Dissecting holographic conductivities

A bstract The DC thermoelectric conductivities of holographic systems in which translational symmetry is broken can be efficiently computed in terms of the near-horizon data of the dual black hole. By calculating the frequency dependent conductivities to the first subleading order in the momentum re...

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Bibliographic Details
Published in:	The journal of high energy physics 2015-09, Vol.2015 (9), p.1-25, Article 90
Main Authors:	Davison, Richard A., Goutéraux, Blaise
Format:	Article
Language:	eng
Subjects:	Astrophysics Classical and Quantum Gravitation Computational fluid dynamics Conductivity Decomposition Elementary Particles Fluid flow Hydrodynamics Invariants Mathematical analysis Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Thermoelectricity
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Summary:	A bstract The DC thermoelectric conductivities of holographic systems in which translational symmetry is broken can be efficiently computed in terms of the near-horizon data of the dual black hole. By calculating the frequency dependent conductivities to the first subleading order in the momentum relaxation rate, we give a physical explanation for these conductivities in the simplest such example, in the limit of slow momentum relaxation. Specifically, we decompose each conductivity into the sum of a coherent contribution due to momentum relaxation and an incoherent contribution, due to intrinsic current relaxation. This decomposition is different from those previously proposed, and is consistent with the known hydrodynamic properties in the translationally invariant limit. This is the first step towards constructing a consistent theory of charged hydrodynamics with slow momentum relaxation.
ISSN:	1029-8479 1126-6708 1029-8479