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arXiv 1909.04592hep-thhep-lat
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Yang-Mills矩阵模型中的热相变

Thermal phase transition in Yang-Mills matrix model

Georg Bergner, Norbert Bodendorfer, Masanori Hanada, Enrico Rinaldi, Andreas Schafer, Pavlos Vranas

备注：
35 pages. 24 figures. Updated references. Version accepted for publication on JHEP
发表信息：
J. High Energ. Phys. (2020) 2020: 53
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摘要：

研究了作为二维极大超对称SU（$N$）Yang-Mills理论高温极限的玻色矩阵模型。到目前为止，还没有达成共识的顺序，在这个理论的解除禁闭过渡，这阻碍了理解的性质的黑洞/黑弦拓扑结构的变化从规范/引力对偶的角度。一方面，以前的工作认为，解除禁闭过渡符合两个过渡，这是第二和第三阶。另一方面，最近提出了一阶转变的证据。我们在大$N$和小晶格间距下进行高统计晶格蒙特卡罗模拟，以确定该转变确实是一级的。我们的研究结果提示了一个警告，即在早期的出版物中可能没有达到所需的大$N$和连续极限，这是差异的来源。此外，我们的详细结果证实了存在一个新的部分退禁闭相，它描述了非均匀黑弦通过规范/引力对偶。这一阶段表现出量子场论已经预言的普遍特征。

英文摘要：

We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional maximally supersymmetric SU($N$) Yang-Mills theory. So far, no consensus about the order of the deconfinement transition in this theory has been reached and this hinders progress in understanding the nature of the black hole/black string topology change from the gauge/gravity duality perspective. On the one hand, previous works considered the deconfinement transition consistent with two transitions which are of second and third order. On the other hand, evidence for a first order transition was put forward more recently. We perform high-statistics lattice Monte Carlo simulations at large $N$ and small lattice spacing to establish that the transition is really of first order. Our findings flag a warning that the required large-$N$ and continuum limit might not have been reached in earlier publications, and that was the source of the discrepancy. Moreover, our detailed results confirm the existence of a new partially deconfined phase which describes non-uniform black strings via the gauge/gravity duality. This phase exhibits universal features already predicted in quantum field theory.

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