Confinement and center vortices in Coulomb gauge: analytic and numerical results

TL;DR

This paper reviews the confinement mechanisms in Coulomb gauge, demonstrating the connection between center vortices and the Gribov region, supported by numerical evidence linking both confinement scenarios.

Contribution

It unifies the Gribov and center-vortex confinement scenarios in Coulomb gauge through analytical insights and numerical validation.

Findings

Center vortices lie on the boundary of the Gribov region in Coulomb gauge.

Numerical studies support the connection between center vortices and confinement.

The unification of confinement scenarios enhances understanding of non-perturbative QCD.

Abstract

We review the confinement scenario in Coulomb gauge. We show that when thin center vortex configurations are gauge transformed to Coulomb gauge, they lie on the common boundary of the fundamental modular region and the Gribov region. This unifies elements of the Gribov confinement scenario in Coulomb gauge and the center-vortex confinement scenario. We report on recent numerical studies which support both of these scenarios.