Dimension two condensates and the Polyakov loop above the deconfinement phase transition

Abstract

We show that recent available lattice data for the renormalized Polyakov loop above the deconfinement phase transition exhibit unequivocal inverse power temperature corrections driven by a dimension 2 gluon condensate. This simple ansatz provides a good overall description of the data throughout the deconfinement phase until near the critical temperature with just two parameters. One of the parameters is consistent with perturbation theory while a second, non perturbative, parameter provides a numerical value of the condensate which is close to existing zero and finite temperature determinations.

13 pages, 4 figures, extended version

References in corpus (20)

• QCD forces and heavy quark bound states
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• The pressure of hot QCD up to g^6 ln(1/g)
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Free Energy of QCD at High Temperature
• The Pressure in 2, 2+1 and 3 Flavour QCD
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
• The infrared behaviour of the static potential in perturbative QCD
• Testing Landau gauge OPE on the Lattice with a $<A^2>$ Condensate
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• How to resum long-distance contributions to the QCD pressure?
• Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory
• Landau-gauge condensates from the quark propagator on the lattice
• The Relevant Scale Parameter in the High Temperature Phase of QCD
• The thermal heat kernel expansion and the one-loop effective action of QCD at finite temperature
• A New Dimensionally Reduced Effective Action for QCD at High Temperature
• Modified instanton profile effects from lattice Green functions
• Four-loop logarithms in 3d gauge + Higgs theory

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• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
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