Viscosity Bound and Causality Violation

Details Viscosity Bound and Causality Violation Viscosity Bound and Causality Violation

2008-02-22

arxiv.org/abs/0802.3318v2

Phys.Rev.Lett.100:191601,2008

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures; v2: a slight change in the title and minor revisions made, references updated

Scientific paper

10.1103/PhysRevLett.100.191601

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, $\eta/s\geq1/4\pi$. In this paper 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.

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