QUARKS, LEPTONS AND GAUGE FIELDS (2ND EDITION)

by Kerson Huang

• ISBN13: 9789810206604
• ISBN10: 9810206607
• Format: Nonspecific Binding
• Copyright: 1992-10-28
• Publisher: World Scientific Publishing

Table of Contents

Preface
Introduction	p. 1
Particles and Interactions	p. 1
Gauge Theories of Interactions	p. 6
Notations and Conventions	p. 10
Quarks	p. 12
Internal Symmetries	p. 12
Representation of SU(3)	p. 17
The Quark Model	p. 22
Color	p. 28
Electromagnetic and Weak Probes	p. 33
Charm	p. 43
Maxwell Field: U(1) Gauge Theory	p. 47
Global and Local Gauge Invariance	p. 47
Spontaneous Breaking of Global Gauge Invariance: Goldstone Mode	p. 50
Spontaneous Breaking of Local Gauge Invariance: Higgs Mode	p. 53
Classical Finite-Energy Solutions	p. 55
Magnetic Flux Quantization	p. 56
Soliton Solutions: Vortex Lines	p. 58
Yang-Mills Fields: Non-Abelian Gauge Theories	p. 61
Introductory Note	p. 61
Lie Groups	p. 61
The Yang-Mills Constructions	p. 67
Properties of Yang-Mills Fields	p. 72
Canonical Formalism	p. 77
Spontaneous Symmetry Breaking	p. 80
Topological Solitons	p. 86
Solotons	p. 86
The Instanton	p. 88
The Monopole	p. 94
Weinberg-Salam Model	p. 105
The Matter Fields	p. 105
The Gauge Fields	p. 108
The General Theory	p. 113
Method of Path-Integrals	p. 121
Non-Relativistic Quantum Mechanics	p. 121
Quantum Field Theory	p. 126
External Sources	p. 128
Euclidean 4-Space	p. 132
Calculation of Path Integrals	p. 134
The Feynman Propagator	p. 135
Feynman Graphs	p. 137
Boson Loops and Fermion Loops	p. 140
Fermion Fields	p. 142
Quantization of Gauge Fields	p. 147
Canonical Quantization	p. 147
Path Integral Method in Hamiltonian Form	p. 150
Feynman Path Integral: Fadeev-Popov Method	p. 152
Free Maxwell Field	p. 156
Pure Yang-Mills Fields	p. 162
The [theta]-World and the Instanton	p. 165
Gribov Ambiguity	p. 172
Projection Operator for Gauss' Law	p. 174
Renormalization	p. 177
Charge Renormalization	p. 177
Perturbative Renormalization in Quantum electrodynamics	p. 180
The Renormalization Group	p. 183
Scalar Fields	p. 188
The Physics of Renormalization	p. 192
Appendix to Chapter 9: Renormalization of QED	p. 201
Method of Effective Potential	p. 210
Spontaneous Symmetry Breaking	p. 210
The Effective Action	p. 210
The Effective Potential	p. 212
The Loop Expansion	p. 215
One-Loop Effective Potential	p. 218
Renormalization	p. 219
Dimensional Transmutation	p. 223
A Non-Relativistic Example	p. 225
Application to Weinberg-Salam Model	p. 227
The Axial Anomaly	p. 230
Origin of the Axial Anomaly	p. 230
The Triangle Graph	p. 231
Anomalous Divergence of the Chiral Current	p. 237
Physical Explanation of the Axial Anomaly	p. 238
Cancellation of Anomalies	p. 242
't Hooft's Principle	p. 247
Quantum Chromodynamics	p. 252
General Properties	p. 252
The Color Gyromagnetic Ratio	p. 260
Asymptotic Freedom	p. 262
The Pion as Goldstone Boson	p. 269
The U(1) Puzzle	p. 276
[theta]-Worlds in QCD	p. 278
Lattice Gauge Theory	p. 288
Wilson's Lattice Action	p. 288
Transfer Matrix	p. 291
Lattice Hamiltonian	p. 293
Lattice Fermions	p. 297
Wilson Loop and Confinement	p. 299
Continuum Limit	p. 303
Monte Carlo Methods	p. 304
Quark Confinement	p. 308
Wilson Criterion and Electric Confinement	p. 308
String Model of Hadrons	p. 311
Superconductivity: Magnetic Confinement	p. 312
Electric and Magnetic Order Parameters	p. 316
Scenario for Quark Confinement	p. 319
Appendix to Chapter 14: Symmetry and Confinement	p. 322
Index	p. 327
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