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.

arXiv comment14 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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Cited by in corpus (38)

• Deconfinement transition in SU(N) theories from perturbation theory
• The gluon propagator close to criticality
• Massless Mode and Positivity Violation in Hot QCD
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• BRST Cohomology and Physical Space of the GZ Model
• Transport coefficients of the Gribov-Zwanziger plasma
• Dilepton rate and quark number susceptibility with the Gribov action
• A brief overview of hard-thermal-loop perturbation theory
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• An introduction to Thermal Field Theory and Some of its Application
• Gribov gap equation at finite temperature
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• Nonperturbative contributions to the QCD pressure
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• Covariant kinetic theory and transport coefficients for Gribov plasma
• Magnetic confinement and the Linde problem
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• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action
• Thermodynamics of an exactly solvable confining quark model
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• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Local QCD Action at Finite Temperature
• 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
• Once again on the Gribov horizon
• Strong-coupling effects in a plasma of confining gluons
• The Veneziano ghost, glost and gauge copies in QCD
• Electromagnetic Debye mass within Gribov-Zwanziger action
• General Formalism For the BRST Symmetry
• 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