arXiv 0812.14302008-12nucl-thhep-lathep-ph

格点量子色动力学的准粒子模型：重离子碰撞中夸克-胶子等离子体

Quasi-particle model for lattice QCD: quark-gluon plasma in heavy ion collisions

Vinod Chandra, V. Ravishankar

备注：: 10 pages, 8 figures, epj class file, version accepted for publication in Euro. Phys.J C
发表信息：: Eur.Phys.J.C64:63-72,2009
DOI：: 10.1140/epjc/s10052-009-1126-8

摘要：

本文提出了一个准粒子模型来描述纯SU（3）规范理论的格点量子色动力学状态方程，它是在$T \ge 1.5T_c$的退禁闭态下的.该方法涉及映射的相互作用部分的状态方程的有效逸度，否则非相互作用的准胶子。我们发现这个映射是准确的。利用准胶子分布函数，我们确定了单粒子能量的能量密度和修正的色散关系，其中出现了迹反常。作为应用，我们首先确定德拜质量，然后确定重要的输运参数，{ \it viz}，剪切粘度，$η$和剪切粘度与熵密度比，$η/{\mathcal S}$。我们发现，$η$和$η/{\mathcal S}$都对相互作用敏感，并且相互作用显著降低了$η$和$η/\mathcal S$。

英文摘要：

We propose a quasi-particle model to describe the lattice QCD equation of state for pure SU(3) gauge theory in its deconfined state, for $T \ge 1.5T_c$. The method involves mapping the interaction part of the equation of state to an effective fugacity of otherwise non-interacting quasi-gluons. We find that this mapping is exact. Using the quasi-gluon distribution function, we determine the energy density and the modified dispersion relation for the single particle energy, in which the trace anomaly is manifest. As an application, we first determine the Debye mass, and then the important transport parameters, {\it viz}, the shear viscosity, $η$ and the shear viscosity to entropy density ratio, $η/{\mathcal S}$. We find that both $η$ and $η/{\mathcal S}$ are sensitive to the interactions, and that the interactions significantly lower both $η$ and $η/\mathcal S$.

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