Conductivity and Diffusion Constant in Lifshitz Backgrounds

Details Conductivity and Diffusion Constant in Lifshitz Backgrounds Conductivity and Diffusion Constant in Lifshitz Backgrounds

2009-12-12

arxiv.org/abs/0912.2403v2

JHEP 1001:120,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figures, references added, to appear in JHEP

Scientific paper

10.1007/JHEP01(2010)120

We study the DC conductivity and the diffusion constant for asymptotically Lifshitz black branes in $(d+2)$- dimensions with arbitrary dynamical exponent $z$. For a solvable example with $z=2, d=4$, we calculate the real-time correlation functions, from which we can read off the corresponding conductivity and diffusion constant. For black branes with arbitrary $z$ and $d$, we work out the conductivity and obtain the diffusion constant by making use of the Einstein relation. All the results agree with those obtained via the membrane paradigm.

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