带电黑洞的类Van der Waals行为和双QFT中的滞后
Van der Waals-like Behaviour of Charged Black Holes and Hysteresis in the Dual QFTs
摘要：
使用规则的AdS/CFT对应，我们计算的球形模拟的剪切粘度，定义在延迟的格林函数的应力-能量张量的QFT双广义相对论的五维带电黑洞与负宇宙学常数。我们发现，这个数量和熵密度之间的比率，$\tildeη/s$，表现出依赖于温度的滞后。我们认为，这种滞后行为可以解释的范德瓦尔斯一样的字符充电黑洞，被视为物理系统。在临界电荷下，由于存在由亚稳定区域（中间黑洞）连接的两个稳定状态（大小黑洞），出现了滞后现象。势垒阻止了两个稳定状态之间的平衡路径;系统演化必须通过亚稳区域发生，并产生$\tildeη/s$的路径依赖性。
英文摘要：
Using the rules of the AdS/CFT correspondence, we compute the spherical analogue of the shear viscosity, defined in terms of the retarded Green function for the stress-energy tensor for QFTs dual to five-dimensional charged black holes of general relativity with a negative cosmological constant. We show that the ratio between this quantity and the entropy density, $\tildeη/s$, exhibits a temperature-dependent hysteresis. We argue that this hysteretic behaviour can be explained by the Van der Waals-like character of charged black holes, considered as thermodynamical systems. Under the critical charge, hysteresis emerges owing to the presence of two stable states (small and large black holes) connected by a meta-stable region (intermediate black holes). A potential barrier prevents the equilibrium path between the two stable states; the system evolution must occur through the meta-stable region, and a path-dependence of $\tildeη/s$ is generated.
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