Group Structure of Gauge Theories

L. O'Raifeartaigh, P. V. Landshoff, David R. Nelson , S. Weinberg

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English

Cambridge University Press
25 July 1988

Mathematics & Sciences; Atomic & molecular physics; Particle & high-energy physics

Series: Cambridge Monographs on Mathematical Physics

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.

By: L. O'Raifeartaigh
Series edited by: P. V. Landshoff, David R. Nelson, S. Weinberg
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 230mm, Width: 154mm, Spine: 16mm
Weight: 305g
ISBN: 9780521347853
ISBN 10: 0521347858
Series: Cambridge Monographs on Mathematical Physics
Pages: 184
Publication Date: 25 July 1988
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface; Part I. Group Structure: 1. Global properties of groups and Lie groups; 2. Local properties of Lie groups; 3. Lie algebras; 4. Hermitian irreducible representations of compact simple Lie algebras; 5. Continuous unitary irreducible representations (CUIRs) of compact Lie groups; 6. Rigid internal groups; Part II. Gauge Theory: 7. The gauge principle; 8. Spontaneous symmetry breaking; 9. Gauge theory of the non-gravitational interactions; 10. Grand unification; 11. Orbit structure; 12. The scalar potential; References; Glossary; Index.