Markov Property of the Conformal Field Theory Vacuum and the a Theorem

被引：105

作者：

Casini, Horacio ^{[1
]}

Teste, Eduardo

Torroba, Gonzalo

机构：

[1] Ctr Atom Bariloche, R8402AGP, San Carlos De Bariloche, Rio Negro, Argentina

来源：

PHYSICAL REVIEW LETTERS | 2017年 / 118卷 / 26期

关键词：

ENTANGLEMENT ENTROPY;

D O I：

10.1103/PhysRevLett.118.261602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use strong subadditivity of entanglement entropy, Lorentz invariance, and the Markov property of the vacuum state of a conformal field theory to give new proof of the irreversibility of the renormalization group in d = 4 space-time dimensions-the a theorem. This extends the proofs of the c and F theorems in dimensions d = 2 and d = 3 based on vacuum entanglement entropy, and gives a unified picture of all known irreversibility theorems in relativistic quantum field theory.

引用

页数：5

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