论文标题

零波前作为ryu-takayanagi表面

Null wave front as Ryu-Takayanagi surface

论文作者

Tsujimura, Jun, Nambu, Yasusada

论文摘要

Ryu-takayanagi公式在相应的重力理论中提供了量子场理论的纠缠熵(Ryu-Takayangi表面)。有一些尝试将公式视为流动而不是表面的尝试。在本文中,我们提出,从广告边界发出的零射线可以被视为这样的流。特别是,我们表明,在球形对称的静态间距中,宇宙学常数为负的,从广告边界上的一个点开始的无效测量学的波锋变成了极端表面,因此可以被视为ryu-takayanagi表面。此外,根据流量的观点,我们提出了一个波光学公式来计算全息纠缠熵。

The Ryu-Takayanagi formula provides the entanglement entropy of quantum field theory as an area of the minimal surface (Ryu-Takayangi surface) in a corresponding gravity theory. There are some attempts to understand the formula as a flow rather than as a surface. In this paper, we propose that null rays emitted from the AdS boundary can be regarded as such a flow. In particular, we show that in spherical symmetric static spacetimes with a negative cosmological constant, wave fronts of null geodesics from a point on the AdS boundary become extremal surfaces and therefore they can be regarded as the Ryu-Takayanagi surfaces. In addition, based on the viewpoint of flow, we propose a wave optical formula to calculate the holographic entanglement entropy.

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