Author: Gockeler, M.; Joint Author: Schucker, T.
Cambridge Monographs on Mathematical Physics; Paperback; Bibliography, Index
248 pages
Published: October 1989
Cambridge University Press
ISBN: 0521378214

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 physicsand general relativity. Topics discussed include Yang-Mills theories, gravity, fiber bundles, monopoles, instantons, spinors, and anomalies.This book provides a self-contained, concise introduction to those concepts of modern differential geometry fundamental to particle physics and general relativity.