Free energy for deformed Jackiw-Teitelboim gravity
Free energy for deformed Jackiw-Teitelboim gravity
复制标题
DOI：
10.1103/physrevd.103.046005
复制
发表时间：
2021-02-08
影响因子：
5
通讯作者：
Taghavi, Behrad
中科院分区：
文献类型：
--
作者：
Alishahiha, Mohsen;Astaneh, Amin Faraji;Taghavi, Behrad
在这篇文章中，我们研究了最近由Maxfield，Turiaci和Witten独立考虑的Jackiw-Teitelboim引力的一个特殊形变。在小扰动的低温极限下，我们将计算该模型的配分函数及其高阶关联子对亏格展开的所有阶数。在此极限下，所得结果与埃尔米特随机矩阵系综艾里极限的结果相吻合。利用这一结果，我们还将研究模型的自由能。人们观察到，尽管退火态的自由能具有病理行为，但在一定的假设下，用复制技巧计算的猝灭自由能在低温下表现出所需的性质。
In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci, and independently by Witten. We will compute the partition function of this model as well as its higher order correlators to all orders in genus expansion in the low temperature limit for small perturbations. In this limit, the results match with those obtained from the Airy limit of a Hermitian random matrix ensemble. Using this result, we will also study the free energy of the model. One observes that although the annealed free energy has pathological behaviors, under certain assumptions, the quenched free energy evaluated by replica trick exhibits the desired properties at low temperatures.