Nonperturbative estimate of the heavy quark momentum diffusion coefficient

Francis, A.; Kaczmarek, O.; Laine, Mikko Sakari; Neuhaus, T.; Ohno, H. (2015). Nonperturbative estimate of the heavy quark momentum diffusion coefficient. Physical review. D - particles, fields, gravitation, and cosmology, 92(11) American Physical Society 10.1103/PhysRevD.92.116003

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We estimate the momentum diffusion coefficient of a heavy quark within a pure SU(3) plasma at a temperature of about 1.5Tc. Large-scale Monte Carlo simulations on a series of lattices extending up to 1923×48 permit us to carry out a continuum extrapolation of the so-called color-electric imaginary-time correlator. The extrapolated correlator is analyzed with the help of theoretically motivated models for the corresponding spectral function. Evidence for a nonzero transport coefficient is found and, incorporating systematic uncertainties reflecting model assumptions, we obtain κ=(1.8–3.4)T3. This implies that the “drag coefficient,” characterizing the time scale at which heavy quarks adjust to hydrodynamic flow, is η−1D=(1.8–3.4)(Tc/T)2(M/1.5  GeV)  fm/c, where M is the heavy quark kinetic mass. The results apply to bottom and, with somewhat larger systematic uncertainties, to charm quarks.

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