论文标题
JT重力和2D黑洞的Hawking-page Page过渡模型
JT gravity and the models of Hawking-Page transition for 2D black holes
论文作者
论文摘要
我们建议使用Abelian（$ U（1）$）以及$ SU（2）$ Yang-Mills（YM）字段的$ d = 5 $重力理论的紧凑型jackiw-teitelboim（JT）重力进行自上而下的结构。在该理论的扰动状态下，已经获得了对应于$ d = 2 $模型的背景解决方案，在该理论的扰动状态下，在将规格耦合作为扩展的参数视为量规耦合的同时，对校正进行了估计。我们的分析揭示了两类解决方案的存在，即（i）IR和LifShitz $ _2 $ in IR和LIFSHITZ $ _2 $的\ Emph {inthpolation}真空溶液中的UV（我们分析的热辐射背景）和（ii）（ii）表现出的2D Black Black Hole soluction the UV中（作为热辐射背景）展示了Lifshitz $ ________2 $ ___2 $ _2 $ _2 $ _2 $ _2 $ _2 $ _2 $ _22 $ _2 $ _2 $ _2 $ _2 $ _22热稳定性的分析揭示了在$ t \ sim t_0 $处的一阶相变的开始，因此对于$ t <t_0 $，唯一可能的状态是没有任何黑洞的热辐射背景。另一方面，随着温度的逐渐升高，超出了某些\ emph {Crossover}值$ t \ sim t_2（> t_0）$，已经观察到了稳定的黑洞主导的稳定的黑洞占主导地位的新兴\ emph {emph {emph {emph {> t_0）$，这清楚地表明了2D坟墓模型中霍金·雷金（Hawking Page）（HP）过渡的开始。
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.
