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Group Structure of Gauge Theories : Cambridge Monographs on Mathematical Physics - L. O'Raifeartaigh

Group Structure of Gauge Theories

Cambridge Monographs on Mathematical Physics

Paperback

Published: 25th July 1988
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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.

Prefacep. vii
Group structurep. 1
Global properties of groups and Lie groups
Local properties of Lie groupsp. 13
Lie algebrasp. 22
Hermitian irreducible representations of compact simple Lie algebrasp. 36
Continuous unitary irreducible representations (CUIRs) of compact Lie groupsp. 49
Rigid internal groupsp. 63
Gauge theoryp. 75
The gauge principlep. 77
Spontaneous symmetry breakingp. 88
Gauge theory of the non-gravitational interactionsp. 101
Grand unificationp. 110
Orbit structurep. 128
The scalar potentialp. 140
Referencesp. 154
Suggestions for further readingp. 159
Glossaryp. 162
Indexp. 169
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521347853
ISBN-10: 0521347858
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 184
Published: 25th July 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.1
Weight (kg): 0.28