论文标题

De Sitter黑洞作为欧几里得路径积分的受约束状态

de Sitter Black Holes as Constrained States in the Euclidean Path Integral

论文作者

Draper, Patrick, Farkas, Szilard

论文摘要

Schwarzschild-de保姆黑洞有两个地平线,在不同的温度下,对于黑洞质量的通用值。由于视野不符合平衡,因此解决方案不承认平滑的欧几里得延续,并且尚不清楚它们在重力路径积分中扮演什么角色。我们表明,Euclidean SDS是某个受约束路径积分的真正鞍点,提供了概率$ \ sim e^{ - (s_ {ds} -s_ {sds}}} $的概率$ \ sim e^{ - (s_ {ds} -sds}}} $的一致的欧几里得计算。

Schwarzschild-de Sitter black holes have two horizons that are at different temperatures for generic values of the black hole mass. Since the horizons are out of equilibrium the solutions do not admit a smooth Euclidean continuation and it is not immediately clear what role they play in the gravitational path integral. We show that Euclidean SdS is a genuine saddle point of a certain constrained path integral, providing a consistent Euclidean computation of the probability $\sim e^{-(S_{dS}-S_{SdS})}$ to find a black hole in the de Sitter bath.

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