### 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.

Original language | English |
---|---|

Pages (from-to) | 547-550 |

Number of pages | 4 |

Journal | Nuclear Physics A |

Volume | 982 |

DOIs | |

Publication status | Published - 2019 Feb 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Chiral Anomalies
- Chiral Fluids
- Chiral Kinetic Theory
- Weyl Fermions

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

*982*, 547-550. https://doi.org/10.1016/j.nuclphysa.2018.10.033

**Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory.** / Hidaka, Yoshimasa; Pu, Shi; Yang, Di-Lun.

Research output: Contribution to journal › Article

*Nuclear Physics A*, vol. 982, pp. 547-550. https://doi.org/10.1016/j.nuclphysa.2018.10.033

}

TY - JOUR

T1 - Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory

AU - Hidaka, Yoshimasa

AU - Pu, Shi

AU - Yang, Di-Lun

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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.

AB - 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.

KW - Chiral Anomalies

KW - Chiral Fluids

KW - Chiral Kinetic Theory

KW - Weyl Fermions

UR - http://www.scopus.com/inward/record.url?scp=85060088209&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85060088209&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2018.10.033

DO - 10.1016/j.nuclphysa.2018.10.033

M3 - Article

AN - SCOPUS:85060088209

VL - 982

SP - 547

EP - 550

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

ER -