Eigenvalue repulsion in an effective theory of SU(2) Wilson lines in three dimensions

Abstract

We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. We include a nonperturbative ``fuzzy-bag'' contribution, which is added to the one-loop perturbative potential for the Wilson line. We confirm that, at moderately weak coupling, this leads to eigenvalue repulsion in a finite region above the deconfining phase transition, which shrinks in the extreme weak-coupling limit. A nontrivial $Z(N)$ symmetric vacuum arises in the confined phase.