Magnetic conductivity and Chern-Simons Term in Holographic Hydrodynamics of Charged AdS Black Hole

Abstract

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions explicitly. We then find that the Chern-Simons term induces the magnetic conductivity caused by the anomaly effect. It is increasing function of temperature running from a non-zero value at zero temperature to the twice the value at infinite temperature.

19 pages, 2 figures; v2 discussion on classification of perturbation fields based on helicity base, third order in dispersion relation and more discussion on magnetic conductivity are added, some typos are corrected and references are added; v3 published version

References in corpus (19)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Hydrodynamics with Triangle Anomalies
• Viscosity, Black Holes, and Quantum Field Theory
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Chiral Magnetic conductivity
• Cold Nuclear Matter In Holographic QCD
• Holographic Nuclear Physics
• Axial anomaly and magnetism of nuclear and quark matter
• Holographic Chiral Magnetic Conductivity
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• The shear viscosity of gauge theory plasma with chemical potentials
• Baryon-charge Chemical Potential in AdS/CFT
• Bulk Filling Branes and the Baryon Density in AdS/QCD with gravity back-reaction
• Density Dependence of Transport Coefficients from Holographic Hydrodynamics
• Dense Hadronic Matter in Holographic QCD
• Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole
• Holographic chiral shear waves from anomaly
• Comments on Chemical Potentials in AdS/CFT

Cited by in corpus (29)

• Chiral Magnetic Wave
• Gravity Dual of Spatially Modulated Phase
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
• Anomalous transport coefficients from Kubo formulas in Holography
• Holographic QCD: Past, Present, and Future
• Chiral hydrodynamics in strong external magnetic fields
• Quasinormal modes of charged magnetic black branes & chiral magnetic transport
• Quasinormal modes of magnetic and electric black branes versus far from equilibrium anisotropic fluids
• Electrified plasma in AdS/CFT correspondence
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Holographic chiral magnetic spiral
• Holographic chiral shear waves from anomaly
• Holographic Optics and Negative Refractive Index
• Character of Matter in Holography: Spin-Orbit Interaction
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• Anomalous transport from holography: Part I
• Chern-Simons Superconductor
• Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD
• Anomalous transport from holography: Part II
• Photo-emission rate of sQGP at finite density
• Nonlinear chiral transport from holography
• Quark Number Susceptibility and QCD Phase Transition in the Predictive Soft-wall AdS/QCD Model with Finite Temperature
• R-Charged Black Holes and Holographic Optics
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Thermal Product Formula for Shear Modes
• Interplay between interaction and chiral anomaly in the holographic approach
• Anomaly induced transport coefficients, from weak to strong coupling