A covariant holographic entanglement entropy proposal
A covariant holographic entanglement entropy proposal
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DOI：
10.1088/1126-6708/2007/07/062
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发表时间：
2007-05
影响因子：
5.4
通讯作者：
V. Hubeny;Mukund Rangamani;T. Takayanagi
中科院分区：
文献类型：
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作者：
V. Hubeny;Mukund Rangamani;T. Takayanagi
为了理解一般量子场论中纠缠熵的时间依赖性，我们提出了hep-th/0603001全息纠缠熵方案的协变推广。除了提供几个可能的协变概括的例子，我们研究了一个特定的建设的基础上的光片，动机类似的精神，协变熵约束的全息原理。特别是，我们认为，纠缠熵与特定区域的边界上的背景下的AdS/CFT对应给出的面积的一个共同的维度两块表面与零测地线消失的扩展。我们用几个例子来说明我们的构造，以说明它在静态时空中的全息纠缠熵提案的减少。我们进一步展示了如何使用这个建议来理解纠缠熵的时间演化在一个时变QFT状态双坍缩黑洞的背景。最后，我们使用我们的建议，认为欧几里德虫洞几何形状与多个边界应被视为一个非相互作用，但纠缠的QFT集，一个相关的每个边界的状态。
With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing several examples of possible covariant generalizations, we study a particular construction based on light-sheets, motivated in similar spirit to the covariant entropy bound underlying the holographic principle. In particular, we argue that the entanglement entropy associated with a specified region on the boundary in the context of the AdS/CFT correspondence is given by the area of a co-dimension two bulk surface with vanishing expansions of null geodesics. We demonstrate our construction with several examples to illustrate its reduction to the holographic entanglement entropy proposal in static spacetimes. We further show how this proposal may be used to understand the time evolution of entanglement entropy in a time varying QFT state dual to a collapsing black hole background. Finally, we use our proposal to argue that the Euclidean wormhole geometries with multiple boundaries should be regarded as states in a non-interacting but entangled set of QFTs, one associated to each boundary.