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arXiv 2005.08018hep-th
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二维黑洞的JT引力和Hawking-Page跃迁模型

JT gravity and the models of Hawking-Page transition for 2D black holes

Arindam Lala, Hemant Rathi, Dibakar Roychowdhury

备注：
Latex, 17 pages, multiple figures, Revised version, Accepted for publication in PRD
发表信息：
Phys. Rev. D 102, 104024 (2020)
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摘要：

本文提出了一种自顶向下的Jackiw-Teitelboim（JT）引力的构造方法，它是在Abel（$ U(1) $）和$ SU(2) $ Yang-Mills（YM）场存在的情况下，利用$ D=5 $引力理论的紧化.在理论微扰区得到了$ D=2 $模型的本底解，并以规范耦合为展开参数，对不带电的JT解进行了修正。我们的分析揭示了两类解决方案的存在，即（i）\emph{interpolating}真空解决方案与AdS $_2$在IR和Lifshitz $_2$在UV（作为我们的分析的热辐射背景）和（ii）带电的二维黑洞解决方案表现出Lifshitz $_2$渐近。对热稳定性的分析揭示了在$ T \sim T_0 $处一级相变的开始，使得对于$ T < T_0 $，唯一可能的状态是没有黑洞的热辐射背景。另一方面，随着温度逐渐升高超过一定的\emph{crossover}值$ T\sim T_2 (>T_0 )$，观察到一个新兴的\emph{globally}稳定黑洞主导相，这清楚地表明2D重力模型中霍金-佩奇（HP）转变的开始。

英文摘要：

We propose a top down construction for Jackiw-Teitelboim (JT) gravity using compactification of $ D=5 $ gravity theories in the presence of Abelian ($ U(1) $) as well as $ SU(2) $ Yang-Mills (YM) fields. The background solutions corresponding to $ D=2 $ model have been obtained in the perturbative regime of the theory where the corrections have been estimated over the uncharged JT solutions while treating the gauge couplings as the parameters of the expansion. Our analysis reveals the existence of two classes of solutions namely, (i) the \emph{interpolating} vacuum solution with AdS$_2$ in the IR and Lifshitz$_2$ in the UV (which serves as the thermal radiation background for our analysis) and (ii) the charged 2D black hole solution exhibiting Lifshitz$_2$ asymptotics. The analysis on thermal stability reveals the onset of a first order phase transition at $ T \sim T_0 $ such that for $ T < T_0 $ the only possible state is the thermal radiation background without any black hole. On the other hand, as the temperature is gradually increased beyond certain \emph{crossover} value $ T\sim T_2 (>T_0 )$, an emerging \emph{globally} stable black hole dominated phase has been observed which clearly indicates the onset of Hawking-Page (HP) transition in 2D gravity models.

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