Group Structure of Gauge Theories

Front Cover
Cambridge University Press, May 26, 1988 - Science - 172 pages
0 Reviews
This monograph provides an account of the structure of gauge theories from a group theoretical point of view. The first part of the text is devoted to a review of those aspects of compact Lie groups (the Lie algebras, the representation theory, and the global structure) which are necessary for the application of group theory to the physics of particles and fields. The second part describes the way in which compact Lie groups are used to construct gauge theories. Models that describe the known fundamental interactions and the proposed unification of these interactions (grand unified theories) are considered in some detail. The book concludes with an up to date description of the group structure of spontaneous symmetry breakdown, which plays a vital role in these interactions. This book will be of interest to graduate students and to researchers in theoretical physics and applied mathematics, especially those interested in the applications of differential geometry and group theory in physics.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Global properties of groups and Lie groups
3
Local properties of Lie groups
13
Lie algebras
22
Hermitian irreducible representations of compact simple Lie algebras
36
Continuous unitary irreducible representations CUIRs of compact Lie groups
49
Rigid internal groups
63
Gauge theory
75
The gauge principle
77
Gauge theory of the nongravitational interactions
101
Grand unification
110
Orbit structure
128
The scalar potential
140
References
154
Suggestions for further reading
159
Glossary
162
Index
169

Spontaneous symmetry breaking
88

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information