# Lattice gauge-fixing for generic covariant gauges

## TL;DR

This paper introduces a method to extend lattice gauge-fixing from Landau to generic covariant gauges, with preliminary numerical results demonstrating its effectiveness and highlighting the impact of lattice artifacts and spurious copies.

## Contribution

It presents a novel approach for lattice gauge-fixing applicable to various covariant gauges, expanding beyond the Landau gauge.

## Key findings

- Method successfully applied to SU(2) and SU(3) gauge groups.
- Finite lattice-spacing effects influence gauge-fixing accuracy.
- Spurious copies significantly affect the gauge-fixing process.

## Abstract

We propose a method which allows the generalization of the Landau lattice gauge-fixing procedure to generic covariant gauges. We report preliminary numerical results showing how the procedure works for $SU(2)$ and $SU(3)$. We also report numerical results showing that the contribution of finite lattice-spacing effects and/or spurious copies are relevant in the lattice gauge-fixing procedure.