Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation

Abstract Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed...

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Autores principales:	Masaru Hongo, Xu-Guang Huang, Matthias Kaminski, Mikhail Stephanov, Ho-Ung Yee
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Quark-Gluon Plasma Space-Time Symmetries Effective Field Theories Global Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/2f4b35ba70e94d78809eeed051032178
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spelling	oai:doaj.org-article:2f4b35ba70e94d78809eeed0510321782021-11-28T12:39:32ZRelativistic spin hydrodynamics with torsion and linear response theory for spin relaxation10.1007/JHEP11(2021)1501029-8479https://doaj.org/article/2f4b35ba70e94d78809eeed0510321782021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)150https://doaj.org/toc/1029-8479Abstract Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non-hydrodynamic modes corresponding to a spin vector, whose relaxation time is controlled by a new transport coefficient: the rotational viscosity. We study linear response theory and observe an interesting mode mixing phenomenon between the transverse shear and the spin density modes. We propose several field-theoretical ways to compute the spin relaxation time and the rotational viscosity, via the Green-Kubo formula based on retarded correlation functions.Masaru HongoXu-Guang HuangMatthias KaminskiMikhail StephanovHo-Ung YeeSpringerOpenarticleQuark-Gluon PlasmaSpace-Time SymmetriesEffective Field TheoriesGlobal SymmetriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-35 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Quark-Gluon Plasma Space-Time Symmetries Effective Field Theories Global Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Quark-Gluon Plasma Space-Time Symmetries Effective Field Theories Global Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Masaru Hongo Xu-Guang Huang Matthias Kaminski Mikhail Stephanov Ho-Ung Yee Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
description	Abstract Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non-hydrodynamic modes corresponding to a spin vector, whose relaxation time is controlled by a new transport coefficient: the rotational viscosity. We study linear response theory and observe an interesting mode mixing phenomenon between the transverse shear and the spin density modes. We propose several field-theoretical ways to compute the spin relaxation time and the rotational viscosity, via the Green-Kubo formula based on retarded correlation functions.
format	article
author	Masaru Hongo Xu-Guang Huang Matthias Kaminski Mikhail Stephanov Ho-Ung Yee
author_facet	Masaru Hongo Xu-Guang Huang Matthias Kaminski Mikhail Stephanov Ho-Ung Yee
author_sort	Masaru Hongo
title	Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
title_short	Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
title_full	Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
title_fullStr	Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
title_full_unstemmed	Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
title_sort	relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/2f4b35ba70e94d78809eeed051032178
work_keys_str_mv	AT masaruhongo relativisticspinhydrodynamicswithtorsionandlinearresponsetheoryforspinrelaxation AT xuguanghuang relativisticspinhydrodynamicswithtorsionandlinearresponsetheoryforspinrelaxation AT matthiaskaminski relativisticspinhydrodynamicswithtorsionandlinearresponsetheoryforspinrelaxation AT mikhailstephanov relativisticspinhydrodynamicswithtorsionandlinearresponsetheoryforspinrelaxation AT houngyee relativisticspinhydrodynamicswithtorsionandlinearresponsetheoryforspinrelaxation
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Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation

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