Two-loop QCD gauge coupling at high temperatures

Details Two-loop QCD gauge coupling at high temperatures Two-loop QCD gauge coupling at high temperatures

2005-03-07

arxiv.org/abs/hep-ph/0503061v1

JHEP0503:067,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages

Scientific paper

10.1088/1126-6708/2005/03/067

We determine the 2-loop effective gauge coupling of QCD at high temperatures, defined as a matching coefficient appearing in the dimensionally reduced effective field theory. The result allows to improve on one of the classic non-perturbative probes for the convergence of the weak-coupling expansion at high temperatures, the comparison of full and effective theory determinations of an observable called the spatial string tension. We find surprisingly good agreement almost down to the critical temperature of the deconfinement phase transition. We also determine one new contribution of order O(g^6T^4) to the pressure of hot QCD.

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