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Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order

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arxiv 0801.2173 v1 pith:CYVFPVZO submitted 2008-01-14 hep-ph

Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order

classification hep-ph
keywords heavylambdaquarkdiffusiontheoryfundamentalkappamomentum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the full details of a calculation at next-to-leading order of the momentum diffusion coefficient of a heavy quark in a hot, weakly coupled, QCD plasma. Corrections arise at O(g_s); physically they represent interference between overlapping scatterings, as well as soft, electric scale (p ~ 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 = (16\pi/3) alpha_s^2 T^3 (log(1/g) + 0.07428 + 1.9026 g). We extend the computation to a heavy fundamental representation ``probe'' quark in large N_c, N=4 Super Yang-Mills theory, where the result is kappa^{SYM}= (lambda^2 T^3)(6\pi) (log(1/\sqrt{\lambda}) + 0.4304 + 0.8010 \sqrt{lambda}) (where lambda=g_s^2 N_c is the t'Hooft coupling). In the absence of some resummation technique, the convergence of perturbation theory is poor.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Momentum Dependence of Heavy Quark Diffusion in a Thermal Gluonic Plasma on the Lattice

    hep-lat 2026-06 unverdicted novelty 7.0

    A lattice QCD method is proposed to compute the momentum dependence of heavy quark drag and diffusion coefficients in a thermal gluonic plasma.

  2. Momentum Dependence of Heavy Quark Diffusion in a Thermal Gluonic Plasma on the Lattice

    hep-lat 2026-06 unverdicted novelty 7.0

    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.

  3. Heavy Quark Transport is Non-Gaussian Beyond Leading Log

    hep-ph 2026-04 unverdicted novelty 7.0

    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.

  4. Stochastic Dynamics of Heavy Quarks in Strongly Coupled Plasma

    hep-ph 2026-06 unverdicted novelty 6.0

    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.

  5. Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs

    hep-th 2026-06 unverdicted novelty 2.0

    Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.