Results on the Gluon Propagator in Lattice Covariant Gauges
نویسندگان
چکیده
We present preliminary data on the gluon propagator in generalized covariant gauges. The motivation for considering a generalized gauge-fixing procedure stems, just as in the continuum, from the necessity of studying the gauge dependence of the Green’s functions. In the covariant gauges it is possible to change the gauge fixing varying the value of the gauge parameter. In the continuum, the generic covariant gauges satisfy the following condition:
منابع مشابه
Linear covariant gauges on the lattice
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 li...
متن کاملInfrared Propagators in MAG and Feynman gauge on the lattice
We propose to investigate infrared properties of gluon and ghost propagators related to the so-called Gribov-Zwanziger confinement scenario, originally formulated for Landau and Coulomb gauges, for other gauges as well. We present results of our investigation of SU(2) lattice gauge theory in the maximally Abelian gauge (MAG), focusing on the behavior of propagators in the off-diagonal (i.e. non...
متن کاملSoft Covariant Gauges on the Lattice UKQCD Collaboration
We present an exploratory study of a one-parameter family of covariant, non-perturbative lattice gauge-fixing conditions, that can be implemented through a simple Monte Carlo algorithm. We demonstrate that at the numerical level the procedure is feasible, and as a first application we examine the gauge dependence of the gluon propagator.
متن کاملNon-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
In this paper, a proposal for the restriction of the Euclidean functional integral to a region free from infinitesimal Gribov copies in linear covariant gauges is discussed. An effective action, akin to the Gribov-Zwanziger action of the Landau gauge, is obtained which implements the aforementioned restriction. Although originally non-local, this action can be cast in local form by introducing ...
متن کاملA local and BRST-invariant Yang-Mills theory within the Gribov horizon
We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies à la Gribov and Zwanziger. Through the convenient use of auxiliary fields, including one of the Stueckelberg type, it is shown that both the action and the associated nilpotent BRST operator can be put in local f...
متن کامل