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図書
図書
1. Fields, symmetries, and quarks. 2nd, rev. and enl. ed
Ulrich Mosel
出版情報: Berlin : Springer, c1999  xiii, 310 p. ; 25 cm
シリーズ名: Texts and monographs in physics
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目次情報: 続きを見る
Preliminaries / Part I：
Units and Metric / 1：
Units / 1.1：
Metric and Notation / 1.2：
Fundamentals of Field Theory / Part II：
Classical Fields / 2：
Equations of Motion / 2.1：
Examples / 2.1.1：
Symmetries and Conservation Laws / 2.2：
Geometrical Space-Time Symmetries / 2.2.1：
Internal Symmetries / 2.2.2：
Free Fields and Their Quantization / 3：
Classification of Fields / 3.1：
Scalar Fields / 3.2：
Quantization of the Hermitian Scalar Field / 3.2.1：
Quantization of the Charged Scalar Field / 3.2.2：
Vector Fields / 3.3：
Massive Vector Fields / 3.3.1：
Massless Vector Fields / 3.3.2：
Fermion Fields / 3.4：
Dirac Equation / 3.4.1：
Lagrangian for Fermion Fields / 3.4.2：
Quantization ofthe Dirac Field / 3.4.3：
Massless Fermions / 3.4.4：
Neutrinos / 3.4.5：
Transition Rates in Quantum Field Theory / 3.5：
Quantum Mechanical Consistency / 3.6：
GlobalSymmetries / Part III：
Symmetries of Meson and Baryon Systems / 4：
U(1) Symmetry / 4.1：
Properties of the Group U(1) / 4.1.1：
Structure of the Nucleon Lagrangian / 4.1.2：
SU(2) Symmetry / 4.2：
Properties of the Group SU(2) / 4.2.1：
General Definitions / 4.2.2：
Application to the Pion-Nucleon System / 4.2.3：
Structure of SU(2) Multiplets / 4.2.4：
SU(3) Symmetry / 4.3：
Properties of the Group SU(3) / 4.3.1：
Structure of SU(3) Multiplets / 4.3.2：
Assignments of Hadrons to SU(3) Multiplets / 4.3.3：
SU(3) Symmetry Breaking / 4.3.4：
Quarks / 5：
Construction of SU(3) Multiplets / 5.1：
Construction of the Representation <$>3 \otimes \bar {3}<$> / 5.1.1：
Construction of the Representation 3 ⊗ 3 ⊗ 3 / 5.1.2：
State Vectors for the Multiplets / 5.2：
Tensor Algebra / 5.2.1：
Hadron Multiplets / 5.2.2：
Color Degree of Freedom / 5.3：
Chiral Symmetry / 6：
Phenomenology of β-Decay / 6.1：
Leptonic β-Decay / 6.1.1：
Semileptonic β-Decay / 6.1.2：
Current Conservation in Strong Interactions / 6.2：
Vector Current Conservation / 6.2.1：
Axial Vector Current Conservation / 6.2.2：
Chiral Symmetry Group / 6.3：
Chiral Symmetry Transformations for the Fermions / 6.3.1：
Chiral Symmetry Transformations for the Mesons / 6.3.2：
Spontaneous Global Symmetry Breaking / 7：
Goldstone Theorem / 7.1：
Goldstone Bosons / 7.1.1：
Examples of the Goldstone Mechanism / 7.2：
Spontaneous Breaking of a Global Non-Abelian Symmetry / 7.2.1：
σ-Model / 7.2.2：
Nambu-Jona-Lasinio Model / 7.2.3：
Local Gauge Symmetries / Part IV：
Gauge Field Theories / 8：
Conserved Currents in QED / 8.1：
Local Abelian Gauge Invariance / 8.2：
Non-Abelian Gauge Fields / 8.3：
Lagrangian for Non-Abelian Gauge Field Theories / 8.3.1：
Properties of Non-Abelian Gauge Field Theories / 8.3.2：
Spontaneous Symmetry Breaking in Gauge Field Theories / 9：
Higgs Mechanism / 9.1：
Spontaneous Breaking of a Local Non-Abelian Symmetry / 9.2：
Summary of the Higgs Mechanism / 9.3：
Electroweak Interaction / Part V：
Weak Interactions of Quarks and Leptons / 10：
Phenomenological Introduction / 10.1：
Strangeness Changing Weak Decays / 10.1.1：
Neutral Currents / 10.1.2：
Intermediate Vector Bosons / 10.2：
Fundamentals of a Theory of Weak Interactions / 10.3：
Electroweak Interactions of Leptons / 11：
Leptonic Multiplets and Interactions / 11.1：
Electroweak Currents / 11.1.1：
Lepton Masses / 11.2：
Electroweak Interactions / 11.3：
Generalization to Other Leptons / 11.3.1：
Parameters of the Lagrangian / 11.4：
Charged Current Experiments / 11.4.1：
Neutral Current Experiments / 11.4.2：
Electroweak Interactions of Quarks / 12：
Hadronic Multiplets / 12.1：
Hadron Masses / 12.1.1：
Electroweak Interactions of Quarks and Leptons / 13：
Lagrangian of Electroweak Interactions / 13.1：
Standard Model / 13.2：
CP Invariance of Electroweak Interactions / 14：
Kobayashi-Maskawa Matrix / 14.1：
Unitarity of the KM Matrix / 14.2：
K0 Decay and CP Violation / 14.3：
CP Invariance and the KM Matrix / 14.4：
Strong Interaction / Part VI：
Quantum Chromodynamics / 15：
Gauge Group for Strong Interactions / 15.1：
QCD Lagrangian / 15.2：
Properties of QCD / 15.3：
Scale Invariance / 15.3.1：
Chiral Invariance / 15.3.2：
Antishielding and Confinement / 15.3.3：
Deconfinement Phase Transition / 15.3.4：
Hadron Structure / Part VII：
Bag Models of Hadrons / 16：
Potential Well in the Dirac Theory / 16.1：
The MIT Bag / 16.2：
Fermions in the MIT Bag / 16.2.1：
Gluons in the MIT Bag / 16.2.2：
Hyperfine Structure of Bag States / 16.2.4：
Magnetic Moments of the Nucleon / 16.2.5：
Axial Vector Current / 16.2.6：
Chiral Symmetry in the MIT Bag / 16.2.7：
Soliton Models of Hadrons / 17：
Skyrmion Model / 17.1：
Hybrid Chiral Bag Model / 17.2：
Linear 7-Model / 17.3：
Friedberg-Lee Soliton Bag Model / 17.4：
NJL Soliton Model / 17.5：
Appendices / Part VIII：
Solutions of the Free Dirac Equation / A：
Properties of Free Dirac States / A.1：
Dirac and Majorana Fields / A.2：
Explicit Quark States for Hadrons / B：
Table of Hadron Properties / C：
Bibliography by Subject
References
Index
Preliminaries / Part I：
Units and Metric / 1：
Units / 1.1：
2.

図書
図書
2. Mathematical theory of quantum fields
Huzihiro Araki ; translated by Ursula Carow-Watamura
出版情報: Oxford : Oxford University Press, 1999  xii, 236 p. ; 24 cm
シリーズ名: The international series of monographs on physics ; v. 101
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States and observables / 1：
Probabilistic description / 1.1：
Functions of observables / 1.2：
The expectation value of an observable / 1.4：
Mixture and pure states / 1.5：
The physical topology of the states / 1.6：
Equivalent theories / 1.7：
Symmetries / 1.8：
Quantum theory / 2：
The quantum mechanical descrption / 2.1：
Algebraic viewpoint / 2.2：
The representation associated with a state: GNS construction / 2.3：
The symmetries of quantum mechanics / 2.4：
Symmetries from the algebraic point of view / 2.5：
The relativistic symmetry / 3：
Minkowski space / 3.1：
The inhomogeneous Lorentz group / 3.2：
The relativistic symmetry in quantum mechanics / 3.3：
Irreducible representations and one-particle states / 3.4：
Free particle system and Fock space / 3.5：
Energy momentum / 3.6：
Local observables / 4：
General properties of local observables / 4.1：
The vacuum state / 4.2：
Irreducibility / 4.3：
Mass gap and exponential clustering property / 4.4：
The JLD representation / 4.5：
Truncated expectation values and multiple clustering property / 4.6：
Additivity assumption and Reeh-Schlieder theorem / 4.7：
Quantum field theory / 4.8：
From quantum fields to local observables / 4.9：
Scattering theory / 5：
The concept of scattering states and the S-matrix / 5.1：
Description of asymptotic states / 5.2：
Construction of asymptotic states / 5.3：
The counter interpretation of asymptotic states--verification of an appropriate asymptotic behaviour / 5.4：
Asymptotic conditions and reduction formula for the S-matrix / 5.5：
Analyticity and TCP symmetry / 5.6：
Sector theory / 6：
Superselection rules and localized excitations / 6.1：
Localized endomorphisms and sectors / 6.2：
Permutation of excitations and statistics of a sector / 6.3：
Charge conjugate sector / 6.4：
Operator algebra system of fields and gauge groups / 6.5：
Theory of local charges / 6.6：
Hilbert space and operators / Appendix A：
Hilbert space / A.1：
Pre-Hilbert space and completion / A.2：
Orthonormal basis / A.3：
Unitary and antiunitary maps / A.4：
Subspaces and projection operators / A.5：
Direct sum and direct integral / A.6：
Spectral decomposition / A.7：
Trace / A.8：
Unbounded operators / A.9：
One-parameter group of unitary operators / A.10：
Tensor product / A.11：
Operator algebras / Appendix B：
C* algebras / B.1：
Von Neumann algebras / B.2：
Free fields / Appendix C：
Charged scalar field / C.1：
One particle system with positive mass and arbitrary spin / C.2：
Examples of free fields with positive mass and integer spin / C.3：
Examples of free fields with positive mass and half odd integer spin / C.4：
General literature and references
References for Chapter 1
References for Chapter 2
References for Chapter 3
References for Chapter 4
References for Chapter 5
References for Chapter 6
Literature for appendices
Index
States and observables / 1：
Probabilistic description / 1.1：
Functions of observables / 1.2：
3.

図書
図書
3. Quantum field theory for mathematicians (: hbk)
R. Ticciati
出版情報: Cambridge : Cambridge University Press, 1999  xii, 699 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 72
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目次情報: 続きを見る
Relativistic quantum mechanics / 1：
Fock space, the scalar field and canonical quantization / 2：
Symmetries, conserved currents and conserved quantities / 3：
The scattering matrix and Feynmann diagrams / 4：
Differential transition probabilities and predictions / 5：
Representations of the Lorentz group / 6：
Two-component scalar fields / 7：
Four-component scalar fields / 8：
Massive vector fields / 9：
Reformulating scattering theory / 10：
Functional integral quantization / 11：
Quantization of guage theories / 12：
Anomalies of gauge theories / 13：
SU(3) representation theory / 14：
The structure of the standard model / 15：
Hadrons, flavor symmetry and nucleon-pion interactions / 16：
Tree-level applications of the standard model / 17：
Regularization and renormalization / 18：
Renormalization of QED / 19：
Renormalization and preservation of symmetries / 20：
The renormalization group equations / 21：
Relativistic quantum mechanics / 1：
Fock space, the scalar field and canonical quantization / 2：
Symmetries, conserved currents and conserved quantities / 3：
4.

図書
図書
4. Self-consistent quantum field theory and bosonization for strongly correlated electron systems
Rudolf Haussmann
出版情報: Berlin : Springer, c1999  viii, 175 p. ; 24 cm
シリーズ名: Lecture notes in physics ; . New series m, Monographs ; m56
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Introduction
Self-consistent Quantum-Field Theory
Superconductivity and Pairing of Electrons in Three Dimensions
Gauge Transformation and Bosonization
Two-Dimensional Electron System in the FQHE Regime
Further Applications
Introduction
Self-consistent Quantum-Field Theory
Superconductivity and Pairing of Electrons in Three Dimensions
5.

図書
図書
5. Quantum fields and strings : a course for mathematicians (: set ; v. 1 ; v. 2)
Pierre Deligne ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  2 v. (xxii, 1501 p.) ; 27 cm
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目次情報: 続きを見る
Classical Fields and Supersymmetry: Notes on supersymmetry (following Joseph Bernstein) / P. Deligne ; J. W. MorganVolume 1, Part 1：
Notes on spinors
Classical field theory / D. S. Freed
Supersolutions
Sign manifesto
Formal Aspects of QFT: Note on quantization / Volume 1, Part 2：
Introduction to QFT / D. Kazhdan
Perturbative quantum field theory / E. Witten
Index of Dirac operators
Elementary Introduction to quantum field theory / L. Faddeev
Renormalization groups / D. Gross
Note on dimensional regularization / P. Etingof
Homework
Index
Conformal Field Theory and Strings: Lectures on conformal field theory / K. GawedzkiVolume 2, Part 3：
Perturbative string theory / E. D'Hoker
Super space descriptions of super gravity
Notes on 2d conformal field theory and string theory / D. Gaitsgory
Kaluza-Klein compactifications, supersymmetry, and Calabi-Yau spaces / A. Strominger
Dynamical Aspects of QFT: Dynamics of Quantum Field Theory / Volume 2, Part 4：
$N = 1$ supersymmetric field theories in four dimensions / N. Sieberg
Classical Fields and Supersymmetry: Notes on supersymmetry (following Joseph Bernstein) / P. Deligne ; J. W. MorganVolume 1, Part 1：
Notes on spinors
Classical field theory / D. S. Freed
6.

図書
図書
6. Gauge field theories : an introduction with applications (: pbk)
Mike Guidry
出版情報: New York : Wiley, 1999, c1980  xv, 605 p. ; 24 cm
シリーズ名: Wiley science paperback series
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目次情報: 続きを見る
Quantum Field Theory / Part I：
Relativistic Wave Equations / 1.：
Special Relativity and Spacetime / 1.1：
Contravariant and Covariant Vectors / 1.2：
Lorentz Transformations / 1.3：
Klein-Gordon Equation / 1.4：
Dirac Equation / 1.5：
Prescriptions for Negative-Energy States / 1.6：
Feynman Diagrams / 1.7：
Loops, Trees, and Infinities / 1.8：
Background and Further Reading / 1.9：
Canonical Quantization of Local Field Theories / 2.：
Quantization in Discrete Mechanics / 2.1：
General Properties of the Action / 2.2：
Lagrangian Densities for Free Fields / 2.3：
Quantization of the Real Scalar Field / 2.4：
Quantization of a Complex Scalar Field / 2.5：
Quantization of the Dirac Field / 2.6：
Quantization of the Electromagnetic Field / 2.7：
Noether's Theorem / 2.8：
Interactions between Fields / 2.9：
Perturbation Theory and Evaluation of the S-Matrix / 2.10：
Interaction Representation / 3.1：
Definition of the S-Matrix / 3.2：
Interaction Picture Fourier Expansions / 3.3：
Reduction by Wick's Theorem / 3.4：
Example: Self-Coupled Scalar Field / 3.5：
Differential Cross Sections / 3.6：
Example: Spinor Electrodynamics / 3.7：
Graphs That Are Excluded / 3.8：
Feynman Rules for Electrodynamics / 3.9：
Path Integral Quantization / 3.10：
Nonrelativistic Path Integral / 4.1：
Path Integral for Field Theory / 4.2：
Evaluation of Path Integrals / 4.3：
Grassmann Variables / 4.4：
Fermions in the Path Integral / 4.6：
Ghost Fields / 4.7：
Gauge Field Theories / 4.8：
Symmetry and Group Theory / 5.：
Introduction to the Theory of Groups / 5.1：
Lie Groups and Lie Algebras / 5.2：
Unitary Symmetries / 5.3：
Topological Properties / 5.4：
Weak and Electromagnetic Interactions / 5.5：
QED: Prototype Quantum Field Theory / 6.1：
Phenomenology of the Weak Interactions / 6.2：
Problems with the Fermi Phenomenology / 6.3：
Renormalization in QED / 6.4：
Renormalization and Weak Interactions / 6.5：
Yang--Mills Fields / 6.6：
Local Non-Abelian Gauge Invariance / 7.1：
Properties of Yang--Mills Fields / 7.2：
Path-Dependent Representations / 7.3：
Spontaneously Broken Symmetry and the Higgs Mechanism / 7.4：
Classical Symmetry Modes / 8.1：
A Simple Example / 8.2：
Goldstone Bosons / 8.3：
The Higgs Mechanism / 8.4：
Some General Remarks / 8.5：
Standard Electroweak Model / 8.6：
The Electroweak Gauge Group / 9.1：
Standard Model for Leptonic Interactions / 9.2：
Inclusion of Hadrons / 9.3：
Critique of the Standard Theory / 9.4：
The Strong Interactions and Quantum Chromodynamics / 9.5：
Properties of Quarks / 10.1：
Evidence for Gluons / 10.2：
Deep Inelastic Lepton Scattering / 10.3：
Partons / 10.4：
The Quark-Parton Model / 10.5：
Quantum Chromodynamics / 10.6：
Grand Unified Theories / 10.7：
Evolution of Coupling Constants / 11.1：
Minimal Criteria for a GUT Group / 11.2：
The SU (5) Grand Unified Theory / 11.3：
Decay of the Proton / 11.4：
Models and Applications / 11.5：
Models for QCD / 12.：
Confinement Phenomenology / 12.1：
Current Algebra and Chiral Symmetry / 12.2：
Linear [sigma]-Model / 12.3：
Chiral SU(3) [times] SU(3) Symmetry / 12.4：
Bag Models / 12.5：
Nonrelativistic Potential Models / 12.6：
Non-Perturbative Methods in Gauge Field Theories / 12.7：
Lattice Gauge Theory / 13.1：
Topology of Group Manifolds / 13.2：
Solitons in (1+1) Dimensions / 13.3：
Quantization of Solitons / 13.4：
More Dimensions and Derrick's Theorem / 13.5：
Topological Conservation Laws in (2+1) and (3+1) Dimensions / 13.6：
Yang-Mills Instantons / 13.7：
Skyrmions / 13.8：
Deconfined Quarks and Gluons / 13.9：
Deconfining and Chiral Phase Transitions / 14.1：
Simple Thermodynamical Considerations / 14.2：
Debye Screening in the Plasma / 14.3：
Finite Temperature Yang-Mills Theory / 14.4：
Chiral Phase Transition / 14.5：
Hydrodynamics at 1 GeV/Nucleon / 14.6：
Ultrarelativistic Hydrodynamics / 14.7：
Production of Baryon-Poor Plasmas / 14.8：
Experimental Evidence / 14.9：
Cosmology and Gauge Theories / 14.10：
The Hot Big Bang / 15.1：
Baryogenesis / 15.2：
Problems with the Hot Big Bang / 15.3：
Inflationary Cosmologies / 15.4：
Appendices / 15.5：
Natural Units / A.：
Hadronic Properties / B.：
Relativistic Kinematic Variables / C.：
Exercise Solutions / D.：
References
Index
Quantum Field Theory / Part I：
Relativistic Wave Equations / 1.：
Special Relativity and Spacetime / 1.1：
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