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arXiv · 1307.6339

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

Dominik Smith·Adrian Dumitru·Robert Pisarski·Lorenz von Smekal
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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.

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Dominik Smith, Adrian Dumitru, Robert Pisarski, Lorenz von Smekal. 2013-07-24. Effective potential for SU(2) Polyakov loops and Wilson loop eigenvalues. https://doi.org/10.1103/physrevd.88.054020

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