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Covariant Spin Kinetic Theory I: Collisionless Limit

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arxiv 2002.03753 v4 pith:3D2LGRA5 submitted 2020-02-10 hep-ph cond-mat.mes-hallhep-thnucl-th

Yu-Chen Liu , Kazuya Mameda , Xu-Guang Huang This is my paper · ORCID
classification hep-phcond-mat.mes-hallhep-thnucl-th
keywords kinetictheoryfieldspincovariantelectromagneticaccurateapplication
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abstract

We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate at $O(\hbar)$, which describe the transports of particle number and spin degrees of freedom. The relation with the chiral kinetic theory is discussed. As an application, we study the spin polarization in the presence of finite Riemann curvature and electromagnetic field in both local and global equilibrium states.

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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

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    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...

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    In AMPT and UrQMD simulations, fluid acceleration in heavy-ion collisions reaches a few hundred MeV, peaks at fireball boundaries, and evolves from stopping-dominated deceleration at low energies to boundary/tilt puls...

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    A spinning quark in a background Yang-Mills field obeys a new, constraint-preserving, gauge-invariant set of classical equations of motion that reduce to the Wong equations when spin effects are turned off.

  4. Tensor spin polarization induced by curved freeze-out hypersurface

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The curvature of the freeze-out hypersurface induces a tensor spin polarization of vector mesons at leading gradient order, with predicted phi-meson spin alignment around -10^-4 to -10^-3.

  5. Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.

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    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.

  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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