Entanglement entropy and its relation to blackhole entropy

Takumi Hayashi

Abstract: The well known “area law” of blackhole entropy is precisely formulated in the context of thermodynamics of classical gravity. However the dynamical origin of blackhole entropy is still mysterious given No-hair theorem which uniquely determined classical configuration. With such kinds of interest, there are many attempts to connect blackhole entropy with quantum statistical entropy, called ”entanglement entropy”. [#ue4dc349]
In this talk, I show the “area law” of entanglement entropy in quantum field theory, and introduce more concrete computational method to obtain it, which is so called replica trick. Finally I mention its relation to blackhole entropy and relevant argument in the context of AdS/CFT correspondence.

The reference is listed below.
[1]S. N. Solodukhin, Living Rev. Rel. 14, 8 (2011), [arXiv:1104.3712], ”Entanglement entropy of black holes”.
[2]C. G.~Callan, Jr. and F. Wilczek, Phys. Lett. B 333, 55-61 (1994), [arXiv:hep-th/9401072], “On geometric entropy''.
[3]A. Lewkowycz and J. Maldacena, JHEP 08, 090 (2013),[arXiv:1304.4926], ”Generalized gravitational entropy''

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Last-modified: 2020-09-26 (土) 00:27:54 (207d)