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Differential Geometry, Gauge Theories, and Gravity : Cambridge Monographs on Mathematical Physics - M. Gockeler

Differential Geometry, Gauge Theories, and Gravity

Cambridge Monographs on Mathematical Physics

Paperback

Published: 11th December 1989
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Using a self-contained and concise treatment of modern differential geometry, this book will be of great interest to graduate students and researchers in applied mathematics or theoretical physics working in field theory, particle physics, or general relativity. The authors begin with an elementary presentation of differential forms. This formalism is then used to discuss physical examples, followed by a generalization of the mathematics and physics presented to manifolds. The book emphasizes the applications of differential geometry concerned with gauge theories in particle physics and general relativity. Topics discussed include Yang-Mills theories, gravity, fiber bundles, monopoles, instantons, spinors, and anomalies.

"...a very beautifully and elegantly written introduction to those areas of modern differential geometry that either now play, or presumably will play, a role in particle physics and general relativity." SIAM Review

Preface
Exterior algebra
Differential forms on open subsets of Rn
Metric structures
Gauge theories
Einstein-Cartan theory
The Lie derivative
Manifolds
Lie groups
Fibre bundles
Monopoles, instantons, and related fibre bundles
Spin
An algebraic approach to anomalies
Anomalies from graphs
References
Bibliography
Notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521378215
ISBN-10: 0521378214
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 244
Published: 11th December 1989
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.5 x 15.88  x 1.27
Weight (kg): 0.33