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Gauge Theory and Variational Principles

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eBook details

  • Title: Gauge Theory and Variational Principles
  • Author : David Bleecker
  • Release Date : January 18, 2013
  • Genre: Physics,Books,Science & Nature,
  • Pages : * pages
  • Size : 13963 KB

Description

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.


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