Abelian dominance and the dual Meissner effect in local unitary gauges in SU(2) gluodynamics

TL;DR

This study uses precise Monte Carlo simulations to demonstrate Abelian dominance and the dual Meissner effect in local unitary gauges within SU(2) gluodynamics, supporting gauge independence of the Abelian confinement mechanism.

Contribution

First demonstration of Abelian dominance and the dual Meissner effect in local unitary gauges, showing gauge independence of the Abelian confinement scenario in SU(2) gluodynamics.

Findings

Abelian dominance observed in the confining potential in local gauges.

Flux tubes exhibit the dual Meissner effect with squeezed electric fields.

Monopoles play a significant role in confinement across different gauges.

Abstract

Performing highly precise Monte-Carlo simulations of SU(2) gluodynamics, we observe for the first time Abelian dominance in the confining part of the static potential in local unitary gauges such as the F12 gauge. We also study the flux-tube profile between the quark and antiquark in these local unitary gauges and find a clear signal of the dual Meissner effect. The Abelian electric field is found to be squeezed into a flux tube by the monopole supercurrent. This feature is the same as that observed in the non-local maximally Abelian gauge. These results suggest that the Abelian confinement scenario is gauge independent. Observing the important role of space-like monopoles in the Polyakov gauge also indicates that the monopoles defined on the lattice do not necessarily correspond to those proposed by 't Hooft in the context of Abelian projection.