Some calculable contributions to holographic entanglement entropy

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...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2011; no. 8
Main Authors Hung, Ling-Yan, Myers, Robert C., Smolkin, Michael
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.08.2011
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Deformation
Elementary Particles
Entanglement
Field theory
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Scalars
String Theory
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
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Summary: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 ].
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2011)039