Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-10-02
Phys.Rev.D76:125014,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages. Version 3 contains a more physical and clearer derivation which explains the relation of the result to the cut-off a
Scientific paper
10.1103/PhysRevD.76.125014
We review recent analytic and numerical results concerning the confinement scenario in Coulomb gauge. We then consider a local, renormalizable, BRST-invariant action for QCD in Coulomb gauge that contains auxiliary bose and fermi ghost fields and sources. When the auxiliary fields are integrated out, one obtains the standard Coulomb gauge action with a cut-off at the Gribov horizon. We use the local formulation to calculate the leading correction to the Stefan-Boltzmann equation of state at high temperature due to the cut-off at the Gribov horizon. It is of order $g^6$, which is precisely the order at which the infrared divergence found by Lind\'{e} divergence first occurs. No such divergence arises in the present calculation because the propagator of would-be physical gluons is suppressed in the infrared due to the proximity of the Gribov horizon in infrared directions.
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