Static potentials for quarkonia at finite temperatures

Abstract

We review non-perturbative static potentials commonly used in potential models for quarkonia at finite T. Potentials derived from Polyakov loop correlators are shown to be inappropriate for this purpose. The q\bar{q} free energy is physical but has the wrong spatial decay and perturbative limit. The so-called singlet free energy is gauge dependent and unphysical. An appropriate static real time potential can be defined through a generalisation of pNRQCD to finite T. In perturbation theory, its real part reproduces the Debye-screened potential, its imaginary part accounts for Landau damping. Possibilities for its non-perturbative evaluation are discussed.

8 p. 3 figures; Invited talk at 'Strong and Electroweak Matter 2008', 26-29 August, Amsterdam, The Netherlands

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• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• Heavy Quark Interactions and Quarkonium Binding
• Quarkonium dissociation at finite chemical potential
• Ab Initio Calculation of Finite Temperature Charmonium Potentials
• Effective field theories for heavy quarkonium at finite temperature
• QCD equation of state in a virial expansion
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature