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1.

図書

図書
[Sidney Coleman] ; foreword by David Kaiser ; editors, Bryan Gin-ge Chen ... [et al.]
出版情報: New Jersey ; Tokyo : World Scientific, c2019  xli, 1152 p. ; 27 cm
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2.

図書

図書
Ilarion V. Melnikov
出版情報: [Cham] : Springer, c2019  xv, 482 p. ; 24 cm
シリーズ名: Lecture notes in physics ; v. 951
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3.

図書

図書
Michael Dütsch
出版情報: [S.l.] : Birkhäuser, c2019  xix, 538 p. ; 25 cm
シリーズ名: Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser ; v. 74
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4.

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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目次情報: 続きを見る
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:
5.

図書

図書
edited by H. Terazawa
出版情報: Singapore ; Philadelphia : World Scientific, c1986  xi, 343 p. ; 23 cm
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6.

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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7.

図書

図書
N.N. Bogoliubov, D.V. Shirkov
出版情報: New York ; London : Interscience Publishers, 1959  xvi, 720 p. ; 24 cm
シリーズ名: Interscience monographs in physics and astronomy ; vol. 3
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8.

図書

図書
A.A. Abrikosov, L.P. Gorkov, I..E. Dzyaloshinski
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1963  xv, 352 p. ; 24 cm
シリーズ名: Selected Russian publications in the mathematical sciences
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9.

図書

図書
V.B. Berestetskiĭ, E.M. Lifshitz, L.P. Pitaevskiĭ ; translated from the Russian by J.B. Sykes and J.S. Bell
出版情報: Oxford : Pergamon Press, c1971-c1974  2 v. (xv, 616 p.) ; 26 cm
シリーズ名: Course of theoretical physics ; v. 4
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10.

図書

図書
B. Sakita
出版情報: Singapore : World Scientific, c1985  xi, 217 p. ; 23 cm
シリーズ名: World Scientific lecture notes in physics ; v. 1
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11.

図書

図書
by Eduard Prugovec̆ki
出版情報: Dordrecht [Holland] ; Boston : D. Reidel , Hingham, MA : Distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 1984  xxi, 302 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 4
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12.

図書

図書
Erhard Seiler
出版情報: Berlin ; New York : Springer-Verlag, 1982  iv, 192 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 159
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13.

図書

図書
edited by M. Jimbo, T. Miwa and A. Tsuchiya
出版情報: Tokyo : Kinokuniya Co., c1988  426 p. ; 24 cm
シリーズ名: Advanced studies in pure mathematics ; 16
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14.

図書

図書
R.J. Rivers
出版情報: Cambridge : Cambridge University Press, 1987  xi, 339 p. ; 24 cm
シリーズ名: Cambridge monographs on mathematical physics
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目次情報: 続きを見る
Preface
Scalar Green functions and their perturbative solutions / 1:
Connected Green functions and their one-particle irreducible components / 2:
Regularisation and renormalisation / 3:
The scalar functional integral / 4:
Series expansions and their summation / 5:
Taking the path integral more seriously / 6:
Quantum theory on non-simply-connected configuration spaces / 7:
Stochastic quantisation / 8:
Fermions / 9:
Quantum electrodynamics / 10:
Non-abelian gauge theories / 11:
Explicit symmetry breaking and its classical limit / 12:
The effective potential / 13:
Field theory at non-zero temperature / 14:
Field theory at non-zero temperature: real-time formulation / 15:
Instantons / 16:
Composite fields and the large-N limit / 17:
References
Index
Preface
Scalar Green functions and their perturbative solutions / 1:
Connected Green functions and their one-particle irreducible components / 2:
15.

図書

図書
L.S. Celenza, C.M. Shakin
出版情報: Singapore : World Scientific, c1986  ix, 238 p. ; 22 cm
シリーズ名: World Scientific lecture notes in physics ; v. 2
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16.

図書

図書
by Eugene R. Speer
出版情報: Princeton, N.J. : Princeton University Press , [Tokyo] : University of Tokyo Press, 1969  120 p. ; 24 cm
シリーズ名: Annals of mathematics studies ; no. 62
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17.

図書

図書
H. Haken
出版情報: Amsterdam ; New York : North-Holland Pub. Co., 1976  xvi, 330 p. ; 24 cm
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18.

図書

図書
Piotr Garbaczewski
出版情報: Singapore ; Philadelphia : World Scientific, c1985  xiii, 244 p. ; 23 cm
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19.

図書

図書
James Glimm, Arthur Jaffe
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xxii, 535 p. ; 24 cm
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20.

図書

図書
Stefan Pokorski
出版情報: Cambridge ; New York : Cambridge University Press, 1987  xii, 394 p. ; 26 cm
シリーズ名: Cambridge monographs on mathematical physics
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21.

図書

図書
R. Rajaraman
出版情報: Amsterdam ; New York : North-Holland , New York, N.Y. : Sole distributors for the USA and Canada, Elsevier Science, 1982  vii, 409 p. ; 23 cm
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目次情報: 続きを見る
Preface cum introduction / 1:
Classical solitons and solitary waves / 2:
Monopoles and such / 3:
Classical instanton solutions / 4:
Quantisation of static solutions / 5:
Functional integrals and the WKB method / 6:
Some exact results / 7:
Collective coordinates and canonical methods / 8:
Semiclassical methods for Fermi fields / 9:
Instantons in quantum theory / 10:
Some more instanton effects / 11:
Appendices
References
Index
Preface cum introduction / 1:
Classical solitons and solitary waves / 2:
Monopoles and such / 3:
22.

図書

図書
T.D.Schultz
出版情報: New York : Gordon and Breach, c1964  viii, 150 p. ; 23 cm
シリーズ名: The many-body problem : current research and reviews / ed. by Irwin Oppenheim ; v. 1
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23.

図書

図書
edited by Harvey R. Brown and Rom Harré
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1988  190 p. ; 23 cm
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目次情報: 続きを見る
Quantum Field Theory as an Object of Philosophical Study: Two Views / Part 1:
A Philosopher Looks at Quantum Field Theory / Michael Redhead1:
Foundational Problems in and Methodological Lessons from Quantum Field Theory / James Cushing2:
The Problems of Virtual Particles and Renormalization / Part 2:
Virtual Particles and the Interpretation of Quantum Field Theory / Robert Weingard3:
Parsing the Amplitudes / Rom Harre4:
Three Problems of Renormalization / Paul Teller5:
Covariance Principles in Quantum Field Theory / Part 3:
Hyperplane-Dependent Quantized Fields and Lorentz Invariance / Gordon Fleming6:
Gauge Theory and the Geometrization of Fundamental Physics / Tian-Yu Cao7:
Mathematical Foundations of Quantum Field Theory / Part 4:
Why Should Anyone Want to Axiomatize Quantum Field Theory? / Ray Streater8:
The Algebraic Approach to Quantum Field Theory / Simon Saunders9:
Quantum Field Theory as an Object of Philosophical Study: Two Views / Part 1:
A Philosopher Looks at Quantum Field Theory / Michael Redhead1:
Foundational Problems in and Methodological Lessons from Quantum Field Theory / James Cushing2:
24.

図書

図書
Edward B. Manoukian
出版情報: New York, N.Y. : Academic Press, 1983  xi, 204 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 106
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25.

図書

図書
Yuri I. Manin ; translated from the Russian by N. Koblitz and J.R. King
出版情報: Berlin ; New York : Springer-Verlag, c1988  x, 295 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 289
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26.

図書

図書
Paul Roman
出版情報: New York : J. Wiley, c1969  xvii, 634 p. ; 23 cm
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27.

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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目次情報: 続きを見る
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:
28.

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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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:
29.

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:
30.

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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31.

図書

図書
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:
32.

図書

図書
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
33.

図書

図書
Walter E. Thirring ; with foreword by Elliott H. Lieb
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 729 p. ; 26 cm
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34.

図書

図書
Ioseph L. Buchbinder and Sergei M. Kuzenko
出版情報: Bristol [U.K.] ; Philadelphia : Institute of Physics Pub., c1998  xx, 656 p. ; 24 cm
シリーズ名: Studies in high energy physics, cosmology and gravitation
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35.

図書

図書
Victor Kac
出版情報: Providence, R.I. : American Mathematical Society, c1998  vi, 201 p. ; 26 cm
シリーズ名: University lecture series ; v. 10
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36.

図書

図書
Pierre Ramond
出版情報: Reading, Mass. : Benjamin/Cummings Pub. Co., Advanced Book Program, 1981  xviii, 397 p. ; 24 cm
シリーズ名: Frontiers in physics ; 51
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37.

図書

図書
Yuri I. Manin ; translated from the Russian by N. Koblitz and J.R. King ; with an appendix by Sergei Merkulov
出版情報: Berlin ; Heidelberg ; New York : Springer, c1997  xii, 346 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 289
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38.

図書

図書
Lochlainn O'Raifeartaigh
出版情報: Princeton, N.J. : Princeton University Press, c1997  ix, 249 p. ; 24 cm
シリーズ名: Princeton series in physics
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目次情報: 続きを見る
Preface
Acknowledgments
Introduction3
Gauge Transformations in Classical Electromagnetism13 / 1:
Gravitation and Electricity24
Aftermath of Einstein's Gravitational Theory38 / 2:
Generalizations of Einstein's Theory44 / 3:
On the Unification Problem of Physics53
Quantum Theory and Five-Dimensional Relativity59
On the Invariant Form of the Wave and Motion Equations for a Charged Point-Mass70
The Renaissance of Weyl's Idea: EM Gauge Theory77 / 4:
On a Remarkable Property of the Quantum-Orbits of a Single Electron87
Quantization as an Eigenvalue Problem91
Quantum-Mechanical Interpretation of Weyl's Theory94
Weyl's Classic, 1929107 / 5:
Electron and Gravitation121
Klein's Serendipity, 1938147 / 6:
On the Theory of Charged Fields152
Pauli's Dimensional Reduction, 1953166 / 7:
Meson-Nucleon Interaction and Differential Geometry171
The Yang-Mills Theory, 1953-54182 / 8:
Isotopic Spin Conservation and a Generalized Gauge Invariance185
Conservation of Isotopic Spin and Isotopic Gauge Invariance186
Shaw's SO(2) Approach, 1954-55197 / 9:
Invariance under General Isotopic Spin Transformations200
Utiyama's General Approach, 1954-55208 / 10:
Invariant Theoretical Interpretation of Interaction213
Conclusion240
References243
Index247
Preface
Acknowledgments
Introduction3
39.

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図書
Victor Kac
出版情報: Providence, R.I. : American Mathematical Society, c1997  viii, 141 p. ; 25 cm
シリーズ名: University lecture series ; v. 10
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40.

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図書
Martin Schottenloher
出版情報: Berlin ; New York : Springer, c1997  viii, 142 p. ; 24 cm
シリーズ名: Lecture notes in physics ; . New series m, Monographs ; m43
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41.

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図書
V.A. Malyshev, R.A. Minlos
出版情報: Providence, R.I. : American Mathematical Society, c1995  viii, 298 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 143
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目次情報: 続きを見る
Introduction
Extended introduction
Construction of a nonequilibrium dynamics
Construction of an equilibrium dynamics
Spectral analysis of the Euclidean field transfer matrix
Asymptotic completeness for interacting fermion systems
The method of Bethe-Salpeter kernels (Dyson's equation)
Guide to the Literature
References
Introduction
Extended introduction
Construction of a nonequilibrium dynamics
42.

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図書
Jean Zinn-Justin
出版情報: Oxford : Clarendon Press, 1996  xxii, 1008 p. ; 25 cm
シリーズ名: The international series of monographs on physics ; 92
Oxford science publications
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43.

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図書
by Efim S. Fradkin and Mark Ya. Palchik
出版情報: Dordrecht ; Boston, Mass. : Kluwer Academic Publishers, c1996  xii, 461 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 376
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44.

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図書
Steven Weinberg
出版情報: Cambridge ; New York : Cambridge University Press, 1996  xxi, 489 p. ; 26 cm
シリーズ名: The quantum theory of fields / Steven Weinberg ; v. 2
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目次情報: 続きを見る
Preface to Volume II
Non-Abelian gauge theories / 15:
External field methods / 16:
Renormalization of gauge theories / 17:
Renormalization group methods / 18:
Spontaneously broken global symmetries / 19:
Operator product expansions / 20:
Spontaneous breaking of gauge symmetries / 21:
Anomalies / 22:
Topological complications / 23:
Subject index
Author index
Preface to Volume II
Non-Abelian gauge theories / 15:
External field methods / 16:
45.

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図書
Silvan S. Schweber ; foreword by Hans A. Bethe
出版情報: New York : Harper & Row, c1961  xiv, 913 p. ; 24 cm
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46.

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図書
by J. McConnell
出版情報: Amsterdam : North-Holland , New York : Sole distributors for U.S.A., Intersience, 1960  xi, 266 p. ; 23 cm
シリーズ名: Series in physics
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47.

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図書
Pietro Fré, Paolo Soriani
出版情報: Singapore : World Scientific, c1995  xiii, 468 p. ; 23 cm
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48.

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図書
Randy A. Baadhio
出版情報: Singapore : World Scientific, c1996  xiv, 270 p. ; 23 cm
シリーズ名: Advanced series in mathematical physics / editors-in-charge, D.H. Phong, S.-T. Yan ; v. 23
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49.

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図書
B. Greene and S.-T. Yau, editors
出版情報: Providence, R.I. : American Mathematical Society , [Cambridge] : International Press, c1997-c1999  v. ; 26 cm
シリーズ名: AMS/IP studies in advanced mathematics ; v. 1, 9
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Construction of mirror manifolds: Geometry and quantum field theory: A brief introduction / B. R. Greene ; H. Ooguri
Constructing mirror manifolds / R. R. Greene
Dual cones and mirror symmetry / V. V. Batyrev ; L. A. Borisov
Mirror symmetry constructions: A review / P. Berglund ; S. Katz
On the elliptic genus and mirror symmetry / M. Henningson
Orbifold Euler characteristic / S.-s. Roan
The structure of moduli space: Phases of $N=2$ theories in two dimensions / E. Witten
Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory / P. S. Aspinwall ; D. R. Morrison
Picard-Fuchs equations, special geometry and target space duality / A. Ceresole ; R. D'Auria ; S. Ferrara ; W. Lerche ; J. Louis ; T. Regge
Resolution of orbifold singularities in string theory
The role of $c_2$ in Calabi-Yau classification-a preliminary survey / P. H. Wilson
Thickening Calabi-Yau moduli spaces / Z. Ran
The deformation space of Calabi-Yau $n$-folds with canonical singularities can be obstructed / M. Gross
Introduction to duality / A. Giveon ; M. Rocek
Non-compact Calabi-Yau spaces and other non-trivial backgrounds for four-dimensional superstrings / E. Kiritsis ; C. Kounnas ; D. Lust
Scaling behavior on the space of Calabi-Yau manifolds / R. Schimmrigk
Enumerative issues and mirror symmetry: Making enumerative predictions by means of mirror symmetry
Mirror symmetry for two parameter models-I / P. Candelas ; X. l. Ossa ; A. Font
Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces / S. Hosono ; A. Klemm ; S. Theisen ; S.-T. Yau
Gromov-Witten classes, quantum cohomology, and enumerative geometry / M. Kontsevich ; Yu. Manin
Holomorphic anomalies in topological field theories / M. Bershadsky ; S. Cecotti ; C. Vafa
Local behavior of Hodge structures at infinity / P. Deligne
Mirror symmetry in higher and lower dimensions: String theory on K3 surfaces
K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds / C. Borcea
Mirror manifolds in higher dimension / M. R. Plesser
Supermanifolds, rigid manifolds and mirror symmetry / S. Sethi
An introduction to mirror manifolds
A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory / X. C. de la Ossa ; P. S. Green ; L. Parkes
Topological mirrors and quantum rings
Mirror manifolds and topological field theory
Rational curves and classification of algebraic varieties / Y. Kawamata
Rational curves on Calabi-Yau threefolds
Picard-Fuchs equations and mirror maps for hypersurfaces
Kahler classes on Calabi-Yau threefolds-An informal survey / P. M. H. Wilson
Automorphic functions and special Kahler geometry / F. Zwirner
Picard-Fuchs equations and flat holomorphic connections from $N = 2$ supergravity
A new geometry from superstring theory / C. A. Lutken
The geometry of Calabi-Yau orbifolds / S.-S. Roan
Properties of superstring vacua from (topological) Landau-Ginzburg models / D.-J. Smit
An $SL(2,\mathbb{C})$ action on certain Jacobian rings and the mirror map / T. Hubsch
A generalized construction of mirror manifolds
New constructions of mirror manifolds: Probing moduli space far from Fermat points
Deformations of Calabi-Yau Kleinfolds
Smoothing 3-folds with trivial canonical bundle and ordinary double points / G. Tian
Modified Calabi-Yau manifolds with torsion
Calabi-Yau threefolds and complex multiplication
Construction of mirror manifolds: Geometry and quantum field theory: A brief introduction / B. R. Greene ; H. Ooguri
Constructing mirror manifolds / R. R. Greene
Dual cones and mirror symmetry / V. V. Batyrev ; L. A. Borisov
50.

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図書
by Pratul Bandyopadhyay
出版情報: Dordrecht : Kluwer, c1996  x, 230 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 386
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目次情報: 続きを見る
Preface
Manifold and Differential Forms / 1:
Spinor Structure and Twistor Geometry / 2:
Quantization / 3:
Quantization and Gauge Field / 4:
Fermions and Topology / 5:
Topological Field Theory / 6:
References
Index
Preface
Manifold and Differential Forms / 1:
Spinor Structure and Twistor Geometry / 2:
51.

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図書
Hiroomi Umezawa
出版情報: New York : American Institute of Physics, 1995  xii, 238 p. ; 24 cm
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52.

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図書
by Edward Nelson
出版情報: Princeton, N.J. : Princeton University Press, 1985  viii, 146 p. ; 24 cm
シリーズ名: Princeton series in physics
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53.

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図書
by Khavtgain Namsrai
出版情報: Dordrecht ; Boston : D. Reidel Pub. Co , Hingham : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1986  xviii, 426 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 13
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54.

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図書
B. de Wit and J. Smith
出版情報: Amsterdam ; Tokyo : North-Holland , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., c1986-  v. ; 23 cm
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目次情報: 続きを見る
Classical field theory / 1:
Feynman diagrams for spinless fields / 2:
Cross sections and decay rates / 3:
Particles with spin one / 4:
Particles with spin one-half / 5:
Cross sections for processes involving fermions / 6:
Quantum corrections / 7:
Dimensional regularization and radiative corrections / 8:
Asymptotic behaviour / 9:
Appendices
Classical field theory / 1:
Feynman diagrams for spinless fields / 2:
Cross sections and decay rates / 3:
55.

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図書
[by] M. Gourdin
出版情報: New York : Gordon and Breach, c1969  viii, 100 p. ; 24 cm
シリーズ名: Documents on modern physics
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56.

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図書
Roberto Fernández, Jürg Fröhlich, Alan D. Sokal
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  xiii, 444 p. ; 24 cm
シリーズ名: Texts and monographs in physics
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57.

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図書
Mark S. Swanson
出版情報: Boston ; Tokyo : Academic Press, c1992  xii, 444 p. ; 24 cm
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58.

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図書
Fröhlich, Jürg
出版情報: Singapore : World Scientific, c1992  ix, 841 p. ; 26 cm
シリーズ名: Advanced series in mathematical physics ; v. 15
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59.

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図書
T-Y Wu, W-Y Pauchy Hwang
出版情報: Singapore ; Teaneck, N.J. : World Scientific, 1991  xiii, 405 p. ; 22 cm
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60.

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図書
editors, P.I. Pronin and Yu N. Obukhov
出版情報: Singapore ; Teaneck : World Scientific, c1991  viii, 348 p. ; 23 cm
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61.

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図書
Charles Nash
出版情報: London ; Tokyo : Academic Press, c1991  xi, 386 p. ; 24 cm
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目次情報: 続きを見る
A Topological Preliminary
Elliptic Operators
Cohomology of Sheaves and Bundles
Index Theory for Elliptic Operators
Some Algebraic Geometry
Infinite Dimensional Groups
Morse Theory
Instantons and Monopoles
The Elliptic Geometry of Strings
Anomalies
Conformal Quantum Field Theories
Topological Quantum Field Theories
References
A Topological Preliminary
Elliptic Operators
Cohomology of Sheaves and Bundles
62.

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図書
Michio Kaku
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xiv, 535 p. ; 25 cm
シリーズ名: Graduate texts in contemporary physics
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63.

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図書
by Walter T. Grandy, Jr
出版情報: New York : Academic Press, 1970  xiii, 284 p. ; 24 cm
シリーズ名: Pure and applied physics : a series of monographs and textbooks ; v. 34
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64.

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図書
Othmar Steinmann
出版情報: Berlin ; New York : Springer-Verlag, 1971  126 p. ; 26 cm
シリーズ名: Lecture notes in physics ; 11
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65.

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図書
Brian Hatfield
出版情報: Redwood City, Calif. ; Tokyo : Addison-Wesley, c1992  xvii, 734 p. ; 24 cm
シリーズ名: Frontiers in physics ; v. 75
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66.

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図書
Lowell S. Brown
出版情報: Cambridge : Cambridge University Press, 1992  xiv, 542 p. ; 26 cm
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Quantum mechanics, functional integrals / 1:
Many-particle systems / 2:
Elementary scalar field theory / 3:
Elementary processes / 4:
Renormalization / 5:
Structural aspects / 6:
Fields with spin / 7:
QED / 8:
Bibliography
Index
Quantum mechanics, functional integrals / 1:
Many-particle systems / 2:
Elementary scalar field theory / 3:
67.

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図書
John C. Baez, Irving E. Segal, Zhengfang Zhou
出版情報: Princeton, N.J. : Princeton University Press, c1992  xvii, 291 p. ; 24 cm
シリーズ名: Princeton series in physics
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68.

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図書
F.A. Smirnov
出版情報: Singapore : World Scientific, c1992  xi, 208 p. ; 23 cm
シリーズ名: Advanced series in mathematical physics / editor-in-charge, D.H. Phong, S.-T. Yan ; v. 14
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69.

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図書
L.D. Faddeev and A.A. Slavnov ; translated from the Russian edition by G.B. Pontecorvo
出版情報: Redwood City, Calif. ; Tokyo : Addison-Wesley Pub. Co., c1991  xvii, 217 p. ; 25 cm
シリーズ名: Frontiers in physics ; v. 83
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70.

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図書
by V.G. Bagrov and D.M. Gitman
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1990  x, 323 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 39
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71.

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図書
O.I. Zavialov
出版情報: Dordrecht [Netherlands] ; Boston : Kluwer Academic Publishers, c1990  xii, 524 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 21
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72.

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図書
by E. M. Corson
出版情報: London : Blackie, 1953  xii, 221 p. ; 26 cm
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73.

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A. Ranfagni ... [et al]
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1990  xi, 226 p. ; 24 cm
シリーズ名: World Scientific lecture notes in physics ; v. 36
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74.

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図書
Walter T. Grandy, Jr
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1991  xii, 438 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 41
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75.

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V.K. Dobrev ... [et al.]
出版情報: Berlin ; New York : Springer-Verlag, 1977  x, 280 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 63
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76.

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図書
Edward G. Harris
出版情報: New York : Wiley-Interscience, c1972  xii, 167 p. ; 23 cm
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77.

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by John Avery
出版情報: New York : McGraw-Hill, c1976  xii, 221 p. ; 25 cm
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78.

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図書
Norman E. Hurt
出版情報: Dordrecht, Holland ; Boston : D. Reidel Pub. Co. , Hingham, MA : Sold and distributed in the U.S.A. by Kluwer Boston, c1983  xiv, 336 p. ; 23 cm
シリーズ名: Mathematics and its applications ; v. 8
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79.

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図書
[by] A. A. Abrikosov, L. P. Gorʹkov, and I. Ye. Dzyaloshinskii. ; translated from the Russian by D. E. Brown ; English translation edited by D. ter Haar
出版情報: Oxford ; New York : Pergamon Press, 1965  xii, 365 p. ; 24 cm
シリーズ名: International series of monographs in natural philosophy ; v. 4
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80.

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by S.S. Horuzhy
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1990  xi, 301 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 19
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81.

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S.J. Chang
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1990  xii, 382 p. ; 24 cm
シリーズ名: World Scientific lecture notes in physics ; v. 29
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82.

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図書
edited by L. Lusanna
出版情報: Singapore : World Scientific, c1989  viii, 652 p. ; 23 cm
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83.

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図書
D.M. Gitman, I.V. Tyutin
出版情報: Berlin ; New York : Springer-Verlag, c1990  x, 291 p. ; 25 cm
シリーズ名: Springer series in nuclear and particle physics
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84.

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図書
Jan Łopuszánski
出版情報: Singapore : World Scientific, c1991  xii, 373 p. ; 23 cm
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85.

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図書
N.D. Birrell and P.C.W. Davies
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984  ix, 340 p. ; 23 cm
シリーズ名: Cambridge monographs on mathematical physics ; no. 7
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目次情報: 続きを見る
Preface
Conventions and abbreviations
Introduction / 1:
Quantum field theory in Minkowski space / 2:
Scalar field / 2.1:
Quantization / 2.2:
Energy-momentum / 2.3:
Vacuum energy divergence / 2.4:
Dirac spinor field / 2.5:
Electromagnetic field / 2.6:
Green functions / 2.7:
Path-integral quantization / 2.8:
Quantum field theory in curved spacetime / 3:
Spacetime structure / 3.1:
Scalar field quantization / 3.2:
Meaning of the particle concept: particle detectors / 3.3:
Cosmological particle creation: a simple example / 3.4:
Adiabatic vacuum / 3.5:
Adiabatic expansion of Green functions / 3.6:
Conformal vacuum / 3.7:
Fields of arbitrary spin in curved spacetime / 3.8:
Flat spacetime examples / 4:
Cylindrical two-dimensional spacetime / 4.1:
Use of Green functions / 4.2:
Boundary effects / 4.3:
Moving mirrors / 4.4:
Quantum field theory in Rindler space / 4.5:
Curved spacetime examples / 5:
Robertson-Walker spacetimes / 5.1:
Static Robertson-Walker spacetimes / 5.2:
The Milne universe / 5.3:
De Sitter space / 5.4:
Classification of conformal vacua / 5.5:
Bianchi I spacetimes and perturbation theory / 5.6:
Stress-tensor renormalization / 6:
The fundamental problem / 6.1:
Renormalization in the effective action / 6.2:
Conformal anomalies and the massless case / 6.3:
Computing the renormalized stress-tensor / 6.4:
Other regularization methods / 6.5:
Physical significance of the stress-tensor / 6.6:
Applications of renormalization techniques / 7:
Two-dimensional examples / 7.1:
Robertson-Walker models / 7.2:
Perturbation calculation of the stress-tensor / 7.3:
Cosmological considerations / 7.4:
Quantum black holes / 8:
Particle creation by a collapsing spherical body / 8.1:
Physical aspects of black hole emission / 8.2:
Eternal black holes / 8.3:
Analysis of the stress-tensor / 8.4:
Further developments / 8.5:
Interacting fields / 9:
Calculation of S-matrix elements / 9.1:
Self-interacting scalar field in curved spacetime / 9.2:
Particle production due to interaction / 9.3:
Other effects of interactions / 9.4:
References
Index
Preface
Conventions and abbreviations
Introduction / 1:
86.

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図書
K. Nishijima
出版情報: New York : W.A. Benjamin, 1964, c1963  xi, 408 p ; 23 cm
シリーズ名: Lecture notes and supplements in physics
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87.

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図書
edited by Louis Witten
出版情報: New York : Wiley, c1962  x, 481 p. ; 24 cm
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88.

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図書
Ernest M. Henley, Walter Thirring
出版情報: New York : McGraw-Hill, 1962  ix, 277 p. ; 24 cm
シリーズ名: International series in pure and applied physics
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89.

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図書
Robert Hermann
出版情報: New York : W.A. Benjamin, c1970  xvi, 320 p. ; 23 cm
シリーズ名: Mathematics lecture note series
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90.

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図書
R.L. Ingraham
出版情報: New York : Gordon and Breach, c1967  xv, 181 p. ; 24 cm
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91.

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図書
D.A. Kirzhnit︠s︡ ; translated by A.J. Meadows ; edited by D.M. Brink
出版情報: Oxford ; New York : Pergamon Press, [1967]  xvi, 394 p. ; 23 cm
シリーズ名: International series of monographs in natural philosophy ; v. 8
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92.

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図書
edited by Lewis Klein
出版情報: New York : Gordon and Breach, c1961  x, 273 p. ; 24 cm
シリーズ名: International science review series ; v. 1
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93.

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図書
Franz Mandl
出版情報: New York : Interscience Publishers, c1959  202 p. ; 24 cm
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94.

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図書
by Yu. V. Novozhilov and A.V. Tulub. With an introductory article, Equations with variational derivatives in problems of statistical physics and of quantum field theory, by N.N. Bogolyubov
出版情報: New York : Gordon and Breach, c1961  79 p ; 23 cm
シリーズ名: Russian tracts on advanced mathematics and physics ; v. 5
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95.

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図書
by K. L. Nagy
出版情報: Groningen : P. Noordhoff, 1966  x, 131 p ; 21 cm
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96.

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図書
edited by G.R. Screaton
出版情報: Edinburgh : Oliver and Boyd , New York : Interscience Publishers, [1961]  xiii, 290 p ; 26 cm
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97.

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図書
by Y. Takahashi
出版情報: Oxford ; New York : Pergamon Press, 1969  xi, 298 p. ; 24 cm
シリーズ名: International series of monographs in natural philosophy ; v. 20
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98.

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図書
by A. Visconti ; translated by H. Bacry and C.M. Hancock
出版情報: Oxford ; New York : Pergamon Press, c1969  xxii, 289 p. ; 23 cm
シリーズ名: International series of monographs in natural philosophy ; v. 23
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99.

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図書
by Barry Simon
出版情報: Princeton, N.J. : Princeton University Press, 1974  xx, 392 p. ; 25 cm
シリーズ名: Princeton series in physics
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100.

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図書
edited by H.D. Doebner, J.D. Hennig, T.D. Palev
出版情報: Singapore : World Scientific, c1989  vii, 128 p. ; 23 cm
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