Introduction to gauge theories of the strong, weak, and electromagnetic interactions
Abstract
The plan of these notes is as follows. Chapter 1 is devoted to a brief evocative review of current beliefs and prejudices that form the context for the discussion to follow. The idea of Gauge Invariance is introduced in Chapter 2, and the connection between conservation laws and symmetries of the Lagrangian is recalled. NonAbelian gauge field theories are constructed in Chapter 3, by analogy with the familiar case of electromagnetism. The YangMills theory based upon isospin symmetry is constructed explicitly, and the generalization is made to other gauge groups. Chapter 4 is concerned with spontaneous symmetry breaking and the phenomena that occur in the presence or absence of local gauge symmetries. The existence of massless scalar fields (Goldstone particles) and their metamorphosis by means of the Higgs mechanism are illustrated by simple examples. The WeinbergSalam model is presented in Chapter 5, and a brief resume of applications to experiment is given. Quantum Chromodynamics, the gauge theory of colored quarks and gluons, is developed in Chapter 6. Asymptotic freedom is derived schematically, and a few simple applications of perturbative QCD ae exhibited. Details of the conjectured confinement mechanism are omitted. The strategy of grand unified theories of the strong, weak,more »
 Authors:
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab., Batavia, IL (USA)
 OSTI Identifier:
 6498121
 Report Number(s):
 FERMILABConf80/64THY
TRN: 81010901
 DOE Contract Number:
 AC0276CH03000
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; UNIFIED GAUGE MODELS; LECTURES; LEPTONS; QUANTUM CHROMODYNAMICS; QUARK MODEL; QUARKS; SU5 GROUPS; SYMMETRY BREAKING; WEINBERG LEPTON MODEL; COMPOSITE MODELS; DOCUMENT TYPES; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY GROUPS; 645200*  High Energy Physics Particle Interactions & PropertiesTheoretical
Citation Formats
Quigg, C. Introduction to gauge theories of the strong, weak, and electromagnetic interactions. United States: N. p., 1980.
Web.
Quigg, C. Introduction to gauge theories of the strong, weak, and electromagnetic interactions. United States.
Quigg, C. 1980.
"Introduction to gauge theories of the strong, weak, and electromagnetic interactions". United States.
doi:.
@article{osti_6498121,
title = {Introduction to gauge theories of the strong, weak, and electromagnetic interactions},
author = {Quigg, C.},
abstractNote = {The plan of these notes is as follows. Chapter 1 is devoted to a brief evocative review of current beliefs and prejudices that form the context for the discussion to follow. The idea of Gauge Invariance is introduced in Chapter 2, and the connection between conservation laws and symmetries of the Lagrangian is recalled. NonAbelian gauge field theories are constructed in Chapter 3, by analogy with the familiar case of electromagnetism. The YangMills theory based upon isospin symmetry is constructed explicitly, and the generalization is made to other gauge groups. Chapter 4 is concerned with spontaneous symmetry breaking and the phenomena that occur in the presence or absence of local gauge symmetries. The existence of massless scalar fields (Goldstone particles) and their metamorphosis by means of the Higgs mechanism are illustrated by simple examples. The WeinbergSalam model is presented in Chapter 5, and a brief resume of applications to experiment is given. Quantum Chromodynamics, the gauge theory of colored quarks and gluons, is developed in Chapter 6. Asymptotic freedom is derived schematically, and a few simple applications of perturbative QCD ae exhibited. Details of the conjectured confinement mechanism are omitted. The strategy of grand unified theories of the strong, weak, and electromagnetic interactions is laid out in Chapter 7. Some properties and consequences of the minimal unifying group SU(5) are presented, and the gauge hierarchy problem is introduced in passing. The final chapter contains an essay on the current outlook: aspirations, unanswered questions, and bold scenarios.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1980,
month = 7
}

Three phenomenological analyses on the current unification theories of elementary particle interactions are presented. In Chapter I, the neutral current phenomenology of a class of supersymmetric SU(2) x U(1) x U tilde(1) models is analyzed. A model with the simplest fermion and Higgs structure allowing a realistic mass spectrum is considered first. Its neutral current sector is parametrized in terms of two mixing angles and the strength of the new U tilde(1) interactions. Expressions for lowenergy modelindependent parameters are derived and compared with those of the standard model. Bounds on the neutral gauge boson masses are obtained from the datamore »