1305.6846 (Adrian Dumitru et al.)

Two-loop perturbative corrections to the thermal effective action in
gluodynamics    [PDF]

Adrian Dumitru, Yun Guo, Chris P. Korthals Altes

The thermodynamics of pure glue theories can be described in terms of an effective action for the Polyakov loop. This effective action is of the Landau-Ginzburg type and its variables are the angles parametrizing the loop. In this paper we compute perturbative corrections to this action. Remarkably, two loop corrections turn out to be proportional to the one loop action, independent of the eigenvalues of the loop. By a suitable generalization of the 't Hooft coupling this surprisingly simple result holds for any of the classical and exceptional groups.

View original: http://arxiv.org/abs/1305.6846