Paperback. 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. 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 Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780486445465

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Dati bibliografici

Titolo: Gauge Theory and Variational Principles (Paperback)
Editore: Dover Publications Inc., New York
Data di pubblicazione: 2005
Lingua: Inglese
ISBN 10: 0486445461
ISBN 13: 9780486445465
Rilegatura: Paperback
Condizione: new

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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

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