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 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.

10 pages, 16 figures, v2: published version (minor clarifications, update of reference list)

References in corpus (8)

• Effective Theory of Wilson Lines and Deconfinement
• Z(3)-symmetric effective theory for SU(3) Yang-Mills theory at high temperature
• Phase Structure of Z(3)-Polyakov-Loop Models
• Framework for non-perturbative analysis of a Z(3)-symmetric effective theory of finite temperature QCD
• Polyakov loop in different representations of SU(3) at finite temperature
• Screening masses in the SU(3) pure gauge theory and universality
• Screening masses in the SU(3) pure gauge theory and universality
• High temperature phase of QCD

Cited by in corpus (18)

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• How Wide is the Transition to Deconfinement?
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• Three-dimensional physics and the pressure of hot QCD
• Small shear viscosity in the semi quark gluon plasma
• Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
• Center-Symmetric Effective Theory for High-Temperature SU(2) Yang-Mills Theory
• Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues
• Zero Point Energy of Renormalized Wilson Loops
• Finite-temperature phase transitions of third and higher order in gauge theories at large $N$
• Free energy of a Holonomous Plasma
• Exotic phases of finite temperature SU(N) gauge theories
• Exotic phases of finite temperature SU(N) gauge theories with massive fermions: F, Adj, A/S
• Effective potential for Polyakov loops from a center symmetric effective theory in three dimensions
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills
• Center-symmetric dimensional reduction of hot Yang-Mills theory