Quantum kinetic equation for fluids of spin-1/2 fermions

Abstract Fluid of spin-1/2 fermions is represented by a complex scalar field and a four-vector field coupled both to the scalar and the Dirac fields. We present the underlying action and show that the resulting equations of motion are identical to the (hydrodynamic) Euler equations in the presence o...

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Autores principales:	Ömer F. Dayi, Eda Kilinçarslan
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Effective Field Theories Anomalies in Field and String Theories Chiral Lagrangians Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/64442825b4f6411aa8231c331b2ebf4e
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spelling	oai:doaj.org-article:64442825b4f6411aa8231c331b2ebf4e2021-11-14T12:42:19ZQuantum kinetic equation for fluids of spin-1/2 fermions10.1007/JHEP11(2021)0861029-8479https://doaj.org/article/64442825b4f6411aa8231c331b2ebf4e2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)086https://doaj.org/toc/1029-8479Abstract Fluid of spin-1/2 fermions is represented by a complex scalar field and a four-vector field coupled both to the scalar and the Dirac fields. We present the underlying action and show that the resulting equations of motion are identical to the (hydrodynamic) Euler equations in the presence of Coriolis force. As a consequence of the gauge invariances of this action we established the quantum kinetic equation which takes account of noninertial properties of the fluid in the presence of electromagnetic fields. The equations of the field components of Wigner function in Clifford algebra basis are employed to construct new semiclassical covariant kinetic equations of the vector and axial-vector field components for massless as well as massive fermions. Nonrelativistic limit of the chiral kinetic equation is studied and shown that it generates a novel three-dimensional transport theory which does not depend on spatial variables explicitly and possesses a Coriolis force term. We demonstrated that the three-dimensional chiral transport equations are consistent with the chiral anomaly. For massive fermions the three-dimensional kinetic transport theory generated by the new covariant kinetic equations is established in small mass limit. It possesses the Coriolis force and the massless limit can be obtained directly.Ömer F. DayiEda KilinçarslanSpringerOpenarticleEffective Field TheoriesAnomalies in Field and String TheoriesChiral LagrangiansNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-30 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Effective Field Theories Anomalies in Field and String Theories Chiral Lagrangians Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Effective Field Theories Anomalies in Field and String Theories Chiral Lagrangians Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Ömer F. Dayi Eda Kilinçarslan Quantum kinetic equation for fluids of spin-1/2 fermions
description	Abstract Fluid of spin-1/2 fermions is represented by a complex scalar field and a four-vector field coupled both to the scalar and the Dirac fields. We present the underlying action and show that the resulting equations of motion are identical to the (hydrodynamic) Euler equations in the presence of Coriolis force. As a consequence of the gauge invariances of this action we established the quantum kinetic equation which takes account of noninertial properties of the fluid in the presence of electromagnetic fields. The equations of the field components of Wigner function in Clifford algebra basis are employed to construct new semiclassical covariant kinetic equations of the vector and axial-vector field components for massless as well as massive fermions. Nonrelativistic limit of the chiral kinetic equation is studied and shown that it generates a novel three-dimensional transport theory which does not depend on spatial variables explicitly and possesses a Coriolis force term. We demonstrated that the three-dimensional chiral transport equations are consistent with the chiral anomaly. For massive fermions the three-dimensional kinetic transport theory generated by the new covariant kinetic equations is established in small mass limit. It possesses the Coriolis force and the massless limit can be obtained directly.
format	article
author	Ömer F. Dayi Eda Kilinçarslan
author_facet	Ömer F. Dayi Eda Kilinçarslan
author_sort	Ömer F. Dayi
title	Quantum kinetic equation for fluids of spin-1/2 fermions
title_short	Quantum kinetic equation for fluids of spin-1/2 fermions
title_full	Quantum kinetic equation for fluids of spin-1/2 fermions
title_fullStr	Quantum kinetic equation for fluids of spin-1/2 fermions
title_full_unstemmed	Quantum kinetic equation for fluids of spin-1/2 fermions
title_sort	quantum kinetic equation for fluids of spin-1/2 fermions
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/64442825b4f6411aa8231c331b2ebf4e
work_keys_str_mv	AT omerfdayi quantumkineticequationforfluidsofspin12fermions AT edakilincarslan quantumkineticequationforfluidsofspin12fermions
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Quantum kinetic equation for fluids of spin-1/2 fermions

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