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

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

2007-04-13

arxiv.org/abs/0704.1720v2

JHEP 0705:028,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages. v2: misprint fixed, minor additions

Scientific paper

10.1088/1126-6708/2007/05/028

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 Schr\"odinger-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.

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