热平衡中的黑色漏斗和液滴
Black funnels and droplets in thermal equilibrium
摘要：
最近有人提出，在AdS/CFT对应的背景下，在非动态黑洞背景下的量子场论的强耦合行为可以通过两个引力场之间的竞争来描述：一个黑漏斗和一个黑液滴。我们在这里提出的热平衡的解决方案，代表这样的时空，提供了第一个例子，可以研究之间的热竞争的重力场。该解决方案对应于一个特殊的家庭收费AdS C-度量。我们计算了相应的欧几里德作用量，发现在我们的例子中，黑漏斗总是支配正则系综，这意味着场论没有经历相变。
英文摘要：
It has recently been proposed that the strong coupling behaviour of quantum field theories on a non-dynamical black hole background can be described, in the context of the AdS/CFT correspondence, by a competition between two gravity duals: a black funnel and a black droplet. We present here thermal equilibrium solutions which represent such spacetimes, providing the first example where the thermal competition between the gravity duals can be studied. The solutions correspond to a special family of charged AdS C-metrics. We compute the corresponding Euclidean actions and find that the black funnel always dominates the canonical ensemble in our example, meaning that the field theory does not undergo a phase transition.
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