现代量子场论简引=MODERN QUANTUM FIELD THEORY：A CONCISE INTRODUCTION 影印版 英文【2025|PDF下载-Epub版本|mobi电子书|kindle百度云盘下载】

现代量子场论简引=MODERN QUANTUM FIELD THEORY：A CONCISE INTRODUCTION 影印版 英文PDF格式电子书版下载

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1 Introduction1

1.1 Preface and conventions1

1.2 Why quantum field theory?3

2 Quantum theory of free scalar fields8

2.1 Localfields10

2.2 Problems for Chapter 213

3 Interacting field theory17

3.1 Schwinger-Dyson equations and functional integrals17

3.2 Functional integral solution of the SD equations20

3.3 Perturbation theory24

3.4 Connected and 1-P(article)I(rreducible)Green functions26

3.5 Legendre's trees28

3.6 The K？llen-Lehmann spectral representation30

3.7 The scattering matrix and the LSZ formula32

3.8 Problems for Chapter 336

4 Particles of spin 1,and gauge invariance38

4.1 Massive spinning particles38

4.2 Massless particles with helicity39

4.3 Field theory for massive spin-1 particles40

4.4 Problems for Chapter 443

5 Spin-1/2 particles and Fermi statistics44

5.1 Dirac,Majorana,and Weyl fields：discrete symmetries49

5.2 The functional formalism for fermion fields56

5.3 Feynman rules for Dirac fermions58

5.4 Problems for Chapter 559

6 Massive quantum electrodynamics62

6.1 Free the longitudinal gauge bosons!64

6.2 Heavy-fermion production in electron-positron annihilation65

6.3 Interaction with heavy fermions：particle paths and external fields68

6.4 The magnetic moment of a weakly coupled charged particle69

6.5 Problems for Chapter 674

7 Symmetries,Ward identities,and Nambu-Goldstone bosons76

7.1 Space-time symmetries78

7.2 Spontaneously broken symmetries81

7.3 Nambu-Goldstone bosons in the semi-classical expansion84

7.4 Low-energy effective field theory of Nambu-Goldstone bosons85

7.5 Problems for Chapter 789

8 Non-abelian gauge theory93

8.1 The non-abelian Higgs phenomenon96

8.2 BRST symmetry97

8.3 A brief history of the physics of non-abelian gauge theory99

8.4 The Higgs model,duality,and the phases of gauge theory101

8.5 Confinement of monopoles in the Higgs phase103

8.6 The electro-weak sector of the standard model113

8.7 Symmetries and symmetry breaking in the strong interactions116

8.8 Anomalies118

8.9 Quantization of gauge theories in the Higgs phase130

8.10 Problems for Chapter 8132

9 Renormalization and effective field theory137

9.1 Divergences in Feynman graphs139

9.2 Cut-offs142

9.3 Renormalization and critical phenomena145

9.4 The renormalization(semi-)group in field theory148

9.5 Mathematical(Lorentz-invariant,unitary)quantum field theory154

9.6 Renormalization ofφ4 field theory156

9.7 Renormalization-group equations in dimensional regularization161

9.8 Renormalization of QED at one loop164

9.9 Renormalization-group equations in QED173

9.10 Why is QED IR-free?178

9.11 Coupling renormalization in non-abelian gauge theory181

9.12 Renormalization-group equations for masses and the hierarchy problem188

9.13 Renormalization-group equations for the S-matrix191

9.14 Renormalization and symmetry193

9.15 The standard model through the lens of renormalization201

9.16 Problems for Chapter 9203

10 Instantons and solitons206

10.1 The most probable escape path206

10.2 Instantons in quantum mechanics207

10.3 Instantons and solitons in field theory213

10.4 Instantons in the two-dimensional Higgs model216

10.5 Monopole instantons in three-dimensional Higgs models221

10.6 Yang-Mills instantons226

10.7 Solitons232

10.8 't Hooft-Polyakov monopoles236

10.9 Problems for Chapter 10239

11 Concluding remarks242

Appendix A Books245

Appendix B Cross sections247

Appendix C Diracology248

Appendix D Feynman rules251

Appendix E Group theory and Lie algebras256

Appendix F Everything else260

References262

Author index268

Subject index269