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

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

2007-11-06

arxiv.org/abs/0711.0868v1

Phys.Rev.D77:094022,2008

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 16 figures

Scientific paper

10.1103/PhysRevD.77.094022

We perform simulations of an effective theory of SU(2) Wilson lines in three dimensions. We include a non-perturbative "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 non-trivial Z(N) symmetric vacuum arises in the confined phase.

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