Gauge Theory and Variational Principles (Dover Books on Physics)

David Bleecker

ISBN 10: 0486445461 / ISBN 13: 9780486445465

Editore: Dover Publications (edition Illustrated), 2005

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Codice articolo 0486445461-8-1

Riassunto:

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.

Contenuti: 0. Preliminaries 1. Principal Fiber Bundles and Connections 2. Curvature and G-Valued Differential Forms 3. Particle Fields, Lagrangians, Gauge Invariance 4. Lagrange’s Equation for Particle Fields 5. The Inhomogeneous Field Equation 6. Free Dirac Electron Fields 7. Interactions 8. Calculus on Frame Bundle 9. Unification of Gauge Fields and Gravitation 10. Additional Topics References Selected Bibliography Index of Notation Index

Dati bibliografici

Titolo: Gauge Theory and Variational Principles (...
Casa editrice: Dover Publications (edition Illustrated)
Data di pubblicazione: 2005
Legatura: Paperback
Condizione: Very Good
Edizione: Illustrated.