Preparation for Gauge Theory
数学物理
2009-09-25 v3 高能物理 - 理论
微分几何
math.MP
摘要
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.
引用
@article{arxiv.math-ph/9902027,
title = {Preparation for Gauge Theory},
author = {George Svetlichny},
journal= {arXiv preprint arXiv:math-ph/9902027},
year = {2009}
}
备注
LaTeX. 97 pages. Uses macro package "diagrams.tex". Some minor errors and typos corrected