Regular Article - Theoretical Physics
Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
Departamento de Física Teórica, UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, 20550-013, Rio de Janeiro, Brazil
2 Instituto de Física, UFF, Universidade Federal Fluminense, Campus da Praia Vermelha Avenida General Milton Tavares de Souza s/n, 24210-346, Niterói, RJ, Brazil
Accepted: 24 September 2015
Published online: 6 October 2015
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 auxiliary fields. As in the case of the Landau gauge, dimension two condensates are generated at the quantum level, giving rise to a refinement of the action which is employed to obtain the tree-level gluon propagator in linear covariant gauges. A comparison of our results with those available from numerical lattice simulations is also provided.
© SIF and Springer-Verlag Berlin Heidelberg, 2015