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arXiv 0907.3719hep-lathep-phhep-thnucl-th
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QCD等离子体的热力学和大氮极限

Thermodynamics of the QCD plasma and the large-N limit

Marco Panero

摘要:

利用格子模拟方法,在大N极限下,研究了有限温度下SU(N)等离子体的平衡热力学性质。本文给出了在0.8 ~ 3.4 Tc(其中Tc表示临界退禁闭温度)温度范围内,N=3,4,5,6和8色SU(N)Yang-Mills理论的压强、能量动量张量迹、能量密度和熵密度的高精度数值计算结果.根据胶子数归一化的结果显示出对N的非常轻微的依赖性,这支持了强相互作用QCD等离子体的动力学可以基于大N模型来描述的观点。我们比较我们的数值数据与一般预期的热行为的退禁闭胶子等离子体和各种理论描述,包括,特别是,最近提出的Kiritsis和合作者的改进的全息QCD模型。我们还评论的相关性的AdS/CFT描述的QCD等离子体在一个唯象有趣的温度范围内的系统,而仍然强耦合,接近“准共形”制度的特征在于近似标度不变性。最后,我们将我们的结果外推到N到$\infty$极限。

英文摘要:

The equilibrium thermodynamic properties of the SU(N) plasma at finite temperature are studied non-perturbatively in the large-N limit, via lattice simulations. We present high-precision numerical results for the pressure, trace of the energy-momentum tensor, energy density and entropy density of SU(N) Yang-Mills theories with N=3, 4, 5, 6 and 8 colors, in a temperature range from 0.8T_c to 3.4T_c (where T_c denotes the critical deconfinement temperature). The results, normalized according to the number of gluons, show a very mild dependence on N, supporting the idea that the dynamics of the strongly-interacting QCD plasma could admit a description based on large-N models. We compare our numerical data with general expectations about the thermal behavior of the deconfined gluon plasma and with various theoretical descriptions, including, in particular, the improved holographic QCD model recently proposed by Kiritsis and collaborators. We also comment on the relevance of an AdS/CFT description for the QCD plasma in a phenomenologically interesting temperature range where the system, while still strongly-coupled, approaches a `quasi-conformal' regime characterized by approximate scale invariance. Finally, we perform an extrapolation of our results to the N to $\infty$ limit.

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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