☆ 4.4 Article

Some calculable contributions to holographic entanglement entropy

JOURNAL OF HIGH ENERGY PHYSICS (2011)

期刊

JOURNAL OF HIGH ENERGY PHYSICS

卷 -, 期 8, 页码 -

出版社

SPRINGER

DOI: 10.1007/JHEP08(2011)039

关键词

AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)

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Physics, Particles & Fields

资金

Government of Canada through Industry Canada
Province of Ontario through the Ministry of Research Innovation
NSERC
Canadian Institute for Advanced Research

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Reagent

摘要

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found in investigations of entanglement entropy in a free massive scalar field theory [1, 2].

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