Gauge Theory of Weak Interactive

by Greiner, Walter; Muller, Berndt

• ISBN13: 9783540676720
• ISBN10: 3540676724
• Edition: 3rd
• Format: Paperback
• Copyright: 2000-10-01
• Publisher: Springer Nature

Summary

Gauge Theory of Weak Interactionstreats the unification of electromagnetic and weak interactions and considers related phenomena. First, the Fermi theory of beta decay is presented, followed by a discussion of parity violation, clarifying the importance of symmetries. Then the concept of a spontaneously broken gauge theory is introduced, and all necessary mathematical tools are carefully developed. The "standard model" of unified electroweak interactions is thoroughly discussed including current developments. The final chapter contains an introduction to unified theories of strong and electroweak interactions. Numerous solved examples and problems make this volume uniquely suited as a text for an advanced course. This third edition has been carefully revised.

Table of Contents

The Discovery of the Weak Interaction	1	(24)
The Universal Fermi Interaction	2	(8)
The Non-conservation of Parity	10	(12)
Bibliographical Notes	22	(3)
Leptonic Interactions	25	(54)
The Current--Current Interaction (Charged Currents)	25	(2)
The Decay of the Muon	27	(11)
The Lifetime of the Muon	38	(6)
Parity Violation in the Muon Decay	44	(9)
The Michel Parameters	53	(18)
The Tau Lepton	71	(5)
Bibliographical Notes	76	(3)
Limitations of Fermi Theory	79	(28)
Neutral Currents	79	(1)
Scattering of a Muon Neutrino by an Electron	80	(3)
Vμ--e-- Scattering	83	(3)
High-Energy Behaviour of Neutrino-Electron Scattering	86	(9)
Supplement: Scattering Formalism for Spin-1/2 Particles	95	(7)
Divergences in Higher-Order Processes	102	(2)
Bibliographical Notes	104	(3)
The Salam--Weinberg Theory	107	(70)
The Higgs Mechanism	107	(12)
The Yang--Mills Field	119	(10)
The Feynman Rules of Yang--Mills Theory	129	(17)
The Glashow--Salam--Weinberg Model of Leptons	146	(8)
Spontaneous Symmetry Breaking: The Higgs Sector	154	(14)
Hidden SU(2) X U(1) Gauge Invariance	168	(7)
Bibliographical Notes	175	(2)
Some Properties of the Salam-Weinberg Theory of Leptons	177	(28)
Decay of the Charged Boson W--	177	(5)
The Process e+e- → Z0 → μ+μ-	182	(15)
High-Energy Behaviour of the GSW Theory	197	(6)
Bibliographical Notes	203	(2)
Semi-Leptonic Interactions of Hadrons	205	(42)
The World of Hadrons	205	(3)
Phenomenology of Decays of Hadrons	208	(8)
Weak Interactions of Quarks	216	(11)
Cabibbo's Theory of Flavour Mixing	227	(19)
Bibliographical Notes	246	(1)
Nuclear Beta Decay	247	(40)
The MIT Bag Model	247	(6)
Beta Decay of the Neutron	253	(7)
Nuclear Beta Decay	260	(3)
Properties of Allowed Beta Decays	263	(22)
Bibliographical Notes	285	(2)
The Neutral Kaon System	287	(16)
The Particles KS and KL	287	(9)
CP Violation	296	(7)
Unified Gauge Theories	303	(84)
Introduction: The Symmetry Group SU(5)	303	(6)
Embedding SU(3)C x SU(2)L x U(1) into SU(5)	309	(17)
The SU(5) Gauge Theory	326	(15)
Spontaneous Breaking of the SU(5) Symmetry	341	(10)
Determination of the Scale of SU(5) Symmetry Breaking	351	(14)
Proton Decay	365	(16)
Outlook: Extensions of the Standard Model	381	(4)
Bibliographical Notes	385	(2)
Appendix	387	(10)
A. Conventions and ``Natural'' Units	387	(1)
B. The Dirac Equation	388	(3)
C. Feynman Rules	391	(2)
D. Symmetry Transformations	393	(4)
Subject Index	397