arXiv 0705.26902007-05nucl-thhep-phhep-th

热态QCD方程与相对论性重离子碰撞

Hot QCD equations of state and relativistic heavy ion collisions

Vinod Chandra, Ravindra Kumar, V. Ravishankar

备注：: 11 pages, fifteen figures, two column, accepted for publication in PRC
发表信息：: Phys.Rev.C76:054909,2007; Erratum-ibid.C76:069904,2007
DOI：: 10.1103/PhysRevC.76.054909 10.1103/PhysRevC.76.069904

摘要：

我们研究了最近提出的两个从高温QCD得到的状态方程，并展示了它们如何适用于相对论重离子碰撞的预测。该方法包括从状态方程中提取夸克和胶子的平衡分布函数，这反过来又将允许确定夸克-胶子等离子体的输运和其他整体性质。同时，该方法也给出了相互作用夸克和胶子的准粒子描述。第一个状态方程对QCD耦合常数是微扰的，贡献为$O(g^5)$。第二个状态方程是一个改进的第一个，与$ O(g^6 ln(\frac{1}{g}))$的贡献，它包含了非微扰硬热的贡献。相互作用的影响被证明是完全捕获的胶子和夸克的有效化学势，在这两种情况下。化学势被认为是高度敏感的EOS。作为一个应用程序，我们确定的筛选长度，确实是最重要的诊断QGP。根据所考虑的EOS，可以看出筛选长度的行为截然不同。从而给出了区分重离子碰撞中两种状态方程的方法。

英文摘要：

We study two recently proposed equations of state (EOS) which are obtained from high temperature QCD, and show how they can be adapted to use them for making predictions for relativistic heavy ion collisions. The method involves extracting equilibrium distribution functions for quarks and gluons from the EOS, which in turn will allow a determination of the transport and other bulk properties of the quark gluon plasma. Simultaneously, the method also yields a quasi particle description of interacting quarks and gluons. The first EOS is perturbative in the QCD coupling constant and has contributions of $O(g^5)$. The second EOS is an improvement over the first, with contributions upto $ O(g^6 ln(\frac{1}{g}))$; it incorporates the nonperturbative hard thermal contributions. The interaction effects are shown to be captured entirely by the effective chemical potentials for the gluons and the quarks, in both the cases. The chemical potential is seen to be highly sensitive to the EOS. As an application, we determine the screening lengths which are, indeed the most important diagnostics for QGP. The screening lengths are seen to behave drastically differently depending on the EOS considered., and yield, therefore, a way to distinguish the two equations of state in heavy ion collisions.

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