Preparation for Gauge Theory

Details Preparation for Gauge Theory Preparation for Gauge Theory

1999-02-23

arxiv.org/abs/math-ph/9902027v3

Physics

Mathematical Physics

LaTeX. 97 pages. Uses macro package "diagrams.tex". Some minor errors and typos corrected

Scientific paper

Class lecture notes at a beginning graduate level on the mathematical background needed to understand classical gauge theory. Covers group actions, fiber bundles, principal bundles, connections, gauge transformations, parallel transport, curvature, covariant derivatives, pseudo-riemannian manifolds, lagrangians, clifford algebras, spin bundles, and the Dirac operator. Requires an elementary knowledge of groups, manifolds, lie groups and algebras, and mutlilinear algebra.

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