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

作者：Sheng, Xin-Li^*; Weickgenannt, Nora; Speranza, Enrico; Rischke, Dirk H.; Wang, Qun

来源：Physical Review D, 2021, 104(1): 016029.

DOI：10.1103/PhysRevD.104.016029

• QUARK-GLUON PLASMA
• TRANSPORT-THEORY
• DYNAMICAL MODEL
• POLARIZATION
• COLLISIONS
• PARTICLES
• ANALOGY
• TENSOR
• FLUID
• FLOW

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 (h) over bar 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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