Holographic second laws of black hole thermodynamics
Holographic second laws of black hole thermodynamics
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DOI：
10.1007/jhep07(2018)111
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发表时间：
2018-03
影响因子：
5.4
通讯作者：
A. Bernamonti;F. Galli;R. Myers;J. Oppenheim
中科院分区：
文献类型：
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作者：
A. Bernamonti;F. Galli;R. Myers;J. Oppenheim
最近的研究表明，对于非平衡系统，除了普通的第二定律外，还有其他的限制条件。这些形成了一个新的热力学第二定律族，等价于量子雷尼发散的单调性。在黑洞热力学中，通常的第二定律表现为面积增加定理。因此，人们可能会问，这些额外的定律是否意味着对引力动力学的新限制，比如对失去平衡的黑洞？受这个问题的启发，我们研究这些限制内的AdS/CFT对应。首先，我们证明了Rényi发散可以通过一个Euclidean路径积分计算的某类激发CFT状态。将这种构造应用于边界CFT，Rényi发散被评估为最小耦合引力标量系统的特定体解的重整化作用。进一步，在这个框架内，我们表明，存在的过渡，这是允许的传统的第二定律，但禁止的额外的物理约束。我们推测我们的发现的含义。
Recently, it has been shown that for out-of-equilibrium systems, there are additional constraints on thermodynamical evolution besides the ordinary second law. These form a new family of second laws of thermodynamics, which are equivalent to the monotonicity of quantum Rényi divergences. In black hole thermodynamics, the usual second law is manifest as the area increase theorem. Hence one may ask if these additional laws imply new restrictions for gravitational dynamics, such as for out-of-equilibrium black holes? Inspired by this question, we study these constraints within the AdS/CFT correspondence. First, we show that the Rényi divergence can be computed via a Euclidean path integral for a certain class of excited CFT states. Applying this construction to the boundary CFT, the Rényi divergence is evaluated as the renormalized action for a particular bulk solution of a minimally coupled gravity-scalar system. Further, within this framework, we show that there exist transitions which are allowed by the traditional second law, but forbidden by the additional thermodynamical constraints. We speculate on the implications of our findings.