arXiv 2210.030762022-10hep-ph

用Gribov-Zwanziger action估计重夸克的扩散系数

Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action

Sadaf Madni, Arghya Mukherjee, Aritra Bandyopadhyay, Najmul Haque

备注：: 9 pages, 3 figures, published version
DOI：: 10.1016/j.physletb.2023.137714

摘要：

重夸克动量扩散系数（$κ$）是重夸克动力学朗之万描述的重要组成部分。在与重离子碰撞现象相关的温度范围内，$κ$的晶格估计与硬热环（HTL）微扰理论的首阶（LO）结果之间存在很大差异.此外，在次领先阶（NLO）微扰分析的收敛性差的迹象，促使了几种方法的发展，将非微扰效应的重夸克现象学。在这项工作中，我们估计重夸克扩散系数的Gribov-Zwanziger处方的基础上。在这个框架中，胶子传播子依赖于依赖于温度的Gribov质量参数，该参数已从单圈能隙方程自洽地获得。在分析中对这种修正的胶子传播子进行了解释，在模型不确定性的范围内，我们发现它与现有的$κ$的格点估计有着合理的一致性。

英文摘要：

The heavy quark momentum diffusion coefficient ($κ$) is one of the most essential ingredients for the Langevin description of heavy quark dynamics. In the temperature regime relevant to the heavy ion collision phenomenology, a substantial difference exists between the lattice estimations of $κ$ and the corresponding leading order (LO) result from the hard thermal loop (HTL) perturbation theory. Moreover, the indication of poor convergence in the next-to-leading order (NLO) perturbative analysis has motivated the development of several approaches to incorporate the non-perturbative effects in the heavy quark phenomenology. In this work, we estimate the heavy quark diffusion coefficient based on the Gribov-Zwanziger prescription. In this framework, the gluon propagator depends on the temperature-dependent Gribov mass parameter, which has been obtained self-consistently from the one-loop gap equation. Incorporating this modified gluon propagator in the analysis, we find a reasonable agreement with the existing lattice estimations of $κ$ within the model uncertainties.

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英文摘要：

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