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Description
Gauge Theory and Variational PrinciplesThis text provides a framework for describing and organizing 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 organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the
This text provides a framework for describing and organizing 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-organized 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.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/10/2005
ISBN: 9780486445465
Pages: 181
Weight: 0.47lbs
Size: 8.52h x 5.40w x 0.42d
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