Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop

Abstract

We calculate the colour averaged and colour singlet free energies of static quark anti-quark sources placed in a thermal gluonic heat bath. We discuss the renormalization of these free energies using the short distance properties of the zero temperature heavy quark potential. This leads to the definition of the renormalized Polyakov loop as an order parameter for the deconfinement phase transition of the SU(3) gauge theory which is well behaved in the continuum limit.

arXiv comment12 pages, 4 figures, revised version

References in corpus (9)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• The Nf=0 heavy quark potential from short to intermediate distances
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Degrees of Freedom and the Deconfining Phase Transition
• Testing perturbation theory on the nf=0 static quark potential
• Non-perturbative formulation of the static color octet potential
• String Tension and Thermodynamics with Tree Level and Tadpole Improved Actions
• The Calculation of Critical Amplitudes in SU(2) Lattice Gauge Theory

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