Gauge Theory and Variational Principles

Author: David Bleecker Series: Dover Books on Physics

Paperback

Detailed and self-contained, this text supplements its rigor with intuitive ideas and is geared toward beginning graduate students and advanced undergraduates. Topics include principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition

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Summary

Description

This text provides a framework for describing and organising the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organised treatment supplements its rigor with intuitive ideas.Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.

About the Author

Poet-essayist Kenneth Rexroth (1905-1982) was a high-school dropout, disillusioned ex-Communist, pacifist, anarchist, rock-climber, critic and translator, mentor, Catholic-Buddhist spiritualist and a prominent figure of San Francisco's Beat scene. He is regarded as a central figure of the San Francisco Renaissance and is among the first American poets to explore traditional Japanese forms such as the haiku.