Gauge theory of elementary particle physics

Gauge Theory Of Elementary Particle Physics......Page 1
Half-Title......Page 2
Title-Page......Page 4
Copyright......Page 5
Preface......Page 6
Contents......Page 10
Part I......Page 14
1 Basics In Field Quantization......Page 16
1.1 Review Of Canonical Quantization Formalism......Page 17
1.2 Introduction To Path Integral Formalism......Page 24
1.3 Fermion Field Quantization......Page 35
2 Introduction To Renormalization Theory......Page 43
2.1 Conventional Renormalization In  Lambda-Phi-4 Theory......Page 44
2.2 BPH Renormalization In lambda-Phi-4 Theory......Page 52
2.3 Regularization Schemes......Page 58
2.4 Power Counting And Renormalizability......Page 69
3.1 Momentum Subtraction Schemes And The Callan-Symanzik Equation......Page 80
3.2 The Minimal Subtraction Scheme And Its Renormalization Group Equation......Page 90
3.3 Effective Coupling Constants......Page 94
4.1 Elements Of Group Theory......Page 99
4.2 SU(2) And SU(3)......Page 103
4.3 The Tensor Method In SU(n)......Page 115
4.4 The Quark Model......Page 126
5 Chiral Symmetry Of The Strong Interaction......Page 138
5.1 Global Symmetries In Field Theory And Current Commutators......Page 139
5.2 Symmetry Currents As Physical Currents......Page 147
5.3 Spontaneous Breaking Of Global Symmetry, The Goldstone Theorem......Page 154
5.4 PCAC And Soft Pion Theorems......Page 164
5.5 Pattern Of Chiral Symmetry Breaking......Page 173
6.1 The Vector-Current Ward Identity And Renormalization......Page 182
6.2 Axial-Vector-Current Ward Identity Anomaly And Neutral Pion To 2 Photon Decays......Page 186
6.3 Renormalization In Theories With Spontaneous Symmetry Breaking......Page 195
6.4 The Effective Potential And Radiatively Induced Spontaneous Symmetry Breakdown......Page 202
7.1 The Parton Model Of Deep Inelastic Lepton-Hadron Scattering......Page 212
7.2 Sum Rules And Applications Of The Quark-Parton Model......Page 221
7.3 Free-Field Light-Cone Singularities And Bjorken Scaling......Page 231
Part II......Page 240
8.1 Local Symmetries In Field Theory......Page 242
8.2 Gauge Invariance And Geometry......Page 248
8.3 Spontaneous Breaking Of Gauge Symmetry, The Higgs Phenomenon......Page 253
9.1 Path Integral Quantization Of Gauge Theories......Page 261
9.2 Feynman Rules In Covariant Gauges......Page 270
9.3 The Slavnov-Taylor Identities......Page 280
10 Quantum Chromodynamics......Page 292
10.1 The Discovery Of Asymptotic Freedom......Page 293
10.2 The QCD Lagrangian And The Symmetries Of The Strong Interaction......Page 304
10.3 Renormalization Group Analysis Of Scaling And Scaling Violation......Page 308
10.4 The Parton Model And Perturbative QCD......Page 324
10.5 Lattice Gauge Theory And Colour Confinement......Page 335
11.1 Weak Interactions Before Gauge Theory......Page 349
11.2 Construction Of The Standard SU(2) x U(1) Theory......Page 352
11.3 Fermion Family Replication......Page 368
12.1 Flavour-Conserving Neutral-Current Processes......Page 377
12.2 Weak Mixing Angles, The GIM Mechanism, And CP Violation......Page 384
12.3 The W And Z Intermediate Vector Bosons......Page 399
12.4 The Higgs Particle......Page 407
13.1 Dynamical Symmetry Breaking And Technicolour Models......Page 414
13.2 Neutrino Masses, Mixings, And Oscillations......Page 422
13.3 Muon-To-Electron/Photon, An Example Of R-xi-Gauge Loop Calculations......Page 433
14.1 Introduction To The SU(5) Model......Page 441
14.2 Spontaneous Symmetry Breaking And Gauge Hierarchy......Page 447
14.3 Coupling Constant Unification......Page 450
14.4 Proton Decay And Baryon Asymmetry In The Universe......Page 455
14.5 Fermion Masses And Mixing Angles In The Minimal SU(5) Model......Page 460
15.1 Dirac\'s Theory Of Magnetic Poles......Page 466
15.2 Solitons In Field Theory......Page 473
15.3 The \'t Hooft-Polyakov Monopole......Page 479
16.1 The Topology Of Gauge Transformations......Page 489
16.2 The Instanton And Vacuum Tunnelling......Page 495
16.3 Instantons And The U(1) Problem......Page 500
Appendix A Notations And Conventions......Page 507
Appendix B Feynman Rules......Page 511
Bibliography......Page 526
References......Page 530
Index......Page 540
Back Cover......Page 550