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arXiv 1712.04465hep-thhep-lathep-ph
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大$N$规范理论中的三阶和高阶相变

Finite-temperature phase transitions of third and higher order in gauge theories at large $N$

Hiromichi Nishimura, Robert D. Pisarski, Vladimir V. Skokov

备注：
37 pages, 9 figures
发表信息：
Phys. Rev. D 97, 036014 (2018)
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摘要：

本文用矩阵模型研究了非零温度下$SU(\infty)$规范理论中的相变。我们的基本假设是，有效势是由双迹项的Polyakov循环。作为与波利雅科夫回路中的线性、二次和四次项相关的各种参数的函数，相图呈现出通用结构。在这个参数空间的一个大的区域中，存在一个连续的相变，其阶数大于秒。这是Gross、Witten和Wadia（GWW）的相变的推广。根据矩阵模型的具体形式，特征值密度和相变附近比热的行为有很大的不同。我们推测，在纯规范理论中，尽管退变是一阶的，但它仍然可以在无限$N$上是共形对称的。

英文摘要：

We study phase transitions in $SU(\infty)$ gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the various parameters, related to terms linear, quadratic, and quartic in the Polyakov loop, the phase diagram exhibits a universal structure. In a large region of this parameter space, there is a continuous phase transition whose order is larger than second. This is a generalization of the phase transition of Gross, Witten, and Wadia (GWW). Depending upon the detailed form of the matrix model, the eigenvalue density and the behavior of the specific heat near the transition differ drastically. We speculate that in the pure gauge theory, that although the deconfining transition is thermodynamically of first order, it can be nevertheless conformally symmetric at infinite $N$.

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