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

2021/03/19 by Xin-Li Sheng, Nora Weickgenannt, Enrico Speranza +2 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Boltzmann constant #Boltzmann equation #Collision #Computer science #Distribution (mathematics) #Distribution function #High-Energy Particle Collisions Research #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nuclear reactor physics and engineering #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Spin (aerodynamics) #Spin polarization #Thermodynamics #Vorticity #nucl-th

paper · pdf · doi:10.1103/physrevd.104.016029

published as Phys. Rev. D 104, 016029 (2021) · RevTex 4, 24 pages, 2 figures

arxiv created 2021/03/19 · openalex created_date 2021/03/29 · openalex publication_date 2021/07/30 · arxiv updated 2021/08/04 · openalex updated_date 2026/08/05

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 quasiclassical parts of the Wigner functions. Nonlocal collision terms appear at next-to-leading order in \ensuremathℏ 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

• Spin polarization dynamics in the non-boost-invariant background
• Bubble wall velocity from Kadanoff-Baym equations: fluid dynamics and microscopic interactions