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Generating spin polarization from vorticity through nonlocal collisions

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arxiv 2005.01506 v2 pith:TGPHTGDD submitted 2020-05-04 hep-ph nucl-th

Nora Weickgenannt , Enrico Speranza , Xin-li Sheng , Qun Wang , Dirk H. Rischke This is my paper · ORCID
classification hep-phnucl-th
keywords spinnonlocalcollisioncontributionenergy-momentumequationmotionterm
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abstract

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 $\hbar$ it contains a nonlocal contribution, which is responsible for the conversion of orbital into spin angular momentum. In a proper choice of pseudo-gauge the antisymmetric part of the energy-momentum tensor arises solely from this nonlocal contribution. We show that the collision term vanishes only 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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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Local Spin Polarization in Anisotropic Gubser Flow: Suppression Mechanism and Formulation Dependence

    nucl-th 2026-08 conditional novelty 6.0 of 10

    In an anisotropic Gubser flow, the longitudinal spin polarization's sign depends on which shear formulation is used, and two popular formulations show exact or near-exact cancellation between vorticity and shear contr...

  2. Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character

    hep-ph 2025-11 accept novelty 6.0 of 10

    All four studied formulations of perfect spin hydrodynamics satisfy divergence-type structure and are nonlinearly causal and stable when exact, nonperturbative distribution functions are used.

  3. Spin polarization of an expanding and rotating system

    nucl-th 2024-12 conditional novelty 6.0 of 10

    Derives closed equations for spin moments and a first-order longitudinal polarization formula for a boost-invariant, rotating relativistic fluid, connecting free streaming to hydrodynamics.

  4. Transverse and longitudinal spin alignment from color fields in heavy ion collisions

    nucl-th 2024-11 conditional novelty 6.0 of 10

    Spin alignment of phi mesons along the beam direction is predicted to exceed 1/3 for glasma fields and to show a sign-changing rapidity pattern for isotropic QGP color fields, offering a discriminating observable.

  5. Causality of polarizeable dissipative fluids from Lagrangian hydrodynamics

    nucl-th 2025-06 conditional novelty 5.0 of 10

    In a Lagrangian model of polarized dissipative fluids, causality couples the spin, shear, and bulk relaxation times through inequalities that can make polarization mask viscosity.

  6. Spin hydrodynamics

    hep-ph 2024-11 conditional novelty 2.0 of 10

    The paper proposes a hybrid perfect and dissipative spin hydrodynamics built on generalized tensor thermodynamic relations, but it contains no new derivation beyond the cited prior works.

  7. An introduction to relativistic spin hydrodynamics

    nucl-th 2024-11 accept novelty 1.0 of 10

    A review that derives the constitutive equations of relativistic spin hydrodynamics from thermodynamics and surveys challenges like pseudo-gauge ambiguity and spin freeze-out.

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