A Gauge-Fixing Action for Lattice Gauge Theories

Abstract

We present a lattice gauge-fixing action $S_{gf}$ with the following properties: (a) $S_{gf}$ is proportional to the trace of $({\sum }_{\mu }{\partial }_{\mu }{A}_{\mu }{)}^2$, plus irrelevant terms of dimension six and higher; (b) $S_{gf}$ has a unique absolute minimum at $U_{x,\mu }=I$. Noting that the gauge-fixed action is not BRST invariant on the lattice, we discuss some important aspects of the phase diagram.

Comments: 13 pages, Latex, improved presentation, no change in results