Gauge Theory and Variational Principles

Author:   David Bleecker
Publisher:   Dover Publications Inc.
ISBN:  

9780486445465


Pages:   181
Publication Date:   30 December 2005
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Gauge Theory and Variational Principles


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Overview

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.

Full Product Details

Author:   David Bleecker
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.60cm , Height: 1.00cm , Length: 21.40cm
Weight:   0.223kg
ISBN:  

9780486445465


ISBN 10:   0486445461
Pages:   181
Publication Date:   30 December 2005
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   No Longer Our Product
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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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