Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge

TL;DR

This paper extends the Refined Gribov-Zwanziger framework by coupling scalar fields, computes their propagator at one-loop, and finds good agreement with lattice data, indicating the framework's effectiveness in describing infrared matter correlations.

Contribution

It introduces a coupled scalar field model within the RGZ framework and compares the results with lattice data, highlighting the non-perturbative relevance of the gluon propagator.

Findings

Scalar propagator matches lattice data for fitted parameters

RGZ framework captures infrared behavior of matter fields

Discussion on BRST symmetry in the coupled model

Abstract

The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge accounts for the existence of infinitesimal Gribov copies as well as the dynamical formation of condensates in the infrared of Euclidean Yang-Mills theories. We couple scalar fields to the RGZ action and compute the one-loop scalar propagator in the adjoint representation of the gauge group. We compare our findings with existing lattice data. The fate of BRST symmetry in this model is discussed, and we provide a comparison to a previous proposal for a non-minimal coupling between matter and the RGZ action. We find good agreement with the lattice data of the scalar propagator for the values of the mass parameters that fit the RGZ gluon propagator to the lattice. This suggests that the non-perturbative information carried by the gluon propagator in the RGZ framework provides a suitable mechanism to reproduce the behavior of correlation functions of colored matter fields in the infrared.