Imaging black holes through the AdS/CFT correspondence
Imaging black holes through the AdS/CFT correspondence
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DOI：
10.1103/physrevd.101.066018
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发表时间：
2020-03-20
影响因子：
5
通讯作者：
Murata, Keiju
中科院分区：
文献类型：
--
作者：
Hashimoto, Koji;Kinoshita, Shunichiro;Murata, Keiju
某些量子场论（QFT）中的热态对应于渐近AdS时空中的黑洞，即AdS/CFT对应。我们提出了一个直接的程序来构建全息图像的黑洞在散装从一个给定的响应函数的QFT的边界上。相对于外部源的响应函数对应于由源在AdS边界上产生的体场的渐近数据。根据波动光学的原理，我们可以从体光场在体时空中的传播中获得像。对于与Schwarzschild-AdS（4）黑洞对偶的二维球上的热态，我们证明了黑洞引力透镜作用下的全息像可以由响应函数构造出来。特别是，可以清楚地观察到图像上的爱因斯坦环，它们的半径取决于QFT热态的总能量。这些结果与用几何光学方法计算的黑洞光子球的大小是一致的。这意味着，如果一个给定的量子系统存在对偶引力图像，我们将能够通过由量子系统的可观测量构造的爱因斯坦环来探测对偶黑洞的存在。
Thermal states in some quantum field theories (QFTs) correspond to black holes in asymptotically AdS spacetime in the AdS/CFT correspondence. We propose a direct procedure to construct holographic images of the black hole in the bulk from a given response function of the QFT on the boundary. The response function with respect to an external source corresponds to the asymptotic data of the bulk field generated by the source on the AdS boundary. According to the wave optics, we can obtain the images from the bulk field propagating in the bulk spacetime. For a thermal state on two-dimensional sphere dual to Schwarzschild-AdS(4) black hole, we demonstrate that the holographic images gravitationally lensed by the black hole can be constructed from the response function. In particular, the Einstein rings on the image can be clearly observed and their radius depends on the total energy of the QFT thermal state. These results are consistent with the size of the photon sphere of the black hole calculated in geometrical optics. This implies that, if there exists a dual gravitational picture for a given quantum system, we would be able to probe existence of the dual black hole by the Einstein rings constructed from observables of the quantum system.