Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory

Abstract

We introduce the quantum-field-theory (QFT) derivation of chiral kinetic theory (CKT) from the Wigner-function approach, which manifests side jumps and non-scalar distribution functions associated with Lorentz covariance and incorporates both background fields and collisions. The formalism is utilized to investigate second-order responses of chiral fluids near local equilibrium. Such non-equilibrium anomalous transport is dissipative and affected by interactions. Contributions from both quantum corrections in anomalous hydrodynamic equations (EOM) of motion and those from the CKT and Wigner functions (WF) are considered in a relaxation-time approximation (RTA). Anomalous charged Hall currents engendered by background electric fields and temperature/chemical-potential gradients are obtained. Furthermore, chiral magnetic/vortical effects (CME/CVE) receive viscous corrections as non-equilibrium modifications stemming from the interplay between side jumps, magnetic-moment coupling, and chiral anomaly.

4 pages, 1 figure, Quark Matter 2018 Proceedings, parallel talk presented by Di-Lun Yang

References in corpus (9)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• Relativistic Hydrodynamics with General Anomalous Charges
• Lorentz Invariance in Chiral Kinetic Theory
• Collisions in Chiral Kinetic Theory
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory

Cited by in corpus (13)

• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Mass Correction to Chiral Kinetic Equations
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Casimir effect in kinetic theory
• Lepton pair production in ultra-peripheral collisions