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.

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

References in corpus (4)

• The Higgs Model with a Complex Ghost Pair
• Strongly Interacting Higgs Sector in the Minimal Standard Model?
• Constraints on the Existence of Chiral Fermions in Interacting Lattice Theories
• Almost Gauge Invariant Lattice Actions for Chiral Gauge Theories, using Laplacian Gauge Fixing

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• Gauge Freedom in Chiral Gauge Theory with Vacuum Overlap
• U(1) Chiral gauge theory on lattice with gauge-fixed domain wall fermions