Conductivity and Diffusion Constant in Lifshitz Backgrounds - INSPIRE

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Conductivity and Diffusion Constant in Lifshitz Backgrounds

Da-Wei Pang
(
- CQUeST, Seoul
)

Dec, 2009

19 pages

Published in:

JHEP 01 (2010) 120

e-Print:

0912.2403 [hep-th]

DOI:

10.1007/JHEP01(2010)120

Report number:

CQUEST-2009-0310

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

18 pages, no figures

AdS-CFT Correspondence
Black Holes
conductivity
diffusion
black brane
any-dimensional
charge
susceptibility
asymptotic behavior
membrane

References(40)

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