# Soft Covariant Gauges on the Lattice

## TL;DR

This paper introduces a new family of covariant gauge-fixing conditions on the lattice, implemented via Monte Carlo methods, and investigates their impact on the gluon propagator's gauge dependence.

## Contribution

It proposes a one-parameter family of non-perturbative lattice gauge-fixing conditions and demonstrates their numerical feasibility.

## Key findings

- Feasibility of implementing the gauge-fixing procedure
- Initial insights into gauge dependence of the gluon propagator
- Potential for exploring covariant gauges on the lattice

## Abstract

We present an exploratory study of a one-parameter family of covariant, non-perturbative lattice gauge-fixing conditions, that can be implemented through a simple Monte Carlo algorithm. We demonstrate that at the numerical level the procedure is feasible, and as a first application we examine the gauge dependence of the gluon propagator.