Lorentz-covariant nonlocal collision term for spin-1/2 particles

Abstract

We revisit the derivation of the nonlocal collision term in the Boltzmann equation for spin-1/2 particles, using both the Wigner-function approach by de Groot, van Leeuwen, and van Weert, and the Kadanoff-Baym equation in $T$-matrix approximation. Contrary to previous calculations, our results maintain full Lorentz covariance of the nonlocal collision term.

34 pages, 1 figure

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Cited by in corpus (14)

• The Present and Future of QCD
• Theories of Relativistic Dissipative Fluid Dynamics
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Damping of spin waves
• Hybrid approach to perfect and dissipative spin hydrodynamics
• Resummed spin hydrodynamics from quantum kinetic theory
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Generalized thermodynamic relations for perfect spin hydrodynamics
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Boost-invariant spin hydrodynamics with spin feedback effects
• Mean free path of photons in relativistic heavy ion collisions
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Application range of perfect spin hydrodynamics
• Hybrid framework of Fermi-Dirac spin hydrodynamics