Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills

TL;DR

This paper presents lattice simulations of a three-dimensional SU(2) effective theory incorporating perturbative and non-perturbative effects, revealing a phase diagram with eigenvalue repulsion near the deconfinement transition.

Contribution

It introduces a comprehensive effective theory for SU(2) Wilson lines including a fuzzy-bag term and maps its phase structure through lattice simulations.

Findings

Eigenvalue repulsion occurs above the deconfining transition.

The non-perturbative fuzzy-bag term influences phase behavior.

The phase diagram is mapped at moderate coupling.

Abstract

We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. Our action includes a kinetic term, the one-loop perturbative potential for the Wilson line, a non-perturbative "fuzzy-bag" contribution and spatial gauge fields. We determine the phase diagram of the theory and confirm that, at moderately weak coupling, the non-perturbative term leads to eigenvalue repulsion in a finite region above the deconfining phase transition.