Generating spin polarization from vorticity through nonlocal collisions

  • We derive the collision term in the Boltzmann equation using the equation of motion for the Wigner function of massive spin-1/2 particles. To next-to-lowest order in h, it contains a nonlocal contribution, which is responsible for the conversion of orbital into spin angular momentum. In a proper choice of pseudogauge, the antisymmetric part of the energy-momentum tensor arises solely from this nonlocal contribution. We show that the collision term vanishes in global equilibrium and that the spin potential is, then, equal to the thermal vorticity. In the nonrelativistic limit, the equations of motion for the energy-momentum and spin tensors reduce to the well-known form for hydrodynamics for micropolar fluids.

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Author:Nora WeickgenanntORCiDGND, Enrico SperanzaORCiDGND, Xin-li Sheng, Qun WangORCiD, Dirk H. RischkeORCiDGND
Parent Title (English):Physical review letters
Place of publication:College Park, Md.
Document Type:Article
Date of Publication (online):2021/07/27
Date of first Publication:2021/07/27
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2022/07/11
Tag:Hydrodynamic models; Quantum field theory; Quark-gluon plasma; Relativistic heavy-ion collisions; Relativistic kinetic theory
Issue:5, art. 2301
Article Number:2301
Page Number:7
First Page:1
Last Page:7
Funded by SCOAP. The work of D. H. R., E. S., and N. W. is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Collaborative Research Center CRC-TR 211 “Strong-interaction matter under extreme conditions” Project No. 315477589—TRR 211. E. S. acknowledges support by BMBF “Forschungsprojekt: 05P2018—Ausbau von ALICE am LHC (Grant No. 05P18RFCA1)”. X.-L. S. and Q. W. are supported in part by the National Natural Science Foundation of China (NSFC) under Grants No. 11890713, No. 11890710, and No. 11947301.
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0