Holographic charged fluid with anomalous current at finite cutoff surface in Einstein-Maxwell gravity

A bstract The holographic charged fluid with anomalous current in Einstein-Maxwell gravity has been generalized from the infinite boundary to the finite cutoff surface by using the gravity/fluid correspondence. After perturbing the boosted Reissner-Nordstrom (RN)- AdS black brane solution of the Ein...

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Bibliographic Details
Published in:The journal of high energy physics 2012-11, Vol.2012 (11), Article 54
Main Authors: Bai, Xiaojian, Hu, Ya-Peng, Lee, Bum-Hoon, Zhang, Yun-Long
Format: Article
Language:English
Subjects:
Boundary conditions
Bulk density
Classical and Quantum Gravitation
Density ratio
Dirichlet problem
Elementary Particles
Gravitation
High energy physics
Mathematical analysis
Parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Shear viscosity
String Theory
Tensors
Transport properties
Viscosity
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Summary:A bstract The holographic charged fluid with anomalous current in Einstein-Maxwell gravity has been generalized from the infinite boundary to the finite cutoff surface by using the gravity/fluid correspondence. After perturbing the boosted Reissner-Nordstrom (RN)- AdS black brane solution of the Einstein-Maxwell gravity with the Chern-Simons term, we obtain the first order perturbative gravitational and Maxwell solutions, and calculate the stress tensor and charged current of the dual fluid at finite cutoff surfaces which contains undetermined parameters after demanding regularity condition at the future horizon. We adopt the Dirichlet boundary condition and impose the Landau frame to fix these parameters, finally obtain the dependence of transport coefficients in the dual stress tensor and charged current on the arbitrary radical cutoff r c . We find that the dual fluid is not conformal, but it has vanishing bulk viscosity, and the shear viscosity to entropy density ratio is universally 1 / 4π. Other transport coefficients of the dual current turns out to be cutoff-dependent. In particular, the chiral vortical conductivity expressed in terms of thermodynamic quantities takes the same form as that of the dual fluid at the asymptotic AdS boundary, and the chiral magnetic conductivity receives a cutoff-dependent correction which vanishes at the infinite boundary.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2012)054