Holography and Entanglement in Flat Spacetime

Details Holography and Entanglement in Flat Spacetime Holography and Entanglement in Flat Spacetime

2010-10-18

arxiv.org/abs/1010.3700v2

Phys.Rev.Lett.106:141301,2011

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure; to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.106.141301

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 non-local. 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 non-local 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.

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