The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates

TL;DR

This paper investigates the infrared properties of gluon and ghost propagators in SU(2) Yang-Mills theory within the maximal Abelian gauge, incorporating Gribov copies and condensates effects, and finds results consistent with lattice data.

Contribution

It introduces a local, renormalizable Lagrangian that simultaneously accounts for Gribov copies and dimension two condensates in the maximal Abelian gauge.

Findings

Good agreement with lattice data for propagator behavior

Nonperturbative effects are effectively encoded in the model

The framework enhances understanding of infrared dynamics in Yang-Mills theory

Abstract

The infrared behavior of the gluon and ghost propagators is studied in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge within the Gribov-Zwanziger framework. The nonperturbative effects associated with the Gribov copies and with the dimension two condensates are simultaneously encoded into a local and renormalizable Lagrangian. The resulting behavior turns out to be in good agreement with the lattice data.