Holographic Lifshitz fluids in 1+1 dimensions

Abstract

In this paper, using the techniques of Gauge/gravity duality we explore the hydrodynamic regime of $z=3$ Lifshitz fixed points in $1+1$ dimensions. The speed of sound in the non-relativistic plasma turns out to be $\sqrt{3}$, which clearly violates the conjectured upper bound. We identify this as a natural consequence of the Lorentz symmetry breakdown at $z=3$ Lifshitz fixed point. In our analysis, we compute bulk viscosity to entropy ratio for quantum field theory dual to Lifshitz gravity in $2+1$ dimensions and it turns out that for this particular holographic model this ratio is above the conjectured lower bound.

14 pages, substantially revised and new sections are added, title and abstract are changed, revised manuscript will appear in Journal of Physics A

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Cited by in corpus (1)

• Gravitational quasinormal modes for Lifshitz black branes