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arXiv 0801.2173hep-ph
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QCD和N=4 SYM中次领先阶重夸克扩散

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

Simon Caron-Huot, Guy D. Moore

摘要:

本文详细计算了热的弱耦合QCD等离子体中重夸克的动量扩散系数。在O(g_s)处出现修正;物理上它们代表重叠散射之间的干涉,以及软电标度(p ~ gT)规范场物理,我们使用硬热环(HTL)有效理论来处理。在三色三味QCD中,基本表象重夸克在非线性光学下的动量扩散常数为kappa =(16π/3)α_s^2 T^3(log(1/g)+ 0.07428 + 1.9026 g)。在大N_c,N=4的超杨-米尔斯理论中,我们将计算推广到一个重的基本表示“探测”夸克,结果是kappa^{SYM}=(λ 2 T^3)(6π)(log(1/ \sqrt λ)+ 0.4304 + 0.8010 \sqrt{lambda})(λ =g_s^2 N_c是t 'Hooft耦合).在缺乏某些再确认技术的情况下,微扰理论的收敛性很差。

英文摘要:

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 = (16π/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)(6π) (log(1/\sqrtλ) + 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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