On the Equation of State of the Gluon Plasma
Abstract
We consider a local, renormalizable, BRST-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields. It possess a non-perturbative vacuum that spontaneously breaks BRST-invariance. The vacuum condition leads to a gap equation that introduces a mass scale. Calculations are done to one-loop order in a perturbative expansion about this vacuum. They are free of the finite-T infrared divergences found by Lind\'e and which occur in the order g6 corrections to the Stefan-Boltzmann equation of state. We obtain a finite result for these corrections.
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