The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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17 pages, new references added, version published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.80.014007

We determine finite temperature corrections to the heavy-quark (static) potential as a function of the shear viscosity to entropy density ratio in a strongly coupled, large-$N_c$ conformal field theory dual to five-dimensional Gauss-Bonnet gravity. We find that these corrections are even smaller than those predicted by perturbative QCD at distances relevant for small bound states in a deconfined plasma. Obtaining the dominant temperature and viscosity dependence of quarkonium binding energies will require a theory where conformal invariance is broken in such a way that the free energy associated with a single heavy quark is not just a pure entropy contribution.

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