Anomalous transport from holography: Part I

Abstract

We revisit the transport properties induced by the chiral anomaly in a charged plasma holographically dual to anomalous $U(1{)}_V\times U(1{)}_A$ Maxwell theory in Schwarzschild-$Ad{S}_5$. Off-shell constitutive relations for vector and axial currents are derived using various approximations generalising most of known in the literature anomaly-induced phenomena and revealing some new ones. In a weak external field approximation, the constitutive relations have all-order derivatives resummed into six momenta-dependent transport coefficient functions: the diffusion, the electric/magnetic conductivity, and three anomaly induced functions. The latter generalise the chiral magnetic and chiral separation effects. Nonlinear transport is studied assuming presence of constant background external fields. The chiral magnetic effect, including all order nonlinearity in magnetic field, is proven to be exact when the magnetic field is the only external field that is turned on. Non-linear corrections to the constitutive relations due to electric and axial external fields are computed.

arXiv commentv1: 42 pages, 10 multi-figures, 3 appendices; v2: minor corrections introduced and a few refs added

References in corpus (43)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Low energy hadron physics in holographic QCD
• Nonlinear Fluid Dynamics from Gravity
• Hydrodynamics with Triangle Anomalies
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Fluid dynamics of R-charged black holes
• Charge separation induced by P-odd bubbles in QCD matter
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Hydrodynamics from charged black branes
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Primordial Hypermagnetic Fields and Triangle Anomaly
• Quantum Anomalies in Dense Matter
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
• Spectral Methods for Numerical Relativity
• Topologically induced local P and CP violation in QCD x QED
• Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
• Adiabatic hydrodynamics: The eightfold way to dissipation
• Real-time dynamics of the Chiral Magnetic Effect
• Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model
• Holographic Anomalous Conductivities and the Chiral Magnetic Effect
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Axial Current Generation from Electric Field: Chiral Electric Separation Effect
• Holographic Chiral Magnetic Conductivity
• Fluid/gravity model for the chiral magnetic effect
• Anomalous transport coefficients from Kubo formulas in Holography
• Electric-current Susceptibility and the Chiral Magnetic Effect
• The Chiral Magnetic Effect and chiral symmetry breaking in SU(3) quenched lattice gauge theory
• Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• Charge redistribution from anomalous magnetovorticity coupling
• Electrified plasma in AdS/CFT correspondence
• Anomalies in Superfluids and a Chiral Electric Effect
• Magnetic conductivity and Chern-Simons Term in Holographic Hydrodynamics of Charged AdS Black Hole
• Hydrodynamics and the Detection of the QCD Axial Anomaly in Heavy Ion Collisions
• Holographic Charged Fluid with Anomalous Current at Finite Cutoff Surface in Einstein-Maxwell Gravity
• Linearly resummed hydrodynamics in a weakly curved spacetime
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• $U(1)$ current from the AdS/CFT: diffusion, conductivity and causality

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• Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field
• Anomalous transport from holography: Part II
• Nonlinear chiral transport from holography
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Chiral transport in strong fields from holography
• Relaxation Times for Chiral Transport Phenomena and Spin Polarization in Strongly Coupled Plasma
• Holographic Charged Fluid with Chiral Electric Separation Effect
• Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence
• Thermal Product Formula for Shear Modes
• Magnetic monopole in a chiral plasma: chiral dyon