Equation of State of Gluon Plasma from Local Action

Abstract

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 Lindé 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.

14 pages. Version 3 contains a more physical and clearer derivation which explains the relation of the result to the cut-off at the Gribov horizon

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• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Properties of Color-Coulomb String Tension
• Energy spectrum of the low-lying gluon excitations in the Coulomb gauge
• Renormalization in Coulomb-gauge QCD within the Lagrangian formalism

Cited by in corpus (16)

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• Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action
• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement
• Shear and bulk viscosity of quark-gluon plasma with Gribov gluons and quasiparticle quarks
• Electromagnetic Debye mass within Gribov-Zwanziger action
• On the Equation of State of the Gluon Plasma
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma
• One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
• Gribov horizon, Polyakov loop and finite temperature