Maximal Abelian gauge and a generalized BRST transformation
Abstract
We apply a generalized Becchi-Rouet-Stora-Tyutin (BRST) formulation to establish a connection between the gauge-fixed Yang-Mills (YM) theories formulated in the Lorenz gauge and in the Maximal Abelian (MA) gauge. It is shown that the generating functional corresponding to the Faddeev-Popov (FP) effective action in the MA gauge can be obtained from that in the Lorenz gauge by carrying out an appropriate finite and field-dependent BRST (FFBRST) transformation. In this procedure, the FP effective action in the MA gauge is found from that in the Lorenz gauge by incorporating the contribution of non-trivial Jacobian due to the FFBRST transformation of the path integral measure. The present FFBRST formulation might be useful to see how Abelian dominance in the MA gauge is realized in the Lorenz gauge.
Keywords
Cite
@article{arxiv.1602.03173,
title = {Maximal Abelian gauge and a generalized BRST transformation},
author = {Shinichi Deguchi and Vipul Kumar Pandey and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:1602.03173},
year = {2016}
}
Comments
18 Pages, Revtex4, No figures