Is renormalized entanglement entropy stationary at RG fixed points?

被引：27
|
作者：
Klebanov, Igor R. [1 ]
Nishioka, Tatsuma [2 ]
Pufu, Silviu S. [3 ]
Safdi, Benjamin R. [2 ]
机构：
[1] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
[2] Princeton Univ, Dept Phys, Washington, NJ 08544 USA
[3] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 10期
基金：
美国国家科学基金会;
关键词：
Field Theories in Lower Dimensions; Renormalization Group; FIELD;
D O I：
10.1007/JHEP10(2012)058
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
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 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.
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收藏
页数：13
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