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1.

図書

図書
Günter Scharf
出版情報: New York : J. Wiley, c2001  xi, 245 p. ; 25 cm
シリーズ名: A Wiley-Interscience publication
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Preface
Free fields / 1:
Bosonic scalar fields / 1.1:
Ferminoic scalar (ghost) fields / 1.2:
Massless vector fields / 1.3:
Operator gauge transformations / 1.4:
Massive vector fields / 1.5:
Fermionic vector (ghost) fields / 1.6:
Tensor fields / 1.7:
Spinor fields / 1.8:
Normally ordered products in free fields / 1.9:
Problems / 1.10:
Causal perturbation theory / 2:
The S-matrix in quantum mechanics / 2.1:
The method of Epstein and Glaser / 2.2:
Splitting of causal distributions in x-space / 2.3:
Splitting in momentum space / 2.4:
Calculation of tree graphs / 2.5:
Calculation of loop graphs / 2.6:
Normalizability / 2.7:
Spin-1 gauge theories: massless gauge fields / 2.8:
Perturbative gauge invariance / 3.1:
Self-coupling of gauge fields / 3.2:
Divergence and coboundary couplings / 3.3:
Yang-Mills theory to second order / 3.4:
Reductive Lie algebras / 3.5:
Coupling to matter fields / 3.6:
Gauge invariance to all orders / 3.7:
Unitarity / 3.8:
Other gauges / 3.9:
Gauge independence / 3.10:
Appendix A: Cauchy problem for the iterated wave equation / 3.11:
Spin-1 gauge theories: massive gauge fields / 3.12:
Massive QED and Abelian Higgs model / 4.1:
General massive gauge theory / 4.2:
First-order gauge invariance / 4.3:
Second-order gauge invariance / 4.4:
Third-order gauge invariance / 4.5:
Derivation of the electroweak gauge theory / 4.6:
Coupling to leptons / 4.7:
More fermionic families / 4.8:
Gauge invariance to third order: axial anomalies / 4.9:
Spin-2 gauge theory / 4.10:
Perturbative gauge invariance with tensor fields / 5.1:
The general spin-2 theory / 5.2:
Classification of spin-2 quantum gauge theories / 5.3:
Expansion of the Einstein-Hilbert Lagrangian / 5.5:
Q-vertex / 5.6:
Second-order gauge invariance: graviton sector / 5.7:
Second-order gauge invariance: ghost sector / 5.8:
Coupling to matter / 5.9:
Radiative corrections / 5.10:
Appendix B: Divergence couplings for gravity / 5.11:
Appendix C: General Q-vertex for quantum gravity / 5.12:
Bibliographical Notes / 5.13:
Index
Preface
Free fields / 1:
Bosonic scalar fields / 1.1:
2.

図書

図書
V.G. Kiselev ... [et al.] ; edited for English by M.J. Lilley and C.J. Houghton
出版情報: Amsterdam : Gordon and Breach Science Publishers, c2000  xx, 435 p. ; 24 cm
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3.

図書

図書
V. Parameswaran Nair
出版情報: New York : Springer, c2005  xiv, 557 p. ; 24 cm
シリーズ名: Graduate texts in contemporary physics
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Results in Relativistic Quantum Mechanics
The Construction of Fields
Canonical Quantization
Commutators and Propagators
Interactions and the S-Matrix
The Electromagnetic Field
Examples of Scattering Processes
Functional Integral Representations
Renormalization
Gauge Theories
Symmetry
Spontaneous Symmetry Breaking
Anamolies I
Elements of Differential Geometry
Path Integrals
Gauge Theory: Configuration Space
Anamolies II
Finite Temperatire and Density
Gauge Theory: Nonperturbative Questions
Elements of Geometric Quantization
Appendix: Relativistic Invariance
Results in Relativistic Quantum Mechanics
The Construction of Fields
Canonical Quantization
4.

図書

図書
Luis Álvarez-Gaumé, Miguel Á. Vázquez-Mozo
出版情報: Berlin : Springer, c2012  xi, 294 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 839
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5.

図書

図書
Yorikiyo Nagashima
出版情報: Weinheim : Wiley-VCH, c2010  xxii, 942 p. ; 25 cm
シリーズ名: Elementary particle physics / Yorikiyo Nagashima ; v. 1
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A Field Theoretical Approach / Part I:
Introduction / 1:
Particles and Fields / 2:
Lorentz Invariance / 3:
Dirac Equation / 4:
Field Quantization / 5:
Scattering Matrix / 6:
QED: Quantum Electrodynamics / 7:
Radiative Corrections and Tests of Qed / 8:
Symmetries / 9:
Path Integral: Basics / 10:
Path Integral Approach to Field Theory / 11:
Accelerator and Detector Technology / 12:
A Way to the Standard Model / Part II:
Spectroscopy / 13:
The Quark Model / 14:
Weak Interaction / 15:
Neutral Kaons and CP Violation / 16:
Hadron Structure / 17:
Gauge Theories / 18:
Epilogue / 19:
Appendices
Spinor Representation / A:
Coulomb gauge / B:
Dirac matrix and gamma matrix traces / C:
Dimensional Regularization / D:
Rotation Matrix / E:
C,P,T Transformation / F:
SU(3), SU(N) and the Quark Model / G:
Mass Matix and Decaying States / H:
A Field Theoretical Approach / Part I:
Introduction / 1:
Particles and Fields / 2:
6.

図書

図書
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:
7.

図書

図書
John R. Klauder
出版情報: Cambridge : Cambridge University Press, 2000  xv, 318 p. ; 26 cm
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8.

図書

図書
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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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:
9.

図書

図書
Gordon Semenoff, Luc Vinet, editors
出版情報: New York : Springer, c1999  xvi, 489 p. ; 24 cm
シリーズ名: CRM series on mathematical physics
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10.

図書

図書
Steven Weinberg
出版情報: Cambridge ; New York : Cambridge University Press, 2000  xxii, 419 p. ; 26 cm
シリーズ名: The quantum theory of fields / Steven Weinberg ; v. 3
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Preface to Volume III
Notation
Historical introduction / 24:
Supersymmetry algebras / 25:
Supersymmetric field theories / 26:
Supersymmetric gauge theories / 27:
Supersymmetric versions of the standard model / 28:
Beyond perturbation theory / 29:
Supergraphs / 30:
Supergravity / 31:
Supersymmetry in higher dimensions / 32:
Author index
Subject index
Preface to Volume III
Notation
Historical introduction / 24:
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