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Linear covariant gauges on the lattice |
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| Authors: | Attilio Cucchieri Tereza Mendes |
| Affiliation: | a Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil b Department of Complex Physical Systems, Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, SK-845 11 Bratislava, Slovakia c Department of Theoretical Physics, Institute of Physics, Karl-Franzens University Graz, Universitätsplatz 5, A-8010 Graz, Austria d DESY-Zeuthen, Platanenallee 6, 15738 Zeuthen, Germany |
| Abstract: | Linear covariant gauges, such as Feynman gauge, are very useful in perturbative calculations. Their non-perturbative 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: | 11.15.Ha 12.38.Aw 14.70.Dj |
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