Nuclear Physics & RIKEN Theory Seminar

"Equation of State of Gluon Plasma from Local Action"

Presented by Daniel Zwanziger, New York University

Friday, November 3, 2006, 2:00 pm — Small Seminar Room, Bldg. 510

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 $g^6$ corrections to the Stefan-Boltzmann equation of state. We obtain a finite result for these corrections. We calculate the ghost propagator and color-Coulomb potential to one-loop and find that they are long range, whereas the 3-dimensionally transverse would-be physical gluon propagator is suppressed like ${\bf k}^2$ at small $|{\bf k}|$. These one-loop results accord with the Gribov scenario in Coulomb gauge and with recent numerical determinations of these quantities. When the auxiliary fields are integrated out, one obtains the standard Coulomb
gauge action with a cut-off at the Gribov horizon.

Hosted by: Tuomas Lappi

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