Holographic entanglement entropy probes (non)locality

Details Holographic entanglement entropy probes (non)locality Holographic entanglement entropy probes (non)locality

2008-03-13

arxiv.org/abs/0803.1928v2

JHEP 0804:096,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages and 8 figures; added references, corrected some typos and added a full NEW SECTION with an explicit result linking ho

Scientific paper

10.1088/1126-6708/2008/04/096

We study the short-distance structure of geometric entanglement entropy in certain theories with a built-in scale of nonlocality. In particular we examine the cases of Little String Theory and Noncommutative Yang-Mills theory, using their AdS/CFT descriptions. We compute the entanglement entropy via the holographic ansatz of Ryu and Takayanagi to conclude that the area law is violated at distance scales that sample the nonlocality of these models, being replaced by an extensive volume law. In the case of the noncommutative model, the critical length scale that reveals the area/volume law transition is strongly affected by UV/IR mixing effects. We also present an argument showing that Lorentz symmetry tends to protect the area law for theories with field-theoretical density of states.

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