The influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge

TL;DR

This paper examines how Gribov copies affect gluon and ghost propagators in SU(2) Yang-Mills theory within the maximal Abelian gauge, revealing characteristic behaviors and dynamical mass effects.

Contribution

It provides a detailed analysis of Gribov copy effects on propagators in the maximal Abelian gauge, including the impact of the <A^2> condensate on off-diagonal gluons.

Findings

Diagonal gluon propagator shows Gribov behavior

Off-diagonal gluon propagator is Yukawa-like with a dynamical mass

Off-diagonal ghost propagator is infrared enhanced

Abstract

The effects of the Gribov copies on the gluon and ghost propagators are investigated in SU(2) Euclidean Yang-Mills theory quantized in the maximal Abelian gauge. The diagonal component of the gluon propagator displays the characteristic Gribov type behavior. The off-diagonal component of the gluon propagator is found to be of the Yukawa type, with a dynamical mass originating from the dimension two condensate <A^2>, which is also taken into account. Finally, the off-diagonal ghost propagator exhibits infrared enhancement.