大N极限下强相互作用胶子等离子体的热力学
Thermodynamics of the strongly interacting gluon plasma in the large-N limit
摘要：
本文报道了我们最近对SU（N）规范理论（N=3，4，5，6，8色）在0.8 ~ 3.4 T_c（T_c为临界退禁闭温度）范围内的平衡态热力学观测量的研究。结果表明，这表明一个非常弱的依赖于颜色的数量，比较规范/重力模型的QCD等离子体，包括改进的全息QCD模型提出的Kiritsis和合作者，并与超重力预测的熵密度赤字。此外，我们还研究了在接近T_c的温度下，痕量异常可能接受与T^2成比例的贡献的可能性。最后，我们给出了N趋于无穷大时的压强、迹线异常、能量和熵密度的外推结果。
英文摘要：
We report on our recent study of equilibrium thermodynamic observables in SU(N) gauge theories with N=3, 4, 5, 6 and 8 colors at temperatures T in the range from 0.8 T_c to 3.4 T_c (where T_c denotes the critical deconfinement temperature). The results, which show a very weak dependence on the number of colors, are compared with gauge/gravity models of the QCD plasma, including the improved holographic QCD model proposed by Kiritsis and collaborators, and with the supergravity prediction for the entropy density deficit. Furthermore, we investigate the possibility that the trace anomaly may receive contributions proportional to T^2 at temperatures close to T_c. Finally, we present the extrapolated results for the pressure, trace anomaly, energy and entropy densities in the limit for N going to infinity.
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