The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal Abelian gauge

TL;DR

This paper analyzes the infrared behavior of gluon and ghost propagators in SU(2) Yang-Mills theory within the maximal Abelian gauge, considering Gribov copies and dynamical mass effects, aligning with lattice data.

Contribution

It provides new analytical insights into the infrared behavior of propagators in the MAG, incorporating Gribov effects and dynamical mass generation, and compares results with lattice data.

Findings

Diagonal gluon propagator shows Gribov-type behavior.

Off-diagonal gluon propagator is Yukawa-like due to dynamical mass.

Off-diagonal ghost propagator is infrared enhanced.

Abstract

We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual superconductivity picture to explain color confinement. Two kinds of effects are taken into account: those arising from a treatment of Gribov copies in the MAG and those arising from a dynamical mass originating in a dimension two gluon condensate. The diagonal component of the gluon propagator displays the typical Gribov-type behaviour, while the off-diagonal component is of the Yukawa type due to the dynamical mass. These results are in qualitative agreement with available lattice data on the gluon propagators. The off-diagonal ghost propagator exhibits an infrared enhancement due to the Gribov restriction, while the diagonal one remains unaffected.