English

Linear Covariant Gauges on the Lattice

High Energy Physics - Lattice 2009-01-27 v2

Abstract

Linear covariant gauges, such as Feynman gauge, are very useful in perturbative calculations. Their nonperturbative formulation is, however, highly non-trivial. In particular, it is a challenge to define linear covariant gauges on a lattice. We consider a class of gauges in lattice gauge theory that coincides with the perturbative definition of linear covariant gauges in the formal continuum limit. The corresponding gauge-fixing procedure is described and analyzed in detail, with an application to the pure SU(2) case. In addition, results for the gluon propagator in the two-dimensional case are given.

Keywords

Cite

@article{arxiv.0806.3124,
  title  = {Linear Covariant Gauges on the Lattice},
  author = {Attilio Cucchieri and Axel Maas and Tereza Mendes},
  journal= {arXiv preprint arXiv:0806.3124},
  year   = {2009}
}

Comments

21 pages, 6 figures, 5 tables; added comments and minor changes, 1 figure added, 1 modified

R2 v1 2026-06-21T10:52:19.875Z