How to compute the thermal quarkonium spectral function from first principles?

In the limit of a high temperature T and a large quark-mass M , implying a small gauge coupling g , the heavy quark contribution to the spectral function of the electromagnetic current can be computed systematically in the weak-coupling expansion. We argue that the scale hierarchy relevant for addressing the disappearance (“melting”) of the resonance peak from the spectral function reads M ≫ T > g 2 M > g T ≫ g 4 M , and review how the heavy scales can be integrated out one-by-one, to construct a set of effective field theories describing the low-energy dynamics. The parametric behaviour of the melting temperature in the weak-coupling limit is specified.

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8 pages/ to appear in the Proceedings of SEWM08, Amsterdam, the Netherlands, August 26-29, 2008

14.40.Nd
12.38.Bx
11.10.Wx
12.38.Mh
Thermal field theory
Perturbative QCD
Quarkgluon plasma
Bottom mesons
Quark–gluon plasma

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