M. Gockeler, T. Schucker

Differential Geometry, Gauge Theories and Gravity

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 244
• Erscheinungstermin: 1. Juli 1989
• Englisch
• Abmessung: 229mm x 152mm x 15mm
• Gewicht: 402g
• ISBN-13: 9780521378215
• ISBN-10: 0521378214
• Artikelnr.: 22033610

Inhaltsangabe

Preface
1. Exterior algebra
2. Differential forms on open subsets of Rn
3. Metric structures
4. Gauge theories
5. Einstein-Cartan theory
6. The Lie derivative
7. Manifolds
8. Lie groups
9. Fibre bundles
10. Monopoles, instantons, and related fibre bundles
11. Spin
12. An algebraic approach to anomalies
13. Anomalies from graphs
References
Bibliography
Notation
Index.