A resummed perturbative estimate for the quarkonium spectral function in hot QCD

Abstract

By making use of the finite-temperature real-time static potential that was introduced and computed to leading non-trivial order in Hard Thermal Loop resummed perturbation theory in recent work, and solving numerically a Schrödinger-type equation, we estimate the quarkonium (in practice, bottomonium) contribution to the spectral function of the electromagnetic current in hot QCD. The spectral function shows a single resonance peak which becomes wider and then disappears as the temperature is increased beyond 450 MeV or so. This behaviour can be compared with recently attempted lattice reconstructions of the same quantity, based on the ``maximum entropy method'', which generically show several peaks. We also specify the dependence of our results on the spatial momentum of the electromagnetic current, as well as on the baryon chemical potential characterising the hot QCD plasma.

16 pages. v2: misprint fixed, minor additions

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• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
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• Can quarkonia survive deconfinement ?
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• Non-relativistic bound states at finite temperature (I): the hydrogen atom
• Quarkonium states in an anisotropic QCD plasma
• Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
• Potential Models for Quarkonia
• Lattice QCD at finite temperature and density
• How to compute the thermal quarkonium spectral function from first principles?
• On temperature dependence of quarkonium correlators
• Potential models and lattice correlators for quarkonia at finite temperature
• A limiting velocity for quarkonium propagation in a strongly coupled plasma via AdS/CFT
• Heavy quark medium polarization at next-to-leading order
• Quarkonium transport in thermal AdS/CFT
• On quarkonium in an anisotropic quark gluon plasma
• Effective field theories for heavy quarkonium at finite temperature
• Describing Charmonium Correlation Functions in Euclidean Time
• Quarkonium correlators at finite temperature and potential models
• Wilson Loop in Classical Lattice Gauge Theory and the Thermal Width of Heavy Quarkonium
• Transport and spectral functions in high-temperature QCD