Covariant gauge on the lattice: a new implementation
High Energy Physics - Lattice
2009-10-29 v2
Abstract
We derive a new implementation of linear covariant gauges on the lattice, based on a minimizing functional that can be interpreted as the Hamiltonian of a spin-glass model in a random external magnetic field. We show that our method solves most problems encountered in earlier implementations, mostly related to the no-go condition formulated by L. Giusti, Nucl. Phys. B 498, 331 (1997). We carry out tests in the SU(2) case in four space-time dimensions. We also present preliminary results for the transverse gluon propagator at different values of the gauge parameter xi.
Cite
@article{arxiv.0907.4138,
title = {Covariant gauge on the lattice: a new implementation},
author = {Attilio Cucchieri and Tereza Mendes and Elton M. S. Santos},
journal= {arXiv preprint arXiv:0907.4138},
year = {2009}
}
Comments
3 figures, 3 plots; Sections II.A, II.B and III have been modified; final version to appear in Phys. Rev. Lett