Lattice simulations of a 3D effective gluonic plasma theory produce the first reported momentum dependence of heavy quark drag and diffusion coefficients in a non-perturbative non-Abelian thermal medium.
Caron-Huot and G
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abstract
We compute the momentum diffusion coefficient of a nonrelativistic heavy quark in a hot QCD plasma, to next-to-leading order in the weak coupling expansion. Corrections arise at O(g); physically they represent interference between overlapping scatterings, as well as soft, electric scale ($p\sim gT$) gauge field physics, which we treat using the hard thermal loop (HTL) effective theory. In 3-color, 3-flavor QCD, the momentum diffusion constant of a fundamental representation heavy quark at NLO is $\kappa = \frac{16\pi}{3} \alpha_s^2 T^3 (\ln \frac{1}{g} + 0.07428 + 1.8869 g)$. The convergence of the weak coupling expansion is poor.
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Heavy-quark momentum transfer beyond leading logarithm in weak-coupling plasmas is non-Gaussian with asymmetric exponential tails, matching the structure seen in strongly coupled holographic plasmas.
Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.
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Momentum Dependence of Heavy Quark Diffusion in a Thermal Gluonic Plasma on the Lattice
Lattice simulations of a 3D effective gluonic plasma theory produce the first reported momentum dependence of heavy quark drag and diffusion coefficients in a non-perturbative non-Abelian thermal medium.
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Heavy Quark Transport is Non-Gaussian Beyond Leading Log
Heavy-quark momentum transfer beyond leading logarithm in weak-coupling plasmas is non-Gaussian with asymmetric exponential tails, matching the structure seen in strongly coupled holographic plasmas.
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Stochastic Dynamics of Heavy Quarks in Strongly Coupled Plasma
Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.