English

Two-loop perturbative corrections to the thermal effective potential in gluodynamics

High Energy Physics - Phenomenology 2014-01-10 v2 High Energy Physics - Theory Nuclear Theory

Abstract

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 straightforward generalization of the 't Hooft coupling this surprisingly simple result holds for any of the classical and exceptional groups.

Keywords

Cite

@article{arxiv.1305.6846,
  title  = {Two-loop perturbative corrections to the thermal effective potential in gluodynamics},
  author = {Adrian Dumitru and Yun Guo and Chris P. Korthals Altes},
  journal= {arXiv preprint arXiv:1305.6846},
  year   = {2014}
}

Comments

32 pages, 4 figures. title changed. some details added in Sec. II. typos corrected. final version in PRD

R2 v1 2026-06-22T00:24:38.291Z