Anomaly Induced Transport in Arbitrary Dimensions

Abstract

Motivated by the consistency of a global anomaly with the second law of thermodynamics, we propose a form for the anomaly induced charge/energy transport in arbitrary even dimensions. In a given dimension, this form exhausts all second law constraints on anomaly induced transport at any given order in hydrodynamic derivative expansion. This is achieved by solving the second law constraints off-shell without resorting to hydrodynamic equations at lower orders. We also study various possible finite temperature corrections to such anomaly induced transport coefficients.

19 pages, JHEP format. v2: Statements about covariant/consistent anomaly corrected.Expressions for the anomaly induced Gibbs free-energy current added

References in corpus (3)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic Hydrodynamics with General Anomalous Charges
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries

Cited by in corpus (35)

• Thermodynamics, gravitational anomalies and cones
• Anomaly related transport of Weyl fermions for Weyl semi-metals
• Triangle anomaly in Weyl semi-metals
• Adiabatic hydrodynamics: The eightfold way to dissipation
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• Revisiting non-relativistic limits
• Effective actions for anomalous hydrodynamics
• Fluids, Anomalies and the Chiral Magnetic Effect: A Group-theoretic Formulation
• Mixed Anomalies: Chiral Vortical Effect and the Sommerfeld Expansion
• Non-dissipative hydrodynamics: Effective actions versus entropy current
• Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
• Berry Phase, Lorentz Covariance, and Anomalous Velocity for Dirac and Weyl Particles
• Chiral hydrodynamics in strong external magnetic fields
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics
• Hydrodynamics in 1+1 dimensions with gravitational anomalies
• Anomalies and the Helicity of the Thermal State
• An anomalous hydrodynamics for chiral superfluid
• 2-group global symmetries, hydrodynamics and holography
• An entropy current in superspace
• Anomalous Transport in Holographic Chiral Superfluids via Kubo Formulae
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• The Isospin Asymmetry in Anomalous Fluid Dynamics
• Parity odd equilibrium partition function in 2+1 dimensions
• Chiral Magnetic and Vortical Effects in Higher Dimensions at Weak Coupling
• Anomalies and Transport Coefficients: The Chiral Gravito-Magnetic Effect
• Relaxation Times for Chiral Transport Phenomena and Spin Polarization in Strongly Coupled Plasma
• Entropy currents from holography in hydrodynamics with charge
• Higher Derivative Corrections to Charged Fluids in 2n Dimensions
• Chiral anomalies in superfluid hydrodynamics
• Global gravitational anomalies and transport
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Anomalous transport at weak coupling
• An anomalous propulsion mechanism using magnetic fields
• Hydrodynamics in 1+1 dimensions from Maxwell-Chern-Simons theory in AdS_3