Second order transport from anomalies

Abstract

We study parity odd transport at second order in derivative expansion for a non-conformal charged fluid. We see that there are 27 parity odd transport coefficients, of which 12 are non-vanishing in equilibrium. We use the equilibrium partition function method to express 7 of these in terms of the anomaly, shear viscosity, charge diffusivity and thermodynamic functions. The remaining 5 are constrained by 3 relations which also involve the anomaly. We derive Kubo formulae for 2 of the transport coefficients and show these agree with that derived from the equilibrium partition function.

Error in total number of independent parity odd transport coefficients has been corrected from 29 to 27. Results for the relation of the transport coefficients to the anomaly unchanged. Added a section on chiral dispersion relations, includes additional references. Added two appendices and corrected some typos. 34 pages

References in corpus (3)

• Spectral sum rules for the quark-gluon plasma
• Notes on chiral hydrodynamics within effective theory approach
• Holographic Gravitational Anomaly in First and Second Order Hydrodynamics

Cited by in corpus (14)

• Adiabatic hydrodynamics: The eightfold way to dissipation
• Anomaly inflow and thermal equilibrium
• Chern-Simons terms from thermal circles and anomalies
• Chiral hydrodynamics in strong external magnetic fields
• Entropy current and equilibrium partition function in fluid dynamics
• Entropy Current from Partition Function: One Example
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Second-order Charge Currents and Stress Tensor in Chiral System
• On the surface of superfluids
• Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
• Holographic Thermal Helicity
• Magnetoconductivity in chiral Lifshitz hydrodynamics
• Higher Derivative Corrections to Charged Fluids in 2n Dimensions
• Anomalous transport in second order hydrodynamics