On the Gribov problem in Yang-Mills theory
Abstract
I briefly review the Gribov ambiguity of Yang-Mills theory, some of its features and attempts to control it, in particular the Gribov-Zwanziger proposal to restrict the functional integration in the Landau gauge to the Gribov region. This proposal is extended to an arbitrary gauge in such a way as to guarantee BRST invariance. The key insight is that any gauge change in the generating functional can be effected by a suitable field-dependent BRST transformation. I derive a simple analytic formula for the Jacobian of such a transformation, which yields an explicit recipe for the required transformation-parameter functional and allows for the computation of the Gribov horizon functional in any gauge, as I illustrate for the class of R_xi gauges.
Cite
@article{arxiv.1312.6308,
title = {On the Gribov problem in Yang-Mills theory},
author = {Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:1312.6308},
year = {2015}
}
Comments
1+9 pages, talk presented at SQS-13 during 29 July - 03 August, 2013, at JINR, Dubna, Russia