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Holographic shear viscosity in hyperscaling violating theories without translational invariance

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Regular Article - Theoretical Physics
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Abstract

In this paper we investigate the ratio of shear viscosity to entropy density, η/s, in hyperscaling violating geometry with lattice structure. We show that the scaling relation with hyperscaling violation gives a strong constraint to the mass of graviton and usually leads to a power law of temperature, η/s ∼ T κ . We find the exponent κ can be greater than two such that the new bound for viscosity raised in [7] is violated. Our above observation is testified by constructing specific solutions with UV completion in various holographic models. Finally, we compare the boundedness of κ with the behavior of entanglement entropy and conjecture a relation between them.

Keywords

Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) Holography and quark-gluon plasmas Black Holes 
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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Institute of High Energy PhysicsChinese Academy of SciencesBeijingChina
  2. 2.Shanghai Key Laboratory of High Temperature SuperconductorsShanghaiChina

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