Holographic Gravitational Anomaly in First and Second Order Hydrodynamics

Abstract

We compute, in the framework of the fluid/gravity correspondence, the transport coefficients of a relativistic fluid affected by chiral and gauge-gravitational anomalies, including external electromagnetic fields. The computation is performed at first and second order in the hydrodynamical expansion. We use a 5-dim holographic model with pure gauge and mixed gauge-gravitational Chern-Simons terms in the action. We reproduce at first order previous results on the anomaly induced current of a magnetic field and a vortex in a relativistic fluid, and compute at second order the anomalous and non anomalous transport coefficients by using a Weyl covariant formalism. We find a dissipative and anomalous correction to the chiral magnetic conductivity due to the time dependence of the magnetic field. We also find a new contribution from the mixed gauge-gravitational anomaly to the shear waves dispersion relation. The role played by the chiral and gravitational anomalies in other transport coefficients is discussed.

41 pages, 1 table, no figures and extra references included

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Cited by in corpus (36)

• Notes on Anomaly Induced Transport
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• Anomalous Maxwell equations for inhomogeneous chiral plasma
• Entropy Current from Partition Function: One Example
• The charmonium dissociation in an "anomalous wind"
• Nonlinear Chiral Transport Phenomena
• Frequency dependence of the Chiral Vortical Effect
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Second order transport from anomalies
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• Holographic Thermal Helicity
• Mass Effect on Axial Charge Dynamics
• Anomalous transport from holography: Part II
• Anomalous transport from holography: Part I
• Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge
• Chern-Simons Superconductor
• Nonlinear chiral transport from holography
• Fluid/gravity correspondence and the CFM black brane solutions
• Anomalous transport and holographic momentum relaxation
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Magneto-vortical effect in strongly coupled plasma
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Anomalous conductivities in the holographic Stuckelberg model
• Membrane paradigm and RG flows for anomalous holographic theories
• Spatially modulated instabilities of holographic gauge-gravitational anomaly
• Fluid/Gravity Correspondence, Second Order Transport and Gravitational Anomaly
• Anomaly induced transport in non-anomalous currents
• Chiral Separation Effect from Holographic QCD
• Anomaly induced transport coefficients, from weak to strong coupling
• Anomalous transport and massive gravity theories
• Chiral transport in curved spacetime via holography
• Holographic deconfined QGP phase diagram and entropy with an anomalous flow in a magnetic field background
• Constitutive relations of a chiral hadronic fluid
• Anomalous transport in second order hydrodynamics
• Entropy Current for the Fluid/Gravity Model of the Chiral Magnetic Effect