Status of center dominance in various center gauges

TL;DR

This paper reviews the concept of center dominance in gauge theories, discusses issues with gauge fixing methods, and introduces the Laplacian center gauge as a solution, comparing different gauge approaches.

Contribution

It introduces the direct Laplacian center gauge as a remedy for Gribov copy problems and analyzes correlations between various center gauge methods.

Findings

Laplacian center gauge reduces Gribov copy issues.

Correlations between direct and indirect Laplacian gauges are studied.

Maximal center gauge interpretation is clarified.

Abstract

We review arguments for center dominance in center gauges where vortex locations are correctly identified. We introduce an appealing interpretation of the maximal center gauge, discuss problems with Gribov copies, and a cure to the problems through the direct Laplacian center gauge. We study correlations between direct and indirect Laplacian center gauges.