Center regions as a solution to the Gribov problem of the center vortex model

TL;DR

This paper proposes using center regions as a gauge fixing guide in the center vortex model to address the Gribov problem, fixing previous arbitrary parameters and improving the accuracy of confinement predictions.

Contribution

It introduces a parameter-free method using center regions to resolve the Gribov copy issue in the center vortex model.

Findings

Resolved the Gribov problem with a fixed parameter approach

Improved the accuracy of string tension predictions

Validated the effectiveness of center regions as gauge fixing guides

Abstract

The center vortex model, capable of explaining confinement and chiral symmetry breaking, has been plagued by the lattice equivalent of Gribov copies: different maxima of the gauge functional lead to different predictions of the string tension. It is possible to resolve this problem using center regions, loops evaluating to center elements, as guide for the gauge fixing procedure. The success of this approach was already shown, but the algorithms came with an arbitrary free parameter. In recent development this parameter has been fixed, even improving the results.