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Is renormalized entanglement entropy stationary at RG fixed points?

Author(s): Klebanov, Igor R; Nishioka, Tatsuma; Pufu, Silviu S; Safdi, Benjamin R

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Abstract: The renormalized entanglement entropy (REE) across a circle of radius R has been proposed as a c-function in Poincare invariant (2 + 1)-dimensional field theory. A proof has been presented of its monotonic behavior as a function of R, based on the strong subadditivity of entanglement entropy. However, this proof does not directly establish stationarity of REE at conformal fixed points of the renormalization group. In this note we study the REE for the free massive scalar field theory near the UV fixed point described by a massless scalar. Our numerical calculation indicates that the REE is not stationary at the UV fixed point.
Publication Date: Oct-2012
Electronic Publication Date: 8-Oct-2012
Citation: Klebanov, Igor R, Nishioka, Tatsuma, Pufu, Silviu S, Safdi, Benjamin R. (2012). Is renormalized entanglement entropy stationary at RG fixed points?. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP10(2012)058
DOI: doi:10.1007/JHEP10(2012)058
ISSN: 1029-8479
Type of Material: Journal Article
Version: Author's manuscript

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