2018/07/31 by Di-Lun Yang · 2 citations
Physics and Astronomy · #Angular momentum #Angular momentum coupling #Classical mechanics #Conservation law #High-Energy Particle Collisions Research #Kinetic energy #Mechanics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Total angular momentum quantum number #Vortex #Vorticity #cond-mat.mes-hall #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.98.076019
published as Phys. Rev. D 98, 076019 (2018) · 20 pages, paragraphs extended, the entropy-density current added, journal version accepted by PRD
arxiv created 2018/10/17 · openalex publication_date 2018/10/31 · arxiv updated 2018/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We apply the Wigner-function approach and chiral kinetic theory to investigate the angular momentum and polarization of chiral fluids composed of Weyl fermions with background electric/magnetic fields and vorticity. It is found that the quantum corrections in Wigner functions give rise to nonzero antisymmetric components in the canonical energy-momentum tensors, which are responsible for the spin-orbit interaction. In global equilibrium, conservation of the canonical angular momentum reveals the cancellation between the orbital component stemming from side jumps with nonzero vorticity and the spin component in the presence of an axial chemical potential. We further analyze the conservation laws near local equilibrium. It turns out that the canonical angular momentum is no longer conserved even in the absence of background fields due to the presence of a local torque coming from the spin-orbit interaction involving temperature/chemical-potential gradients, which is implicitly led by collisions.