A way to estimate the heavy quark thermalization rate from the lattice

Details A way to estimate the heavy quark thermalization rate from the lattice A way to estimate the heavy quark thermalization rate from the lattice

2009-01-09

arxiv.org/abs/0901.1195v2

JHEP 0904:053,2009

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages. v2: clarifications and references added, published version

Scientific paper

10.1088/1126-6708/2009/04/053

The thermalization rate of a heavy quark is related to its momentum diffusion coefficient. Starting from a Kubo relation and using the framework of the heavy quark effective theory, we argue that in the large-mass limit the momentum diffusion coefficient can be defined through a certain Euclidean correlation function, involving color-electric fields along a Polyakov loop. Furthermore, carrying out a perturbative computation, we demonstrate that the spectral function corresponding to this correlator is relatively flat at small frequencies. Therefore, unlike in the case of several other transport coefficients, for which the narrowness of the transport peak makes analytic continuation from Euclidean lattice data susceptible to severe systematic uncertainties, it appears that the determination of the heavy quark thermalization rate could be relatively well under control.

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