Real-time gravitational replicas: formalism and a variational principle
Real-time gravitational replicas: formalism and a variational principle
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DOI：
10.1007/jhep05(2021)117
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发表时间：
2021-05-14
影响因子：
5.4
通讯作者：
Wang, Zhencheng
中科院分区：
文献类型：
--
作者：
Colin-Ellerin, Sean;Dong, Xi;Wang, Zhencheng
这项工作是实时副本虫洞的两部分调查的第一步。在这里，我们研究了相关的实时引力路径积分，并构造了将定义其鞍点的变分原理。我们还描述了所产生的实时副本虫洞鞍的一般结构，设置阶段的建设明确的例子。这些鞍点必然涉及复杂的度量，因此可以通过变形积分的原始真实的轮廓来获得。然而，这些鞍的建设不需要依赖于解析延拓，我们的配方可以使用，甚至在非解析边界源的存在。此外，至少对于副本和CPT对称的鞍，我们表明，度量可以采取的是真实的从所谓的“分裂面”分离的区域的类空。这个特征是对偶场论中么正性的一个重要标志。
This work is the first step in a two-part investigation of real-time replica wormholes. Here we study the associated real-time gravitational path integral and construct the variational principle that will define its saddle-points. We also describe the general structure of the resulting real-time replica wormhole saddles, setting the stage for construction of explicit examples. These saddles necessarily involve complex metrics, and thus are accessed by deforming the original real contour of integration. However, the construction of these saddles need not rely on analytic continuation, and our formulation can be used even in the presence of non-analytic boundary-sources. Furthermore, at least for replica- and CPT-symmetric saddles we show that the metrics may be taken to be real in regions spacelike separated from a so-called 'splitting surface'. This feature is an important hallmark of unitarity in a field theory dual.