters written by prominent experts in the field, the detailed and carefully written articles adopt a style that should appeal to non- specialist researchers in the field as well as to a broader audience of graduatestudents
Note:Springer eBooks
Contents:Introduction
Preface
On the Problem of Van der Waals Forces in Dielectric Media
Local and Global Casimir Energies: Divergences, Renormalization, and the Coupling to Gravity
Casimir Effect in the Scattering Approach: Correlations Between Material Properties, Temperature and Geometry
Geometry and Material Effects in Casimir Physics
Scattering Theory
Numerical Methods for Computing Casimir Interactions
Progress in Experimental Measurements of the Surface
Surface Casimir Force: Electrostatic Calibrations and Limitations to Accuracy
Attractive and Repulsive Casimir
Lifshit
ISBN:9783642202889
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v834
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2011-9783642197604:ONLINE Show nearby items on shelf
Title:Cosmology, Quantum Vacuum and Zeta Functions [electronic resource] : In Honor of Emilio Elizalde
Author(s): Sergey D Odintsov
Diego Sez-Gmez
Sebastian Xamb-Descamps
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:Some major developments of physics in the last three decades are addressed by highly qualified specialists in different specific fields. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimireffect in different confi gurations, and a wealth of applications. A number of closely related issues are also considered. The cosmological applications of these theories play a crucial role and are at the very heart of the book inparticular, the possibility to explain in a unifie d way the whole history of the evolution of the Universe: from primordial inflation to the present day accelerated expansion. Further, a description of the mathematical backgroundunderlying many of the physical theories considered above is provided. This includes the uses of zeta functions in physics, as in the regularization problems in QFT already mentioned, specifically in curved space-time, and in Casimirproblems as
Note:Springer eBooks
Contents:Part I QFT and the Casimir Effect
1. I. Ya. AREFEVA. Colliding Hadrons as Cosmic Membranes and Possible Signatures of Lost Momentum
2. M. ASOREY, I. CaveroPelez and J. M. MuozCasta. Vacuum energy and the Topology of the Universe
3. M. BORDAG and I. Pirozhenko. The Low Temperature Corrections to the Casimir Force Between a Sphere and a Plane
4. I. BREVIK. Casimir Effect for the Piecewise Uniform String
5. I.L. BUCHBINDER, N.G. Pletnev and I.B. Samsonov. N = 2 and N = 4 Supersymmetric LowEnergy Effective Actions in Three Dimensions
6. M. CHAICHIAN. Colour Confinem
ISBN:9783642197604
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Physics, 0930-8989 : v137
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics
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Call number:SPRINGER-2010-9783642156243:ONLINE Show nearby items on shelf
Title:Lectures on Classical and Quantum Theory of Fields [electronic resource]
Author(s): Henryk Arod
Leszek Hadasz
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook on classical and quantum theory of fields addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking intoaccount the contemporar y view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the bookis devoted to classical fields. Each chapte r contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. The textbook is based on lectures delivered to students oftheoretical physics at Jagiellonian University. It aims to deliver a uniq ue combination of classical and quantum field theory in one compact course
Note:Springer eBooks
Contents:Introduction
The Euler
Lagrange equations and Noether's theorem
Scalar fields
Vector fields
Relativistic spinor fields
The quantum theory of free fields
Perturbative expansion in the phi44 model
Renormalization
Renormalization group
Relativistic invariance and the spectral decomposition of G(2)
Paths integrals in QFT
The perturbative expansion for non
Abelian gauge fields
The simplest supersymmetric models
Anomalies
Appendix: Some facts about generalized functions
ISBN:9783642156243
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Field theory (Physics) , Quantum theory
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Call number:SPRINGER-2010-9783642141133:ONLINE Show nearby items on shelf
Title:Functional Renormalization and Ultracold Quantum Gases [electronic resource]
Author(s): Stefan Flrchinger
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Modern techniques from quantum field theory are applied in this work to the description of ultracold quantum gases. This leads to a unified description of many phenomena including superfluidity for bosons and fermions, classicaland quantum phase tran sitions, different dimensions, thermodynamic properties and few-body phenomena as bound state formation or the Efimov effect. The non-perturbative treatment with renormalization group flow equations can accountfor all known limiting cases by solving one s ingle equation. It improves previous results quantitatively and brings qualitatively new insights. As an example, new quantum phase transitions are found for fermions with three spin states.Ultracold atomic gases can be seen as an interesting model for fe atures of high energy physics and for condensed matter theory. The research reported in this thesis helps to solve the difficult complexity problem in modern theoreticalphysics
Note:Springer eBooks
Contents:Introduction
The Wetterich equation
Generalized flow equation
Truncations
Cutoff choices
Investigated models
Symmetries
Truncated flow equations
Few
body physics
Many
body physics
Conclusions
A. Some ideas on functional integration and probability
B. Technical additions
Bibliography
ISBN:9783642141133
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2010-9783642118975:ONLINE Show nearby items on shelf
Title:New Paths Towards Quantum Gravity [electronic resource]
Author(s): Bernhelm Boo-Bavnbek
G Esposito
Matthias Lesch
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity. New ideas - and there are many of them forthis is an exciting fie ld of research - often diverge to a degree where it seems impossible to decide in which of the many possible direction(s) the ongoing developments should be further sustained. The division of the book in two(overlapping) parts reflects the duality between the physical vision and the mathematical construction. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization and ongauge field path integrals. The latter one by lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity. The book will benefit everyone working or entering the field of quantumgravity research
Note:Springer eBooks
Contents:Three Physics Visions
Notes on Quantum Gravity and Noncommutative Geometry
Quantum Gravity as Sum over Spacetimes
Lectures on Quantization of Gauge Systems
Novel Mathematical Tools
Mathematical Tools for Calculation of the Effective Action Effective Action in Quantum Gravity
Lectures on Cohomology, T
Duality, and Generalized Geometry
Stochastic Geometry and Quantum Gravity: Some Rigorous Results
Afterthoughts
Steps Towards Quantum Gravity and the Practice of Science: Will the Merger of Mathematics and Physics Work?
ISBN:9783642118975
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v807
Series:Physics and Astronomy (Springer-11651)
Keywords: Discrete groups
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Call number:SPRINGER-2010-9783642050947:ONLINE Show nearby items on shelf
Title:Introduction to the Functional Renormalization Group [electronic resource]
Author(s): Peter Kopietz
Lorenz Bartosch
Florian Schtz
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalizationgroup is a modern for mulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of therenormalization group idea, requiring only basic knowle dge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-containedintroduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown toencompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers ofderivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible v ertices is used to study various aspects of non-relativistic fermions, including the so-calledBCS-BEC crossover, thereby making the link to contemporary research topics
Note:Springer eBooks
Contents:Part I: Foundations of the Renormalization Group
Part II: Introduction to the Functional Renormalization Group
Group III: Functional Renormalization Group Approach to Fermions
Index
References
ISBN:9783642050947
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v798
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Mathematical physics , Magnetism
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Call number:SPRINGER-2010-9783642045189:ONLINE Show nearby items on shelf
Title:Fundamentals of the Physics of Solids [electronic resource] : Volume 3 - Normal, Broken-Symmetry, and Correlated Systems
Author(s): Jen Slyom
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This book is the third of a three-volume series written by the same author that aims to deliver a comprehensive and self-contained account of the vast field of solid-state physics. It goes far beyond most classic texts in thepresentation of the prope rties of solids and experimentally observed phenomena, along with the basic concepts and theoretical methods used to understand them and the essential features of various experimental techniques. The firstvolume deals with the atomic and magnetic structur e and dynamics of solids, the second with those electronic properties that can be understood in the one-particle approximation, and the third with the effects due to interactions andcorrelations between electrons. In the present volume the electronelectro n interaction is treated first in the HartreeFock approximation. The density-functional theory is introduced to account for correlation effects. Theresponse to external perturbations is discussed in the framework of linear response theory. Landaus Fermi-l iquid theory is followed by the theory of Luttinger liquids. The subsequent chapters are devoted to electronic phases withbroken symmetry: to itinerant magnetism, to spin- and charge-density waves and their realizations in quasi-one-dimensional materials, as well as to the microscopic theory of superconductivity. An overview is given of the physics ofstrongly correlated systems. The last chapter covers selected problems in the physics of disordered systems. The text provides material for upper-level under graduate and graduate courses. It will also be a valuable reference forresearchers in the field of condensed matter physics
Note:Springer eBooks
Contents:Electrons
Electron Interaction and Correlations
Electronic Response to External Perturbations
Cohesive Energy of the Electron System
Excitations in the Interacting Electron Gas
Fermion Liquids
Electronic Phases with Broken Symmetry
Microscopic Theory of superconductivity
Strongly Correlated Systems
Disordered Systems
Response to External Perturbations
Green Functions of the Many
Body Problem
Field Theory of Luttinger Liquids
Renormalization and Scaling in Solid
State Physics
ISBN:9783642045189
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , Materials
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Call number:SPRINGER-2010-9783642024870:ONLINE Show nearby items on shelf
Title:Renormalization Group Theory [electronic resource] : Impact on Experimental Magnetism
Author(s): Ulrich Kbler
Andreas Hoser
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Spin wave theory of magnetism and BCS theory of superconductivity are typical theories of the time before renormalization group (RG) theory. The two theories consider atomistic interactions only and ignore the energy degrees offreedom of the continuo us (infinite) solid. Since the pioneering work of Kenneth G. Wilson (Nobel Prize of physics in 1982) we know that the continuous solid is characterized by a particular symmetry: invariance with respect totransformations of the length scale. Associated wit h this symmetry are particular field particles with characteristic excitation spectra. In diamagnetic solids these are the well known Debye bosons. This book reviews experimental workon solid state physics of the last five decades and shows in a phenomeno logical way that the dynamics of ordered magnets and conventional superconductors is controlled by the field particles of the infinite solid and not by magnons andCooper pairs, respectively. In the case of ordered magnets the relevant field particles are called GSW bosons after Goldstone, Salam and Weinberg and in the case of superconductors the relevant field particles are called SC bosons. Onecan imagine these bosons as magnetic density waves or charge density waves, respectively. Crossover from atomist ic exchange interactions to the excitations of the infinite solid occurs because the GSW bosons have generally lowerexcitation energies than the atomistic magnons. According to the principle of relevance the dynamics is governed by the excitations with th e lowest energy. The non relevant atomistic interactions with higher energy are practicallyunimportant for the dynamics
Note:Springer eBooks
Contents:1. Introduction
2. History of conventional spin wave theory
3. Basic issues of Renormalization Group (RG) theory
4. Universality
5. Microscopic processes
6. Non
relevant magnons
7. Crossover phenomena
8. Metastability of universality classes
9. Relevant and non relevant interactions
10. Temperature dependence of the magnon excitation spectra
11. Magnetic heat capacity
12. Experimental verification of GSW bosons
13. Magnets with and without magnon gap (Goldstone mode)
14. Microscopic details: spin structure, site disorder, two order parameters
15. The c
ISBN:9783642024870
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Materials Science, 0933-033X : v127
Series:Physics and Astronomy (Springer-11651)
Keywords: Magnetism
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Call number:SPRINGER-2010-9783642018961:ONLINE Show nearby items on shelf
Title:Advances in Polaron Physics [electronic resource]
Author(s): Alexandre S Alexandrov
Jozef T Devreese
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:While basic features of polarons were well recognized a long time ago and have been described in a number of review papers and textbooks, interest in the role of electron-phonon interactions and polaron dynamics in contemporarymaterials has recently gone through a vigorous revival. Electron-phonon interactions have been shown to be relevant in high-temperature superconductors and colossal magnetoresistance oxides, and transport through nanowires and quantumdots also often depends on vibronic displace ments of ions. The continued interest in polarons extends beyond physical description of advanced materials. The field has been a testing ground for analytical, semi-analytical, and numericaltechniques, such as path integrals, strong-coupling perturbation expansion, advanced variational, exact diagonalization, density-matrix renormalization group, dynamic mean-field, and quantum Monte Carlo techniques. Single andmulti-polaron theories have offered a new insight in our understanding of high-temperature sup erconductivity, colossal magnetoresistance, and the correlated transport through molecular quantum dots. This book reviews some recentdevelopments in the field of polarons, starting with the basics and covering a number of active directions of research
Note:Springer eBooks
Contents:Introduction
Electron
Phonon Interaction
Continuum Polaron
Lattice Polaron
Bipolaron and Multi
Polaron Problem
Polarons in Contemporary Materials
Current Status of Polarons and Open Problems
ISBN:9783642018961
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Solid-State Sciences, 0171-1873 : v159
Series:Physics and Astronomy (Springer-11651)
Keywords: Magnetism , Engineering , Optical materials
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Call number:SPRINGER-2009-9783764388782:ONLINE Show nearby items on shelf
Title:E.C.G. Stueckelberg, An Unconventional Figure of Twentieth Century Physics [electronic resource] : Selected Scientific Papers with Commentaries
Author(s): Jan Lacki
Henri Ruegg
Grard Wanders
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
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Note:Born in 1905, Ernst C. G. Stueckelberg was professor of theoretical physics at the Universities of Geneva and Lausanne in the years 1930-1970. He was one of the most eminent Swiss physicists of the 20th century. Hisbreakthroughs, from his causal S-ma trix to the renormalization group, have influenced the development of contemporary theoretical physics. The book presents a selection of his most important scientific papers. They are preceded with aseries of introductory essays, contributed by scientists and historians, specialists of Stueckelbergs achievements and time. These essays deal with the scientific context and the issues of the various topics that Stueckelbergtackled in his scientific career and serve as an enlightening complement to the reprin ted papers. The volume also contains Stueckelbergs concise biography and an exhaustive list of his publications. It ambitions to provide anauthoritative source gathering in a single place all the material needed to assess the scientific achievements of on e of the most important, albeit somehow overlooked, scientists of 20th century
Note:Springer eBooks
Contents:Ernst C. G. Stueckelberg: Biography and Personal Recollections
Overview of Stueckelbergs Life as a Scientist
Stueckelberg in Geneva and Lausanne
Scientific Work
Stueckelberg and Molecular Physics
Stueckelbergs Covariant Perturbation Theory
Stueckelbergs Unitary Field Theory of 19361939
Stueckelberg 19371942: The B
Field and Antiparticles as Time
Reversed Particles
Stueckelberg and the S
Matrix Theory
Relativistic Thermodynamics
Stueckelbergs Selected Papers
Theorie der unelastischen Stsse zwischen Atomen
Relativistisch invariante Strung
ISBN:9783764388782
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
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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
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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-2009-9783642001390:ONLINE Show nearby items on shelf
Title:Spectral Methods in Quantum Field Theory [electronic resource]
Author(s): Herbert Weigel
Markus Quandt
Noah Graham
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum inparticular. This approach can be succesfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The methodintroduced and applied in this book is shown to give a n unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, forexample illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many ofthe subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field andnonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoret ical aspects of the method make the book self-contained and thus suitable for advanced graduate students
Note:Springer eBooks
Contents:Introduction
Review of Scattering Theory
Quantum Field Theory and the Spectral Method
Applications in One Space Dimension
Spectral Analysis of Charges
Hedgehog Configurations in d=3+1
Boundary Conditions and Casimir Forces
String Type Configurations
Quantum Corrections to Q
Balls
References
Index
ISBN:9783642001390
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v777
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2009-9783540875253:ONLINE Show nearby items on shelf
Title:Fine Structures of Hyperbolic Diffeomorphisms [electronic resource]
Author(s): Alberto A Pinto
David A Rand
Flvio Ferreira
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The study of hyperbolic systems is a core theme of modern dynamics. On surfaces the theory of the fine scale structure of hyperbolic invariant sets and their measures can be described in a very complete and elegant way, and is thesubject of this book , largely self-contained, rigorously and clearly written. It covers the most important aspects of the subject and is based on several scientific works of the leading research workers in this field. This book fills agap in the literature of dynamics. We hi ghly recommend it for any Ph.D student interested in this area. The authors are well-known experts in smooth dynamical systems and ergodic theory
Note:Springer eBooks
Contents:HR structures
Solenoid functions
Self
renormalizable structures
Rigidity
Gibbs measures
Measure scaling functions
Measure solenoid functions
Cocycle
gap pairs
Hausdorff realizations
Extended Livic
Sinai eigenvalue formula
Arc exchange systems and renormalization
Golden tilings (in collaboration with J.P.Almeida and A.Portela)
Pseudo
Anosov diffeomorphisms in pseudo
surfaces
ISBN:9783540875253
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Differential equations, partial , Mathematical physics
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Call number:SPRINGER-2009-9783540853770:ONLINE Show nearby items on shelf
Title:Quantum Field Theory II: Quantum Electrodynamics [electronic resource] : A Bridge between Mathematicians and Physicists
Author(s): Eberhard Zeidler
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is the second volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. This book seeks to bridge theexisting gap between t he different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to discover interesting interrelationships betweenquite diverse mathematical topics. For student s of physics fairly advanced mathematics, beyond that included in the usual curriculum in physics, is presented. The present volume concerns a detailed study of the mathematical andphysical aspects of the quantum theory of light
Note:Springer eBooks
Contents:Part I. Introduction
Part II. Basic Ideas in Classical Mechanics
Part III. Basic Ideas in Quantum Mechanics
Part IV. Quantum Electrodynamics (QED)
Part V. Renormalization
Epilogue
References
List of Symbols
Index
ISBN:9783540853770
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Geometry , 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
Note:Springer e-book platform
Note:Springer 2013 e-book collections
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-2009-9781441910028:ONLINE Show nearby items on shelf
Title:Stochastic Tools in Mathematics and Science [electronic resource]
Author(s): Alexandre Chorin
Ole H Hald
Date:2009
Edition:second
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:Stochastic Tools in Mathematics and Science is an introductory book on probability-based modeling. It covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered includeconditional expectations, sto chastic processes, Brownian motion and its relation to partial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms,renormalization and dimensional reduction, and basic equil ibrium and non-equilibrium statistical mechanics. The applications include data assimilation, prediction from partial data, spectral analysis, and turbulence. A noteworthyfeature of the book is the systematic analysis of memory effects. In thissecond edit ion, the new topics include Feynman diagrams and a new discussion of the renormalization group. The book is based on lecture notes from a class thathas attracted graduate and advanced undergraduate students from mathematics and from many other science dep artments at the University of California, Berkeley. Each chapter is followed by exercises. The book will be useful forscientists and engineers working in a wide range of fields and applications. Chorin and Hald provide excellent explanations with consider able insight and deep mathematical understanding, especially toward the end of the book in thecontext of simplified versions of the famous statistical mechanics models of Ising and of Mori and Zwanzig. (SIAM Review)
Note:Springer eBooks
Contents:Preliminaries
Probability
Brownian Motion
Stationary Stochastic Processes
Statistical Mechanics
Time
Dependent Statistical Mechanics
ISBN:9781441910028
Series:e-books
Series:SpringerLink (Online service)
Series:Surveys and Tutorials in the Applied Mathematical Sciences : v1
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Statistical physics , Thermodynamics , Hydraulic engineering
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Call number:SPRINGER-2008-9783540770145:ONLINE Show nearby items on shelf
Title:Problem Book in Quantum Field Theory [electronic resource]
Author(s): Voja Radovanovi
Date:2008
Edition:Second Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordonand Dirac equations, c lassical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presentedin a systematic and complete manner. The ma terial covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers. The new edition is a correctedpaperback edition for students
Note:Springer eBooks
Contents:Problems: Lorentz and Poincar Symmetries
The Klein
Gordon Equation
The gamma
matrices
The Dirac Equation
Classical Field Theory and Symmetries
Green Functions
Canonical Quantization of Scalar Field
Canonical Quantization of the Dirac Field
Canonical Quantization of the Electromagnetic Field
Processes in the Lowest Order of Perturbation Theory
Renormalization and Regularization
Solutions: Lorentz and Poincar Symmetries
The Klein
Gordon Equation
The gamma
matrices
The Dirac Equation
Classical Field Theory and Symmetries
Green Functions
Canon
ISBN:9783540770145
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2008-9783540682226:ONLINE Show nearby items on shelf
Title:Turbulence and Diffusion [electronic resource] : Scaling Versus Equations
Author(s): Oleg G Bakunin
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This book is an introduction to the multidisciplinary field of anomalous diffusion in complex systems, with emphasis on the scaling approach as opposed to techniques based on the quantitative analysis of underlying transportequations. Typical example s of such systems are turbulent plasmas, convective rolls, zonal flow systems and stochastic magnetic fields. From the more methodological point of view, the approach relies on the general use of correlationsestimates, quasilinear equations and continuous time random walk techniques. Yet, the mathematical descriptions are not meant to become a fixed set of recipes but rather develop and strengthen the reader's physical intuition andunderstanding on the underlying mechanisms involved. Most of the material stems from class-tested lectures, where graduate students where assumed to have a working knowledge of classical physics, fluid dynamics and plasma physics butotherwise no prior knowledge of the subject matter is assumed from the side of the reader
Note:Springer eBooks
Contents:Introduction
Turbulent Diffusion and Scaling
Non
Local Effects and Diffusion Equations
The Diffusive Renormalization and Correlations
The Diffusion Equations and the Quasi
Linear Approximation
Return Effects and Random Shear Flows
Turbulence of Magnetic Field Lines
Stochastic Instability and Turbulence
Anomalous Transport and Convective Cells
Fractal and Percolation Concepts
percolation and Turbulent Transport
Multiscale Approach and Scalings
Subdiffiusion and Trapping
Continuous Time Random Walks and Transport Scalings
Correlation and Phase
Space
ISBN:9783540682226
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389
Series:Physics and Astronomy (Springer-11651)
Keywords: Physical geography , Statistical physics , Thermodynamics , Plasma (Ionized gases) , Engineering
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Call number:SPRINGER-2008-9781402085123:ONLINE Show nearby items on shelf
Title:Quantum Magnetism [electronic resource]
Author(s): Bernard Barbara
Yosef Imry
G Sawatzky
P. C. E Stamp
Date:2008
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:This book is based on some of the lectures during the Pacific Institute of Theoretical Physics (PITP) summer school on Quantum Magnetism, held during June 2006 in Les Houches, in the French Alps. The school was funded jointlyby NATO, the CNRS, and PI TP, and entirely organized by PITP. Magnetism is a somewhat peculiar research field. It clearly has a quantum-mechanical basis the microsopic exchange interactions arise entirely from the exclusionprinciple, in conjunction with respulsive interactions be tween electrons. And yet until recently the vast majority of magnetism researchers and users of magnetic phenomena around the world paid no attention to these quantum-mechanicalroots. Thus, eg., the huge ($400 billion per annum) industry which manufacture s hard discs, and other components in the information technology sector, depends entirely on room-temperature properties of magnets - yet at the macroscopicor mesoscopic scales of interest to this industry, room-temperature magnets behave entirely classic ally. This situation has now begun to change, and the quantum collective properties of magnetic systems, for so long of interest only toa few, have begun to move to centre stage. There are several reasons for this. One is the increasing use of low tempera tures in industrial and applied research labs, and the recognition that the low-T properties of many new magneticmaterials are of great potential use in future devices. Another is the emergence of nanoscience, and its offshoot nanotechnology, as an import ant new discipline the majority of high-tech applications of nanotechnology so farenvisaged will also be low-temperature ones. All this has meant that collective quantum phenomena, occurring at low T in quantum dots, magnetic molecules, and nanoscopic co nductors, have suddenly become interesting to more than justpure physics researchers. The design of new magnetic quantum materials, of spin-based quantum devices in low-dimensional geometries, a
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Contents:A Gentle Introduction to the Functional Renormalization Group: the Kondo Effect in Quantum Dots
Halfvortices in Flat Nanomagnets
Spin Structure and Dynamical Magnetic Response of Spin
Orbital Polarons in Lightly Doped Cobaltates
Quantum Corrections to the Ising Interactions in LiY1
xHoxF4
Spin
orbital
lattice Physics in a Ca
based Ruthenates
Local Moment Approach to Multi
orbital Anderson and Hubbard Models
High Field Level Crossing Studies on Spin Dimers in the Low Dimensional Quantum Spin System Na2T2(C2O4)3(H2O)2 with T=Ni,Co,Fe,Mn
Quantum Nanomagnets and Nuclear Spins:
ISBN:9781402085123
Series:e-books
Series:SpringerLink (Online service)
Series:NATO Science for Peace and Security Series, Series B: Physics and Biophysics, 1874-6500
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic , Quantum theory , Magnetism
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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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Call number:SPRINGER-2007-9783540303084:ONLINE Show nearby items on shelf
Title:Frontiers in Number Theory, Physics, and Geometry II [electronic resource] : On Conformal Field Theories, Discrete Groups and Renormalization
Author(s): Pierre Cartier
Pierre Moussa
Bernard Julia
Pierre Vanhove
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than ten years after a first meeting in1989 between number th eorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics. This book is the result of that exciting meeting, andcollects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists. The present volume has three parts: Conformal Field Theories, Discrete Groups,Renomalization. The companion volume is subtitled: On Random Matrice s, Zeta Functions and Dynamical Systems (Springer, 3-540-23189-7)
Note:Springer eBooks
Contents:Conformal Field Theories for Strings and Branes
The Dilogarithm Function
Conformal Field Theory and Torsion Elements of the Bloch Group
Tracks, Lie's, and Exceptional Magic
Gauge Theories from D Branes
On Superconformal Field Theories Associated to Very Attractive Quartics
Discrete Groups and Automorphic Forms
An Introduction to Arithmetic Groups
Automorphic Forms: A Physicist's Survey
Strings and Arithmetic
Modular Curves, C*
algebras, and Chaotic Cosmology
Replicable Functions: An Introduction
Lectures on the Langlands Program and Conformal Field Theory
ISBN:9783540303084
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Number theory , Mathematical physics
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Call number:SPRINGER-2007-9781402053887:ONLINE Show nearby items on shelf
Title:Non-Linear Dynamics Near and Far from Equilibrium [electronic resource]
Author(s): J.K Bhattacharjee
S Bhattacharyya
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
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Note:This text gives a detailed account of various techniques that are used in the study of dynamics of continuous systems, near as well as far from equilibrium. The analytic methods covered include diagrammatic perturbation theory,various forms of the re normalization group and self-consistent mode coupling. Dynamic critical phenomena near a second order phase transition, phase ordering dynamics, dynamics of surface growth and turbulence form the backbone of thebook. Applications to a wide variety of syst ems (e.g. magnets, ordinary fluids, superfluids) are provided covering diverse transport properties (diffusion, sound). It is unique in that it gives a detailed description of perturbationtheory for nonlinear continuous systems, it focuses on techniques w hich can be applied to problems ranging from near equilibrium dynamics to fully developed turbulence, and it provides a discussion of physical properties (e.g. criticalultrasonics) that are generally not covered in text books. Audience: Beginning graduate students, senior undergraduates, researchers
Note:Springer eBooks
Contents:1: Introduction
2: Dynamics
3: Dynamic Renormalization Group
4: Mode Coupling Theories
5: Binary Fluid Mixtures
6: Spinodal Decomposition
7: Surface Growth
8: Turbulence
9: Polymer Dynamics
Appendix A Functional Integration. Appendix B Field Theoretic RG
Subject Index
ISBN:9781402053887
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Statistical physics , Soft condensed matter
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Call number:SPRINGER-2006-9788847004726:ONLINE Show nearby items on shelf
Title:Imagination and Rigor [electronic resource] : Essays on Eduardo R. Caianiellos Scientific Heritage
Author(s): Settimo Termini
Date:2006
Publisher:Milano : Springer Milan
Size:1 online resource
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Note:The aim of this Volume of scientific essays is twofold. From one side, by remembering the scientific figure of Eduardo R. Caianiello, it aims at focusing his outstanding contributions - from theoretical physics to cybernetics -which after so many yea rs still represent occasion of innovative paths to be fruitfully followed. It must be stressed the contribution that his interdisciplinary methodology can still be of great help in affording and solving presentday complex problems. On the other side, it a ims at pinpointing with the help of the scientists contributing to the Volume - some crucial problems in present day research in the fields of interest of Eduardo Caianiello and which arestill among the main lines of investigation of some of the Istitutes founded by Eduardo (Istituto di Cibernetica del CNR, IIAS, etc)
Note:Springer eBooks
Contents:Pattern Discovery in the Crib of Procrustes
Close Encounters With Far Ideas
Remarks on the Semantics of Information
Simulation Models of Organism Behavior: Some Lessons from Precybernetic and Cybernetic Approaches
Caianiello and Neural Nets
Computability, Computation, and the Real World
Structure, Combinatorics, and Complexity of Words
Quantum Field Theory and Renormalization Theory in the Early Scientific Activity of Eduardo R. Caianiello
The Renormalization Group from Bogoliubov to Wilson
Caianiellos Maximal Acceleration. Recent Developments
Model
ISBN:9788847004726
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer science , Astronomy , Engineering
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Call number:SPRINGER-2006-9783540362173:ONLINE Show nearby items on shelf
Title:Statistical Mechanics [electronic resource]
Author(s): Franz Schwabl
Date:2006
Edition:Second Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:The completely revised new edition of the classical book on Statistical Mechanics covers the basic concepts of equilibrium and non-equilibrium statistical physics. In addition to a deductive approach to equilibrium statistics andthermodynamics based on a single hypothesis - the form of the microcanonical density matrix - this book treats the most important elements of non-equilibrium phenomena. Intermediate calculations are presented in complete detail.Problems at the end of each chapter help student s to consolidate their understanding of the material. Beyond the fundamentals, this text demonstrates the breadth of the field and its great variety of applications. Modern areas such asrenormalization group theory, percolation, stochastic equations of mo tion and their applications to critical dynamics, kinetic theories, as well as fundamental considerations of irreversibility, are discussed. The text will be usefulfor advanced students of physics and other natural sciences a basic knowledge of quantum me chanics is presumed
Note:Springer eBooks
Contents:Fundamentals
Equilibrium States
Thermodynamics
Ideal Quantum Gases
Real Gases, Liquids and Solutions
Magnetism
Phase Transitions, Renormalization Group Theory, and Percolation
Brownian Movement, Stochastic Equations of Motion and Fokker
Planck Equations
Boltzmann Equation
Irreversibility and Striving for Equilibrium
Appendix
ISBN:9783540362173
Series:e-books
Series:SpringerLink (Online service)
Series:Advanced Texts in Physics, 1439-2674
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Quantum computing , Statistical physics , Thermodynamics , Condensed matter , Engineering
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