The role of center vortices in Gribov's confinement scenario

TL;DR

This paper explores how center vortices influence Gribov's confinement scenario in Coulomb gauge, showing that vortices dominate infrared properties and are crucial for understanding confinement in Yang-Mills theory.

Contribution

It demonstrates the dominance of center vortices in infrared phenomena within Gribov's confinement framework using lattice methods.

Findings

Center vortices dominate the infrared divergence of the ghost form factor.

Infrared properties of static propagators are primarily influenced by center vortices.

The vacuum wave functional models strict confinement with an area law for the Wilson loop.

Abstract

The connection of Gribov's confinement scenario in Coulomb gauge with the center vortex picture of confinement is investigated. For this purpose we assume a vacuum wave functional which models the infrared properties of the theory and in particular shows strict confinement, i.e. an area law of the Wilson loop. We isolate the center vortex content of this wave functional by standard lattice methods and investigate their contributions to various static propagators of the Hamilton approach to Yang-Mills theory in Coulomb gauge. We find that the infrared properties of these quantities, in particular the infrared divergence of the ghost form factor, are dominated by center vortices.