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arXiv 2103.14440hep-phhep-exnucl-exnucl-th
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磁场对喷注输运系数 $\hat{q}$ 的影响

Effect of magnetic field on jet transport coefficient $\hat{q}$

Debjani Banerjee, Prottoy Das, Souvik Paul, Abhi Modak, Ankita Budhraja, Sabyasachi Ghosh, Sidharth K. Prasad

AI总结:

本文采用含温度与磁场依赖简并因子的准粒子模型,估算有无磁场时夸克和胶子喷注的 $\hat{q}$,发现低温下磁场显著增强该系数且两类喷注存在定量差异。

摘要:

我们报告了在无磁场和有磁场情况下,使用简单的准粒子模型对夸克引发喷注和胶子引发喷注的喷注输运系数 $\hat{q}$ 所作的估算。该模型引入了一个依赖于温度和磁场的部分子简并因子,该因子通过拟合格点量子色动力学数据的熵密度来调节。在有限磁场下,夸克喷注的 $\hat{q}$ 分裂为平行分量和垂直分量,它们对磁场的依赖来自两个来源:依赖于场的简并因子,以及由剪切黏度与熵密度之比引导的相空间部分。由于胶子的电中性性质,胶子喷注 $\hat{q}$ 的估算仅受依赖于场的简并因子影响。在存在有限磁场时,我们发现夸克引发喷注和胶子引发喷注的 $\hat{q}$ 在低温下均显著增强,并随温度升高而逐渐减小。我们将所得结果与早先基于 anti-de Sitter/conformal field theory(反德西特/共形场论)对偶的计算进行了比较,观察到定性上相似的趋势。然而,在磁场存在下 $\hat{q}$ 的变化对夸克引发喷注和胶子引发喷注在定量上有所不同。这是一个有趣的观测结果,可通过实验加以探究,以验证磁场对 $\hat{q}$ 的影响。

英文摘要:

We report the estimation of jet transport coefficient, $\hat{q}$ for quark- and gluon-initiated jets using a simple quasi-particle model in absence and presence of magnetic field. This model introduces a temperature and magnetic field-dependent degeneracy factor of partons, which is tuned by fitting the entropy density of lattice quantum chromodynamics data. At a finite magnetic field, $\hat{q}$ for quark jets splits into parallel and perpendicular components whose magnetic field dependence comes from two sources: the field-dependent degeneracy factor and the phase space part guided from the shear viscosity to entropy density ratio. Due to the electrically neutral nature of gluons, the estimation of $\hat{q}$ for gluon jets is affected only by the field-dependent degeneracy factor. In presence of a finite magnetic field, we find a significant enhancement in $\hat{q}$ for both quark- and gluon-initiated jets at low temperature, which gradually decreases towards high temperature. We compare the obtained results with the earlier calculations based on the anti-de Sitter/conformal field theory correspondence, and a qualitatively similar trend is observed. The change in $\hat{q}$ in presence of magnetic field is, however, quantitatively different for quark- and gluon-initiated jets. This is an interesting observation which can be explored experimentally to verify the effect of magnetic field on $\hat{q}$.

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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