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From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions

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arxiv 2103.10636 v1 pith:HD6PNPVH submitted 2021-03-19 nucl-th

Xin-Li Sheng , Nora Weickgenannt , Enrico Speranza , Dirk H. Rischke , Qun Wang This is my paper · ORCID
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abstract

We derive Boltzmann equations for massive spin-1/2 fermions with local and nonlocal collision terms from the Kadanoff--Baym equation in the Schwinger--Keldysh formalism, properly accounting for the spin degrees of freedom. The Boltzmann equations are expressed in terms of matrix-valued spin distribution functions, which are the building blocks for the quasi-classical parts of the Wigner functions. Nonlocal collision terms appear at next-to-leading order in $\hbar$ and are sources for the polarization part of the matrix-valued spin distribution functions. The Boltzmann equations for the matrix-valued spin distribution functions pave the way for simulating spin-transport processes involving spin-vorticity couplings from first principles.

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Cited by 4 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. Spin alignment of vector mesons in local equilibrium by Zubarev's approach

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.

  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. Nonequilibrium approach to heavy-quark transport

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Heavy-quark transport in quark-gluon plasma is derived from the Kadanoff-Baym equation; off-shell and memory effects reduce scattering rates and slow relaxation.

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