Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Chiba 277-8582, Japan.
Phys Rev Lett. 2011 Apr 8;106(14):141301. doi: 10.1103/PhysRevLett.106.141301. Epub 2011 Apr 5.
We propose a holographic correspondence of the flat spacetime based on the behavior of the entanglement entropy and the correlation functions. The holographic dual theory turns out to be highly nonlocal. We argue that after most part of the space is traced out, the reduced density matrix gives the maximal entropy and the correlation functions become trivial. We present a toy model for this holographic dual using a nonlocal scalar field theory that reproduces the same property of the entanglement entropy. Our conjecture is consistent with the entropy of Schwarzschild black holes in asymptotically flat spacetimes.
我们基于纠缠熵和关联函数的行为，提出了一个平坦时空的全息对应。全息对偶理论结果是高度非局域的。我们认为，在大部分空间被迹化后，约化密度矩阵给出最大熵，关联函数变得平凡。我们使用非局域标量场理论为这个全息对偶提出了一个玩具模型，它再现了纠缠熵的相同性质。我们的猜想与渐近平坦时空中 Schwarzschild 黑洞的熵是一致的。
