English

Non-perturbative BRST invariance and what it might be good for

High Energy Physics - Lattice 2009-11-07 v1

Abstract

We construct a local, gauge-fixed, lattice Yang-Mills theory with an exact BRST invariance, and with the same perturbative expansion as the standard Yang-Mills theory. The ghost sector, and some of its BRST transformation rules, are modified to get around Neuberger's theorem. A special term is introduced in the action to regularize the Gribov horizons, and the limit where the regulator is removed is discussed. We conclude with a few comments on what might be the physical significance of this theory. We speculate that there may exist new strong-interaction phases apart from the anticipated confinement phase.

Keywords

Cite

@article{arxiv.hep-lat/0209003,
  title  = {Non-perturbative BRST invariance and what it might be good for},
  author = {Yigal Shamir and Maarten Golterman},
  journal= {arXiv preprint arXiv:hep-lat/0209003},
  year   = {2009}
}

Comments

3 pages, Lattice2002(theoretical), For additional technical details see ref. 1