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arXiv 1006.0655hep-phhep-latnucl-th
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QGP及其大$N_c$极限的最小准粒子方法

A minimal quasiparticle approach for the QGP and its large-$N_c$ limits

F Buisseret, G Lacroix

摘要:

我们提出了一个准粒子的方法,允许计算状态方程的通用规范理论与规范群SU($N_c$)和夸克在任意表示。我们的形式依赖于热准粒子质量(夸克和胶子)计算从硬热环技术,其中使用标准的两个循环运行耦合常数。我们的模型是最小的,在这个意义上,我们不允许任何额外的关于运行耦合的温度依赖性的anterior。我们首先表明,它是能够重现最近的状态方程计算的晶格温度高于2 $T_c$。在这个温度范围内,确实期望理想气体框架是相关的。然后研究了各种不等价的大$N_c$极限对QCD结果描述的准确性,以及QCD $_{AS}$极限与${\cal N}=1$ SUSY Yang-Mills理论的等价性。最后,我们估计了$Υ$介子的离解温度,并讨论了在不同的大$N_c$极限下估计的稳定性。

英文摘要:

We propose a quasiparticle approach allowing to compute the equation of state of a generic gauge theory with gauge group SU($N_c$) and quarks in an arbitrary representation. Our formalism relies on the thermal quasiparticle masses (quarks and gluons) computed from Hard-Thermal-Loop techniques, in which the standard two-loop running coupling constant is used. Our model is minimal in the sense that we do not allow any extra ansatz concerning the temperature-dependence of the running coupling. We first show that it is able to reproduce the most recent equations of state computed on the lattice for temperatures higher than 2 $T_c$. In this range of temperatures, an ideal gas framework is indeed expected to be relevant. Then we study the accuracy of various inequivalent large-$N_c$ limits concerning the description of the QCD results, as well as the equivalence between the QCD$_{AS}$ limit and the ${\cal N}=1$ SUSY Yang-Mills theory. Finally, we estimate the dissociation temperature of the $Υ$-meson and comment on the estimations' stability regarding the different considered large-$N_c$ limits.

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