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

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arxiv 0711.0868 v2 pith:EHUL6KWZ submitted 2007-11-06 hep-lat hep-ph

Adrian Dumitru , Dominik Smith This is my paper · ORCID
classification hep-lathep-ph
keywords wilsondimensionseffectiveeigenvaluelinesphaserepulsiontheory
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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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