Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory

Yoshimasa Hidaka; Shi Pu; Di Lun Yang

doi:10.1016/j.nuclphysa.2018.10.033

Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory

Yoshimasa Hidaka, Shi Pu, Di Lun Yang

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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	https://doi.org/10.1016/j.nuclphysa.2018.10.033
Publication status	Published - 2019 Feb
Externally published	Yes

Keywords

Chiral Anomalies
Chiral Fluids
Chiral Kinetic Theory
Weyl Fermions

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysa.2018.10.033

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title = "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.",

keywords = "Chiral Anomalies, Chiral Fluids, Chiral Kinetic Theory, Weyl Fermions",

author = "Yoshimasa Hidaka and Shi Pu and Yang, {Di Lun}",

note = "Funding Information: Acknowledgments: D. Y. was supported by the RIKEN Foreign Postdoctoral Researcher program. Y. H. was partially supported by Japan Society of Promotion of Science (JSPS), Grants-in-Aid for Scientific Research (KAKENHI) Grants No. 15H03652, 16K17716, and 17H06462, and also by RIKEN iTHES Project and iTHEMS Program. S.P. was supported by JSPS post-doctoral fellowship for foreign researchers. D. Y. was supported by the RIKEN Foreign Postdoctoral Researcher program. Publisher Copyright: {\textcopyright} 2018",

year = "2019",

month = feb,

doi = "10.1016/j.nuclphysa.2018.10.033",

language = "English",

volume = "982",

pages = "547--550",

journal = "Nuclear Physics A",

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

AU - Hidaka, Yoshimasa

AU - Pu, Shi

AU - Yang, Di Lun

N1 - Funding Information: Acknowledgments: D. Y. was supported by the RIKEN Foreign Postdoctoral Researcher program. Y. H. was partially supported by Japan Society of Promotion of Science (JSPS), Grants-in-Aid for Scientific Research (KAKENHI) Grants No. 15H03652, 16K17716, and 17H06462, and also by RIKEN iTHES Project and iTHEMS Program. S.P. was supported by JSPS post-doctoral fellowship for foreign researchers. D. Y. was supported by the RIKEN Foreign Postdoctoral Researcher program. Publisher Copyright: © 2018

PY - 2019/2

Y1 - 2019/2

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

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JO - Nuclear Physics A

JF - Nuclear Physics A

ER -

Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory

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Keywords

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