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arXiv 2602.08155hep-phnucl-th
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无质量夸克-胶子气体在化学平衡下的剪切粘度包含所有2↔2散射截面

Shear viscosity of a massless quark-gluon gas in chemical equilibrium in terms of all $2\leftrightarrow 2$ cross sections

East Carolina University(东卡罗来纳大学)

Okey Ohanaka, Zi-Wei Lin

AI总结:

本文通过 Chapman-Enskog 方法推导了无质量夸克-胶子气体在化学平衡下的剪切粘度,考虑所有 2↔2 散射截面,并验证了单物种极限下的关系。

摘要:

已知通过 Chapman-Enskog 方法得出的单粒子和双粒子种类的剪切粘度解析表达式以及考虑 2→2 弹性散射的 Boltzmann 统计。此外,已知在 2→2 弹性散射下的多物种强子气体的表达式。在此,我们利用 Chapman-Enskog 方法推导出在所有 2→2 部子散射(包括首次引入的非弹性散射)下处于化学平衡的无质量夸克-胶子气体的剪切粘度。然后,我们在一般单物种极限中验证该关系,其中夸克-胶子气体的剪切粘度应减少到单粒子种类的结果。此外,我们展示了在各向同性和能量无关散射截面的特殊情况下的显式解析结果。此处推导的解析关系可用于确定具有任意 2→2 散射截面的部子输运模型的剪切粘度。它们还可以与有限温度 QCD 散射截面结合,帮助研究夸克胶子等离子体的剪切粘度。

英文摘要:

The analytical expressions of the shear viscosity of both one and two particle species with Boltzmann statistics and $2 \rightarrow 2$ elastic scatterings are known from the Chapman-Enskog method and have been shown to be quite accurate. The expression for a multi-species hadronic gas under $2 \rightarrow 2$ elastic scatterings is also known. Here we use the Chapman-Enskog method to derive the explicit expression of shear viscosity of a massless quark-gluon gas of $N_f$ quark flavors in chemical equilibrium subjected to all $2 \rightarrow 2$ parton scatterings including for the first time inelastic scatterings. We then verify the expression in a general single-species limit, where the shear viscosity of the quark-gluon gas should reduce to the result for a single particle species. In addition, we show the explicit analytical result in terms of the seven independent cross sections for the special case of isotropic and energy-independent cross sections. The analytical expressions derived here can be useful for determining the shear viscosity of parton transport models with any $2 \rightarrow 2$ scattering cross sections. They can also be coupled with finite temperature QCD cross sections to help study the shear viscosity of the quark gluon plasma.

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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