Hydrodynamics of spin currents
Domingo Gallegos, Umut Gursoy, Amos Yarom
SciPost Phys. 11, 041 (2021) · published 26 August 2021
- doi: 10.21468/SciPostPhys.11.2.041
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Abstract
We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.11.2.041
TI - Hydrodynamics of spin currents
PY - 2021/08/26
UR - https://scipost.org/SciPostPhys.11.2.041
JF - SciPost Physics
JA - SciPost Phys.
VL - 11
IS - 2
SP - 041
A1 - Gallegos, Angel Domingo
AU - Gürsoy, Umut
AU - Yarom, Amos
AB - We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.
ER -
@Article{10.21468/SciPostPhys.11.2.041,
title={{Hydrodynamics of spin currents}},
author={Domingo Gallegos and Umut Gursoy and Amos Yarom},
journal={SciPost Phys.},
volume={11},
pages={041},
year={2021},
publisher={SciPost},
doi={10.21468/SciPostPhys.11.2.041},
url={https://scipost.org/10.21468/SciPostPhys.11.2.041},
}
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-
Yi et al., Probing vortical structures in heavy-ion collisions at RHIC-BES energies through helicity polarization
Phys. Rev. C 109, L011901 (2024) [Crossref] -
Wagner et al., Damping of spin waves
Phys. Rev. Research 6, 043103 (2024) [Crossref] -
Peng et al., Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
Phys. Rev. D 107, 096010 (2023) [Crossref] -
Głódkowski et al., Dissipative fracton superfluids
J. High Energ. Phys. 2024, 285 (2024) [Crossref] -
Weickgenannt et al., Spin polarization of an expanding and rotating system
Phys. Rev. D 111, 076007 (2025) [Crossref] -
Delacrétaz et al., Damping of Pseudo-Goldstone Fields
Phys. Rev. Lett. 128, 141601 (2022) [Crossref] -
Wang et al., Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
Phys. Rev. D 104, 114043 (2021) [Crossref] -
Weickgenannt et al., Spin kinetic theory with a nonlocal relaxation time approximation
Phys. Rev. D 111, 056006 (2025) [Crossref] -
Floerchinger et al., Conserved and nonconserved Noether currents from the quantum effective action
Phys. Rev. D 105, 085015 (2022) [Crossref] -
Sarwar et al., Causality and stability of relativistic spin hydrodynamics
Phys. Rev. D 107, 054031 (2023) [Crossref] -
Becattini et al., Local Polarization and Isothermal Local Equilibrium in Relativistic Heavy Ion Collisions
Phys. Rev. Lett. 127, 272302 (2021) [Crossref] -
Jain et al., Dipole superfluid hydrodynamics. Part II.
J. High Energ. Phys. 2024, 197 (2024) [Crossref] -
Biswas et al., Boost invariant spin hydrodynamics within the first order in derivative expansion
Phys. Rev. D 107, 094022 (2023) [Crossref] -
Wang et al., Late-time asymptotic solutions, attractor, and focusing behavior of spin hydrodynamics
Phys. Rev. D 111, 034033 (2025) [Crossref] -
Sorensen et al., Dense nuclear matter equation of state from heavy-ion collisions
Progress in Particle and Nuclear Physics 134, 104080 104080 (2024) [Crossref] -
Valle et al., On Nieh-Yan transport
J. High Energ. Phys. 2022, 177 (2022) [Crossref] -
Rocha et al., Theories of Relativistic Dissipative Fluid Dynamics
Entropy 26, 189 (2024) [Crossref] -
Armas et al., Carrollian Fluids and Spontaneous Breaking of Boost Symmetry
Phys. Rev. Lett. 132, 161606 (2024) [Crossref] -
Florkowski, Spin hydrodynamics
Journal of Subatomic Particles and Cosmology 3, 100028 100028 (2025) [Crossref] -
Becattini et al., Entropy current and entropy production in relativistic spin hydrodynamics
Physics Letters B 850, 138533 138533 (2024) [Crossref] -
Singh et al., Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
Phys. Rev. C 111, 024907 (2025) [Crossref] -
Wagner et al., Generating tensor polarization from shear stress
Phys. Rev. Research 5, 013187 (2023) [Crossref] -
Weickgenannt, Linearly stable and causal relativistic first-order spin hydrodynamics
Phys. Rev. D 108, 076011 (2023) [Crossref] -
Das, Quantum statistical fluctuation of energy and its novel pseudo-gauge dependence
Phys. Scr. 97, 074002 (2022) [Crossref] -
Daher et al., Stability and causality of rest frame modes in second-order spin hydrodynamics
Phys. Rev. D 109, 114001 (2024) [Crossref] -
Gonçalves et al., Spin alignment of vector mesons as a probe of spin hydrodynamics and freeze-out
Phys. Rev. C 105, 034913 (2022) [Crossref] -
Hidaka et al., Spin relaxation rate for baryons in a thermal pion gas
Phys. Rev. C 109, 054909 (2024) [Crossref] -
Ren et al., Thermodynamic stability in relativistic viscous and spin hydrodynamics
Phys. Rev. D 110, 034010 (2024) [Crossref] -
Weickgenannt et al., Pseudogauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
Phys. Rev. D 105, 116026 (2022) [Crossref] -
Weickgenannt et al., Chiral hydrodynamics of expanding systems
Phys. Rev. D 109, 056012 (2024) [Crossref] -
Wagner, Resummed spin hydrodynamics from quantum kinetic theory
Phys. Rev. D 111, 016008 (2025) [Crossref] -
Pu et al., Relativistic spin hydrodynamics
Acta Phys. Sin. 72, 071202 (2023) [Crossref] -
Florkowski et al., Spin polarization dynamics in the non-boost-invariant background
Phys. Rev. D 105, 054007 (2022) [Crossref] -
Lin, Quantum kinetic theory for quantum electrodynamics
Phys. Rev. D 105, 076017 (2022) [Crossref] -
Abboud et al., Causal and stable first-order chiral hydrodynamics
Phys. Rev. D 109, 094007 (2024) [Crossref] -
Buzzegoli, Pseudogauge dependence of the spin polarization and of the axial vortical effect
Phys. Rev. C 105, 044907 (2022) [Crossref] -
Hongo et al., Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
J. High Energ. Phys. 2022, 263 (2022) [Crossref] -
Cartwright et al., Convergence of hydrodynamics in a rotating strongly coupled plasma
Phys. Rev. D 108, 046014 (2023) [Crossref] -
Hattori et al., New Developments in Relativistic Magnetohydrodynamics
Symmetry 14, 1851 (2022) [Crossref] -
She et al., Relativistic viscous hydrodynamics with angular momentum
Science Bulletin 67, 2265 (2022) [Crossref] -
Daher et al., Stability constraint for spin equation of state
Phys. Rev. D 110, 034029 (2024) [Crossref] -
Xie et al., Causality and stability analysis for the minimal causal spin hydrodynamics
Phys. Rev. D 108, 094031 (2023) [Crossref] -
Hongo et al., Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
J. High Energ. Phys. 2021, 150 (2021) [Crossref] -
Bhadury et al., New developments in relativistic fluid dynamics with spin
Eur. Phys. J. Spec. Top. 230, 655 (2021) [Crossref] -
Nissinen et al., Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral
p+ip
Weyl condensates
Phys. Rev. D 106, 045022 (2022) [Crossref] -
De Moura et al., Quarkonium spin alignment in a vortical medium
Phys. Rev. D 108, 034032 (2023) [Crossref] -
Becattini et al., Spin polarization in relativistic heavy-ion collisions
Int. J. Mod. Phys. E 33, 2430006 (2024) [Crossref] -
Wang, Spin evolution of massive fermion in QED plasma
Phys. Rev. D 106, 076011 (2022) [Crossref] -
Bhadury et al., Polarization of spin-12 particles with effective spacetime dependent masses
Physics Letters B 849, 138464 138464 (2024) [Crossref] -
Liu et al., Spin polarization formula for Dirac fermions at local equilibrium
Sci. China Phys. Mech. Astron. 65, 272011 (2022) [Crossref] -
Bhadury et al., Relativistic Spin Magnetohydrodynamics
Phys. Rev. Lett. 129, 192301 (2022) [Crossref] -
Daher et al., Stability studies of first-order spin-hydrodynamic frameworks
Phys. Rev. D 107, 054043 (2023) [Crossref] -
Hidaka et al., Foundations and applications of quantum kinetic theory
Progress in Particle and Nuclear Physics 127, 103989 103989 (2022) [Crossref] -
Kiamari et al., Relativistic magnetohydrodynamics of a spinful and vortical fluid: Entropy current analysis
Phys. Rev. D 109, 036024 (2024) [Crossref] -
Amano et al., Relativistic hydrodynamics under rotation: Prospects and limitations from a holographic perspective
Progress in Particle and Nuclear Physics 139, 104135 104135 (2024) [Crossref] -
Florkowski et al., Interpretation of
Λ
spin polarization measurements
Phys. Rev. C 106, 024905 (2022) [Crossref] -
Wagner et al., Lorentz-covariant nonlocal collision term for spin-
1/2
particles
Phys. Rev. D 106, 116021 (2022) [Crossref] -
Shigematsu et al., Full calculation of inter-conversion between charge, spin, and heat current using a common partial differential equation platform
131, 243903 (2022) [Crossref] -
Dong et al., Dilepton helical production in a vortical quark-gluon plasma
Eur. Phys. J. A 58, 176 (2022) [Crossref] -
Mavromatos et al., Torsion at Different Scales: From Materials to the Universe
Universe 9, 516 (2023) [Crossref] -
Weickgenannt et al., Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
Phys. Rev. D 106, L091901 (2022) [Crossref] -
Gallegos et al., Hydrodynamics, spin currents and torsion
J. High Energ. Phys. 2023, 139 (2023) [Crossref] -
Singh, Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
Int. J. Mod. Phys. A 38, 2330011 (2023) [Crossref] -
Cao et al., Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
2022, 071D01 (2022) [Crossref] -
Drogosz et al., Hybrid approach to perfect and dissipative spin hydrodynamics
Phys. Rev. D 110, 096018 (2024) [Crossref] -
Chen et al., Quantum kinetic theory with vector and axial gauge fields
Phys. Rev. D 105, 014015 (2022) [Crossref] -
Fang et al., First-order spin magnetohydrodynamics
Journal of Subatomic Particles and Cosmology 1-2, 100003 100003 (2024) [Crossref] -
Yi et al., Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
Phys. Rev. C 104, 064901 (2021) [Crossref] -
Singh et al., Relativistic hydrodynamics with spin in the presence of electromagnetic fields
Nuclear Physics A 1035, 122656 122656 (2023) [Crossref] -
Dey et al., Kubo formula for spin hydrodynamics: Spin chemical potential as the leading order term in a gradient expansion
Phys. Rev. D 111, 074037 (2025) [Crossref] -
Valle et al., Torsional constitutive relations at finite temperature
J. High Energ. Phys. 2024, 185 (2024) [Crossref] -
She et al., Relativistic second-order spin hydrodynamics: A Kubo-type formulation for the quark-gluon plasma
Phys. Rev. D 111, 036027 (2025) [Crossref] -
Biswas et al., Relativistic second-order spin hydrodynamics: An entropy-current analysis
Phys. Rev. D 108, 014024 (2023) [Crossref] -
Yi et al., Hydrodynamic helicity polarization in relativistic heavy ion collisions
Phys. Rev. C 105, 044911 (2022) [Crossref] -
Florkowski et al., Generalized Thermodynamic Relations for Perfect Spin Hydrodynamics
Phys. Rev. Lett. 134, 082302 (2025) [Crossref] -
Weickgenannt et al., Relativistic second-order dissipative spin hydrodynamics from the method of moments
Phys. Rev. D 106, 096014 (2022) [Crossref] -
Waeber et al., Colliding localized, lumpy holographic shocks with a granular nuclear structure
J. High Energ. Phys. 2023, 208 (2023) [Crossref] -
Wu et al., Local and global polarization of
Λ
hyperons across RHIC-BES energies: The roles of spin hall effect, initial condition, and baryon diffusion
Phys. Rev. C 105, 064909 (2022) [Crossref] -
Speranza et al., Challenges in solving chiral hydrodynamics
Phys. Rev. D 107, 054029 (2023) [Crossref] -
Weickgenannt et al., Polarization dynamics from moment equations
Phys. Rev. D 109, 056019 (2024) [Crossref] -
Glorioso et al., Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
J. High Energ. Phys. 2023, 22 (2023) [Crossref] -
Wagner et al., Quantum kinetic theory with interactions for massive vector bosons
Phys. Rev. D 108, 116017 (2023) [Crossref] -
Hu, Cross effects in spin hydrodynamics: Entropy analysis and statistical operator
Phys. Rev. C 107, 024915 (2023) [Crossref] -
Buzzegoli et al., Emergent Canonical Spin Tensor in the Chiral-Symmetric Hot QCD
Phys. Rev. Lett. 133, 262301 (2024) [Crossref] -
Daher et al., Canonical and phenomenological formulations of spin hydrodynamics
Phys. Rev. C 108, 024902 (2023) [Crossref] -
Elfner et al., The exploration of hot and dense nuclear matter: introduction to relativistic heavy-ion physics
J. Phys. G: Nucl. Part. Phys. 50, 103001 (2023) [Crossref] -
Fang et al., Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
Phys. Rev. D 111, 034015 (2025) [Crossref] -
Drogosz et al., Boost-invariant spin hydrodynamics with spin feedback effects
Phys. Rev. C 111, 024909 (2025) [Crossref] -
Erdmenger et al., Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
SciPost Phys. 14, 099 (2023) [Crossref] -
Caddeo et al., Emergent dipole gauge fields and fractons
Phys. Rev. D 106, L111903 (2022) [Crossref] -
Wang et al., Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
Phys. Rev. D 105, 114050 (2022) [Crossref] -
Fang et al., Quantum kinetic theory for dynamical spin polarization from QED-type interaction
Phys. Rev. D 106, 016002 (2022) [Crossref]
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Angel Domingo Gallegos,
- 1 Umut Gürsoy,
- 2 Amos Yarom
Funders for the research work leading to this publication
- Consejo Nacional de Ciencia y Tecnología [CONACYT]
- Israel Science Foundation [ISF]
- Ministerie van Onderwijs, Cultuur en Wetenschap / Ministry of Education Culture and Science [OCW]
- United States - Israel Binational Science Foundation (through Organization: United States-Israel Binational Science Foundation [BSF])