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量子场论 第1卷 英文PDF|Epub|txt|kindle电子书版本网盘下载
- 温伯格（StevenWeinberg）著 著
- 出版社： 世界图书出版公司北京公司
- ISBN：9787510075872
- 出版时间：2014
- 标注页数：609页
- 文件大小：73MB
- 文件页数：634页
- 主题词：量子场论－英文
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图书目录
1 HISTORICAL INTRODUCTION1
1.1 Relativistic Wave Mechanics3
1.2 The Birth of Quantum Field Theory15
1.3 The Problem of Infinities31
Bibliography39
References40
2 RELATIVISTIC QUANTUM MECHANICS49
2.1 Quantum Mechanics49
2.2 Symmetries50
2.3 Quantum Lorentz Transformations55
2.4 The Poincaré Algebra58
2.5 One-Particle States62
2.6 Space Inversion and Time-Reversal74
2.7 Projective Representations81
Appendix A The Symmetry Representation Theorem91
Appendix B Group Operators and Homotopy Classes96
Appendix C Inversions and Degenerate Multiplets100
Problems104
References105
3 SCATTERING THEORY107
3.1 'In'and'Out'States107
3.2 The S-matrix113
3.3 Symmetries of the S-Matrix116
3.4 Rates and Cross-Sections134
3.5 Perturbation Theory141
3.6 Implications of Unitarity147
3.7 Partial-Wave Expansions151
3.8 Resonances159
Problems165
References166
4 THE CLUSTER DECOMPOSITION PRINCIPLE169
4.1 Bosons and Fermions170
4.2 Creation and Annihilation Operators173
4.3 Cluster Decomposition and Connected Amplitudes177
4.4 Structure of the Interaction182
Problems189
References189
5 QUANTUM FIELDS AND ANTIPARTICLES191
5.1 Free Fields191
5.2 Causal Scalar Fields201
5.3 Causal Vector Fields207
5.4 The Dirac Formalism213
5.5 Causal Dirac Fields219
5.6 General Irreducible Representations of the Homogeneous Lorentz Group229
5.7 Geueral Causal Fields233
5.8 The CPT Theorem244
5.9 Massless Particle Fields246
Problems255
References256
6 THE FEYNMAN RULES259
6.1 Derivation of the Rules259
6.2 Calculation of the Propagator274
6.3 Momentum Space Rules280
6.4 Off the Mass Shell286
Problems290
References291
7 THE CANONICAL FORMALISM292
7.1 Canonical Variables293
7.2 The Lagrangian Formalism298
7.3 Global Symmetries306
7.4 Lorentz Onvariance314
7.5 Transition to Interaction Picture:Examples318
7.6 Constraints and Dirac Brackets325
7.7 Field Redefinitions and Redundant Couplings331
Appendix Dirac Brackets from Canonical Commutators332
Problems337
References338
8 ELECTRODYNAMICS339
8.1 Gauge Invariance339
8.2 Constraints and Gauge Conditions343
8.3 Quantization in Coulomb Gauge346
8.4 Electrodynamics in the Interaction Picture350
8.5 The Photon Propagator353
8.6 Feynman Rules for Spinor Electrodynamics355
8.7 Compton Scattering362
8.8 Generalization:p-form Gauge Fields369
Appendix Traces372
Problems374
References375
9 PATH-INTEGRAL METHODS376
9.1 The General Path-Integral Formula378
9.2 Transition to the S-Matrix385
9.3 Lagrangian Version of the Path-Integral Formula389
9.4 Path-Integral Derivation of Feynman Rules395
9.5 Path Integrals for Fermions399
9.6 Path-Integral Formulation of Quantum Electrodynamics413
9.7 Varieties of Statistics418
Appendix Gaussian Multiple Integrals420
Problems423
References423
10 NON-PERTURBATIVE METHODS425
10.1 Symmetries425
10.2 Polology428
10.3 Field and Mass Renormalization436
10.4 Renormalized Charge and Ward Identities442
10.5 Gauge Invariance448
10.6 Electromagnetic Form Factors and Magnetic Moment452
10.7 The K？llen-Lehmann Representation457
10.8 Dispersion Relations462
Problems469
References470
11 ONE-LOOP RADIATIVE CORRECTIONS IN QUANTUM ELECTRODYNAMICS472
11.1 Counterterms472
11.2 Vacuum Polarization473
11.3 Anomalous Magnetic Moments and Charge Radii485
11.4 Electron Self-Energy493
Appendix Assorted Integrals497
Problems498
References498
12 GENERAL RENORMALIZATION THEORY499
12.1 Degrees of Divergence500
12.2 Cancellation of Divergences505
12.3 Is Renormalizability Necessary?516
12.4 The Floating Cutoff525
12.5 Accidental Symmetries529
Problems531
References532
13 INFRARED EFFECTS534
13.1 Soft Photon Amplitudes534
13.2 Virtual Soft Photons539
13.3 Real Soft Photons;Cancellation of Divergences544
13.4 General Infrared Divergences548
13.5 Soft Photon Scattering553
13.6 The External Field Approximation556
Problems562
References562
14 BOUND STATES IN EXTERNAL FIELDS564
14.1 The Dirac Equation565
14.2 Radiative Corrections in External Fields572
14.3 The Lamb Shift in Light Atoms578
Problems594
References595
AUTHOR INDEX597
SUBJECT INDEX602