A BRST gauge-fixing procedure for Yang-Mills theory on sphere
Abstract
A gauge-fixing procedure for the Yang-Mills theory on an n-dimensional sphere (or a hypersphere) is discussed in a systematic manner. We claim that Adler's gauge-fixing condition used in massless Euclidean QED on a hypersphere is not conventional because of the presence of an extra free index, and hence is unfavorable for the gauge-fixing procedure based on the BRST invariance principle (or simply BRST gauge-fixing procedure). Choosing a suitable gauge condition, which is proved to be equivalent to a generalization of Adler's condition, we apply the BRST gauge-fixing procedure to the Yang-Mills theory on a hypersphere to obtain consistent results. Field equations for the Yang-Mills field and associated fields are derived in manifestly O(n+1) covariant or invariant forms. In the large radius limit, these equations reproduce the corresponding field equations defined on the n-dimensional flat space.
Keywords
Cite
@article{arxiv.hep-th/0509161,
title = {A BRST gauge-fixing procedure for Yang-Mills theory on sphere},
author = {Rabin Banerjee and Shinichi Deguchi},
journal= {arXiv preprint arXiv:hep-th/0509161},
year = {2008}
}
Comments
15 pages, revtex4