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Gauge Theory and Variational Principles
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Artikel-Nr:
9780486151878
Veröffentl:
2013
Einband:
EPUB
Seiten:
208
Autor:
David Bleecker
Serie:
Dover Books on Mathematics
eBook Typ:
EPUB
eBook Format:
Reflowable EPUB
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
Covers 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
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.
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.
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
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