Non-Abelian Stokes Theorem for Wilson Loops Associated with General Gauge Groups
High Energy Physics - Theory
2008-11-26 v2
Abstract
A formula constituting the non-Abelian Stokes theorem for general semi-simple compact gauge groups is presented. The formula involves a path integral over a group space and is applicable to Wilson loop variables irrespective of the topology of loops. Some simple expressions analogous to the 't Hooft tensor of a magnetic monopole are given for the 2-form of interest. A special property in the case of the fundamental representation of the group SU(N) is pointed out.
Keywords
Cite
@article{arxiv.hep-th/9907063,
title = {Non-Abelian Stokes Theorem for Wilson Loops Associated with General Gauge Groups},
author = {M. Hirayama and M. Ueno},
journal= {arXiv preprint arXiv:hep-th/9907063},
year = {2008}
}
Comments
11 pages, PTPTEX, corrected some typos