Gauge Theory of Elementary Particle Physics

by Ta-Pei Cheng; Ling-Fong Li

• ISBN13: 9780198519614
• ISBN10: 0198519613
• Format: Paperback
• Copyright: 1988-01-07
• Publisher: Oxford University Press

Summary

This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up by many illustrative examples. Derivations, some of well

Table of Contents

PART I
Basics in field quantization
Review of canonical quantization formalism	4	(7)
Introduction to path integral formalism	11	(11)
Fermion field quantization	22	(9)
Introduction to renormalization theory
Conventional renormalization in λ &phis; theory	31	(8)
BPH renormalization in λ &phis; theory	39	(6)
Regularization schemes	45	(11)
Power counting and renormalizability	56	(11)
Renormalization group
Momentum subtraction schemes and the Callan-Symanzik equation	67	(10)
The minimal subtraction scheme and its renormalization-group equation	77	(4)
Effective coupling constants	81	(5)
Group theory and the quark model
Elements of group theory	86	(4)
SU(2) and SU(3)	90	(12)
The tensor method in SU(n)	102	(11)
The quark model	113	(13)
Chiral symmetry of the strong interaction
Global symmetries in field theory and current commutators	126	(8)
Symmetry currents as physical currents	134	(7)
Spontaneous breaking of global symmetry, the Goldstone theorem	141	(10)
PCAC and soft pion theorems	151	(9)
Pattern of chiral symmetry breaking	160	(9)
Renormalization and symmetry
The vector-current Ward identity and renormalization	169	(4)
Axial-vector-current Ward identity anomaly and π0 ← 2y	173	(9)
Renormalization in theories with spontaneous symmetry breaking	182	(7)
The effective potential and radiatively induced spontaneous symmetry breakdown	189	(10)
The Parton model and scaling
The parton model of deep inelastic lepton-hadron scattering	199	(9)
Sum rules and applications of the quark-parton model	208	(10)
Free-field light-cone singularities and Bjorken scaling	218	(11)
PART II
Gauge symmetries
Local symmetries in field theory	229	(6)
Gauge invariance and geometry	235	(5)
Spontaneous breaking of gauge symmetry, the Higgs phenomenon	240	(8)
Quantum gauge theories
Path-integral quantization of gauge theories	248	(9)
Feynman rules in covariant gauges	257	(10)
The Slavnov-Taylor identities	267	(13)
Quantum chromodynamics
The discovery of asymptotic freedom	280	(11)
The QCD Lagrangian and the symmetries of the strong interaction	291	(4)
Renormalization group analysis of scaling and scaling violation	295	(16)
The parton model and perturbative QCD	311	(11)
Lattice gauge theory and colour confinement	322	(14)
Standard electroweak theory I: basic structure
Weak interactions before gauge theories	336	(3)
Construction of the standard SU(2) x U(1) theory	339	(16)
Fermion family replication	355	(9)
Standard electroweak theory II: phenomenological implications
Flavour-conserving neutral-current processes	364	(7)
Weak mixing angles, the GIM mechanism, and CP violation	371	(15)
The W and Z intermediate vector bosons	386	(8)
The Higgs particle	394	(7)
Selected topics in quantum flavourdynamics
Dynamical symmetry breaking and technicolour models	401	(8)
Neutrino masses, mixings and oscillations	409	(11)
μ ← ey, An example of Rξ gauge loop calculations	420	(8)
Grand unification
Introduction to the SU(5) model	428	(6)
Spontaneous symmetry breaking and gauge hierarchy	434	(3)
Coupling constant unification	437	(5)
Proton decay and baryon asymmetry in the universe	442	(5)
Fermion masses and mixing angles in the minimal SU(5) model	447	(6)
Magnetic monopoles
Dirac's theory of magnetic poles	453	(7)
Solitons in field theory	460	(6)
The 't Hooft-Polyakov monopole	466	(10)
Instantons
The topology of gauge transformations	476	(6)
The instanton and vacuum tunnelling	482	(5)
Instantons and the U(1) problem	487	(7)
Appendix A Notations and conventions	494	(4)
Appendix B Feynman rules	498	(15)
Bibliography	513	(4)
References	517	(10)
Subject Index	527