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摘要翻译：
为了理解一般量子场论中纠缠熵的时间依赖性，我们对HEP-TH/0603001的全息纠缠熵提出了协变推广。除了提供几个可能的协变推广的例子之外，我们研究了一种基于光片的特殊结构，其动机与全息原理下的协变熵界类似。特别地，我们认为，在ADS/CFT对应的背景下，边界上特定区域的纠缠熵是由零测地线的消失展开的同维两体曲面的面积给出的。我们用几个例子来证明我们的构造，以说明它在静态时空下对全息纠缠熵建议的约化。我们进一步说明了该建议如何用于理解在对偶于坍缩黑洞背景的时变QFT态中纠缠熵的时间演化。最后，我们用我们的建议论证了具有多个边界的欧几里得虫洞几何应该被看作是一个非相互作用但纠缠的QFTs集合中的状态，每个边界对应一个QFTs。
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英文标题：
《A Covariant Holographic Entanglement Entropy Proposal》
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作者：
Veronika E. Hubeny, Mukund Rangamani, Tadashi Takayanagi
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最新提交年份：
2012
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分类信息：
一级分类：Physics 物理学
二级分类：High Energy Physics - Theory 高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：General Relativity and Quantum Cosmology 广义相对论与量子宇宙学
分类描述：General Relativity and Quantum Cosmology Areas of gravitational physics, including experiments and observations related to the detection and interpretation of gravitational waves, experimental tests of gravitational theories, computational general relativity, relativistic astrophysics, solutions to Einstein's equations and their properties, alternative theories of gravity, classical and quantum cosmology, and quantum gravity.
广义相对论和量子宇宙学引力物理领域，包括与探测和解释引力波有关的实验和观测、引力理论的实验检验、计算广义相对论、相对论天体物理学、爱因斯坦方程及其性质的解、引力的替代理论、经典宇宙学和量子宇宙学以及量子引力。
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英文摘要：
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.
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PDF链接：
https://arxiv.org/pdf/705.0016
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