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 Lindé and which occur in the order $g^6$ corrections to the Stefan-Boltzmann equation of state. We obtain a finite result for these corrections.

Comments: 8 pages, Talk given at Quark Confinement and Hadron Spectrum VII, 2-7 September, 2006, Ponta Delgada, Azores, Portugal