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arXiv 2211.06985hep-phnucl-th
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在热且磁化的夸克胶子等离子体中运动的重夸克的非微扰扩散

Non-perturbative diffusion of Heavy Quark moving in a hot and magnetised Quark Gluon Plasma

Surasree Mazumder, Vinod Chandra, Santosh K Das

AI总结:

该研究构建了包含微扰与非微扰QCD的理论框架,计算了热且磁化QGP中粲夸克的扩散系数,发现低温低动量下非微扰贡献占优,高温高动量下微扰贡献占优。

摘要:

重夸克(HQs)是理解重离子碰撞(HICs)中产生的、由轻夸克和胶子组成的解禁闭热QCD介质各种特性的优良探针。非中心重离子碰撞中的强磁场可能显著影响重夸克在该介质中的动力学。探索磁场对重夸克的微扰和非微扰输运系数的影响是一项引人入胜的工作。这需要开发一个全面的理论框架,以容纳非微扰量子色动力学(npQCD)描述以及微扰QCD(pQCD)。目前的工作提供了这样的表述,其中热且磁化的QCD介质中的夸克偶素势被实现为有效胶子传播子,用于计算在存在强但均匀的磁场的情况下,重夸克与热夸克胶子等离子体(QGP)介质内的轻部分子之间的弹性散射速率。对于短程汤川势(pQCD)和长程禁闭/非微扰势(npQCD),分别计算了粲夸克在速度平行于磁场和垂直于磁场的两种情况下的扩散系数。在低温和低到中等粲夸克动量范围内,非微扰贡献占主导地位。随着粲夸克动量以及介质温度的增加,pQCD开始赶上npQCD的贡献,最终在更高的温度和粲夸克动量下占优势。

英文摘要:

Heavy Quarks (HQs) serve as excellent probes to understand various characteristics of deconfined hot QCD medium, comprising light quarks and gluons, created in the Heavy Ion Collisions (HICs). Strong magnetic fields in non-central HICs may significantly affect HQ dynamics in this medium. Exploring the impact of the magnetic field on the perturbative and non-perturbative transport coefficients of HQ is an intriguing endeavor. This necessitates the development of a comprehensive theoretical framework accommodating the non-perturbative Quantum Chromo Dynamics(npQCD) description alongside perturbative QCD(pQCD). The present work provides such a formulation in which Quarkonium potential in the hot and magnetic QCD medium is implemented as the effective gluon propagator to calculate the rate of elastic scattering between HQ and the light partons inside a medium of hot Quark Gluon Plasma(QGP) in the presence of a strong but uniform magnetic field. Diffusion coefficients of a charm quark have been computed for a short-range Yukawa potential ( pQCD) as well as a long-range confining/non-perturbative potential (npQCD) for two cases in which the velocity of the charm quark is parallel and perpendicular to the magnetic field respectively. Non-perturbative contribution is seen to dominate over the perturbative one in the regime of low temperatures and low to intermediate momenta of charm quark. As the momentum of charm quark as well as the temperature of the medium increase pQCD starts to gain on the npQCD contribution, ultimately prevailing at higher temperatures and charm momenta.

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