Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues

Abstract

We simulate SU(2) gauge theory at temperatures ranging from slightly below $T_c$ to roughly $2T_c$ for two different values of the gauge coupling. Using a histogram method, we extract the effective potential for the Polyakov loop and for the phases of the eigenvalues of the thermal Wilson loop, in both the fundamental and adjoint representations. We show that the classical potential of the fundamental loop can be parametrized within a simple model which includes a Vandermonde potential and terms linear and quadratic in the Polyakov loop. We discuss how parametrizations for the other cases can be obtained from this model.

16 pages, 39 figures

References in corpus (8)

• SU(N) gauge theories at large N
• Renormalized Polyakov loops in many representations
• Effective Theory of Wilson Lines and Deconfinement
• How Wide is the Transition to Deconfinement?
• Fixed Scale Approach to Equation of State in Lattice QCD
• Continuum Thermodynamics of the GluoN_c Plasma
• Finite temperature SU(2) gauge theory: critical coupling and universality class
• Lattice simulation of a center symmetric three-dimensional effective theory for SU(2) Yang-Mills

Cited by in corpus (22)

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• Two-colour QCD with heavy quarks at finite densities
• Collisional energy loss above the critical temperature in QCD
• Fractality and other properties of center domains at finite temperature Part 1: SU(3) lattice gauge theory
• Finite-temperature phase transitions of third and higher order in gauge theories at large $N$
• The Polyakov loop in various representations in the confined phase of QCD
• Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice
• Effective models of a semi-quark gluon plasma
• Free energy of a Holonomous Plasma
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Baryonic Matter Onset in Two-Color QCD with Heavy Quarks
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• Quarks and Triality in a Finite Volume
• A window on infrared QCD with small expansion parameters
• Effective Lagrangian for the Polyakov line on a lattice
• Wilson loops in the Hamiltonian formalism
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• Deconfinement phase transition in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge