Infrared behavior of the gluon and ghost propagators in Yang-Mills theories

TL;DR

This paper discusses the impact of the dimension two condensate and Gribov copies on the infrared behavior of gluon and ghost propagators in Yang-Mills theories, exploring gauge-invariant actions with mass parameters.

Contribution

It examines the role of the <A^2> condensate and Gribov copies in the infrared regime, and introduces a gauge-invariant non-Abelian action with a mass parameter.

Findings

Influence of <A^2> condensate on gluon propagator

Effects of Gribov copies in Landau gauge

Construction of a gauge-invariant mass term

Abstract

We provide a short discussion of the dimension two condensate <A^2> and its influence on the infrared behaviour of the gluon propagator in the Landau gauge. Simultaneously, we pay attention to the issue of Gribov copies in the Landau gauge. We also briefly discuss a local, gauge invariant non-Abelian action with mass parameter, constructed from the dimension 2 operator $F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$.