SciPost Physics

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.

• Yi et al., Probing vortical structures in heavy-ion collisions at RHIC-BES energies through helicity polarization
  Phys. Rev. C 109, L011901 (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]
• 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]
• 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]
• 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]
• Becattini et al., Entropy current and entropy production in relativistic spin hydrodynamics
  Physics Letters B 850, 138533 138533 (2024) [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]
• 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]
• Chen et al., Quantum kinetic theory with vector and axial gauge fields
  Phys. Rev. D 105, 014015 (2022) [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]
• Valle et al., Torsional constitutive relations at finite temperature
  J. High Energ. Phys. 2024, 185 (2024) [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]
• 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]
• 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]
• 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]