Linear Covariant Gauges on the Lattice
arXiv:0806.3124 · doi:10.1016/j.cpc.2008.09.011
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.
21 pages, 6 figures, 5 tables; added comments and minor changes, 1 figure added, 1 modified