Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”

Abstract We derive the chiral kinetic equation in 8 dimensional phase space in non- Abelian SU(N) gauge field within the Wigner function formalism. By using the “covariant gradient expansion”, we disentangle the Wigner equations in four-vector space up to the first order and find that only the time-...

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Autores principales:	Xiao-Li Luo, Jian-Hua Gao
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Quark-Gluon Plasma Anomalies in Field and String Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/468b158f4f504cbc840d2923cd442f96
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spelling	oai:doaj.org-article:468b158f4f504cbc840d2923cd442f962021-11-21T12:40:46ZCovariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”10.1007/JHEP11(2021)1151029-8479https://doaj.org/article/468b158f4f504cbc840d2923cd442f962021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)115https://doaj.org/toc/1029-8479Abstract We derive the chiral kinetic equation in 8 dimensional phase space in non- Abelian SU(N) gauge field within the Wigner function formalism. By using the “covariant gradient expansion”, we disentangle the Wigner equations in four-vector space up to the first order and find that only the time-like component of the chiral Wigner function is independent while other components can be explicit derivative. After further decomposing the Wigner function or equations in color space, we present the non-Abelian covariant chiral kinetic equation for the color singlet and multiplet phase-space distribution functions. These phase-space distribution functions have non-trivial Lorentz transformation rules when we define them in different reference frames. The chiral anomaly from non-Abelian gauge field arises naturally from the Berry monopole in Euclidian momentum space in the vacuum or Dirac sea contribution. The anomalous currents as non-Abelian counterparts of chiral magnetic effect and chiral vortical effect have also been derived from the non-Abelian chiral kinetic equation.Xiao-Li LuoJian-Hua GaoSpringerOpenarticleQuark-Gluon PlasmaAnomalies in Field and String TheoriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-22 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Quark-Gluon Plasma Anomalies in Field and String Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Quark-Gluon Plasma Anomalies in Field and String Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Xiao-Li Luo Jian-Hua Gao Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
description	Abstract We derive the chiral kinetic equation in 8 dimensional phase space in non- Abelian SU(N) gauge field within the Wigner function formalism. By using the “covariant gradient expansion”, we disentangle the Wigner equations in four-vector space up to the first order and find that only the time-like component of the chiral Wigner function is independent while other components can be explicit derivative. After further decomposing the Wigner function or equations in color space, we present the non-Abelian covariant chiral kinetic equation for the color singlet and multiplet phase-space distribution functions. These phase-space distribution functions have non-trivial Lorentz transformation rules when we define them in different reference frames. The chiral anomaly from non-Abelian gauge field arises naturally from the Berry monopole in Euclidian momentum space in the vacuum or Dirac sea contribution. The anomalous currents as non-Abelian counterparts of chiral magnetic effect and chiral vortical effect have also been derived from the non-Abelian chiral kinetic equation.
format	article
author	Xiao-Li Luo Jian-Hua Gao
author_facet	Xiao-Li Luo Jian-Hua Gao
author_sort	Xiao-Li Luo
title	Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
title_short	Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
title_full	Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
title_fullStr	Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
title_full_unstemmed	Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
title_sort	covariant chiral kinetic equation in non-abelian gauge field from “covariant gradient expansion”
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/468b158f4f504cbc840d2923cd442f96
work_keys_str_mv	AT xiaoliluo covariantchiralkineticequationinnonabeliangaugefieldfromcovariantgradientexpansion AT jianhuagao covariantchiralkineticequationinnonabeliangaugefieldfromcovariantgradientexpansion
_version_	1718418878936121344

Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”

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