Preparation for Gauge Theory

George Svetlichny

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arXiv · math-ph/9902027

Preparation for Gauge Theory

George Svetlichny

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Abstract

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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George Svetlichny. 1999-03-12. Preparation for Gauge Theory. https://arxiv.org/abs/math-ph/9902027

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