Is renormalized entanglement entropy stationary at RG fixed points?

被引：0
|
作者：
Igor R. Klebanov
Tatsuma Nishioka
Silviu S. Pufu
Benjamin R. Safdi
机构：
[1] School of Natural Sciences,Department of Physics
[2] Institute for Advanced Study,Center for Theoretical Physics
[3] Princeton University,undefined
[4] Massachusetts Institute of Technology,undefined
来源：
Journal of High Energy Physics | / 2012卷
关键词：
Field Theories in Lower Dimensions; Renormalization Group;
D O I：
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学科分类号：
摘要：
The renormalized entanglement entropy (REE) across a circle of radius R has been proposed as a c-function in Poincaré 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.
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