Non-Abelian Stokes theorem in action
Mathematical Physics
2007-05-23 v3 High Energy Physics - Lattice
High Energy Physics - Theory
Classical Analysis and ODEs
math.MP
Computational Physics
Quantum Physics
Abstract
In this short review main issues related to the non-Abelian Stokes theorem have been addressed. The two principal approaches to the non-Abelian Stokes theorem, operator and two variants (coherent-state and holomorphic) of the path-integral one, have been formulated in their simplest possible forms. A recent generalization for a knotted loop as well as a suggestion concerning higher-degree forms have been also included. Non-perturbative applications of the non-Abelian Stokes theorem, to (semi-)topological gauge theories, have been presented.
Cite
@article{arxiv.math-ph/0012035,
title = {Non-Abelian Stokes theorem in action},
author = {Boguslaw Broda},
journal= {arXiv preprint arXiv:math-ph/0012035},
year = {2007}
}
Comments
46 pages, 5 pictures, 1 EPS figure, several references added, minor changes