Static potentials for quarkonia at finite temperatures

Details Static potentials for quarkonia at finite temperatures Static potentials for quarkonia at finite temperatures

2008-10-26

arxiv.org/abs/0810.4685v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.nuclphysa.2009.01.016

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.

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