Preparation for Gauge Theory
Mathematical Physics
2009-09-25 v3 High Energy Physics - Theory
Differential Geometry
math.MP
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.
Cite
@article{arxiv.math-ph/9902027,
title = {Preparation for Gauge Theory},
author = {George Svetlichny},
journal= {arXiv preprint arXiv:math-ph/9902027},
year = {2009}
}
Comments
LaTeX. 97 pages. Uses macro package "diagrams.tex". Some minor errors and typos corrected