Viscosity bound and causality violation

被引：371

作者：

Brigante, Mauro ^{[1
]}

Liu, Hong ^{[1
]}

Myers, Robert C. ^{[2
,3
]}

Shenker, Stephen ^{[4
]}

Yaida, Sho ^{[4
]}

机构：

[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[2] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[3] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada

[4] Stanford Univ, Dept Phys, Stanford, CA 94305 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 19期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.100.191601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In recent work we showed that, for a class of conformal field theories (CFT) with Gauss-Bonnet gravity dual, the shear viscosity to entropy density ratio, eta/s, could violate the conjectured Kovtun-Starinets-Son viscosity bound, eta/s >= 1/4 pi. In this Letter we argue, in the context of the same model, that tuning eta/s below (16/25)(1/4 pi) induces microcausality violation in the CFT, rendering the theory inconsistent. This is a concrete example in which inconsistency of a theory and a lower bound on viscosity are correlated, supporting the idea of a possible universal lower bound on eta/s for all consistent theories.

引用

页数：4

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