Volume Law for the Entanglement Entropy in Non-local QFTs

Noburo Shiba; Tadashi Takayanagi

Volume Law for the Entanglement Entropy in Non-local QFTs

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arxiv 1311.1643 v2 pith:FDJTIICO submitted 2013-11-07 hep-th cond-mat.str-elquant-ph

Volume Law for the Entanglement Entropy in Non-local QFTs

Noburo Shiba , Tadashi Takayanagi This is my paper

classification hep-th cond-mat.str-elquant-ph

keywords volumeentanglemententropynon-localsmallerwhoseanalyticalbehavior

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In this paper, we present a simple class of non-local field theories whose ground state entanglement entropy follows a volume law as long as the size of subsystem is smaller than a certain scale. We will confirm this volume law both from numerical calculations and from analytical estimation. This behavior fits nicely with holographic results for spacetimes whose curvatures are much smaller than AdS spaces such as those in the flat spacetime.

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