Semiclassical transport equations of Dirac particles in rotating frames

Dayı Ö. F. , Kilincarslan E.

PHYSICAL REVIEW D, vol.102, no.4, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 102 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1103/physrevd.102.045015
  • Title of Journal : PHYSICAL REVIEW D


We establish covariant semiclassical transport equations of massive spin-1/2 particles which are generated by the quantum kinetic equation modified by enthalpy current dependent terms. The purpose of modification is to take into account the noninertial properties due to the angular velocity of rotating frame which is equivalent to the fluid vorticity in the hydrodynamical approach. We present the equations satisfied by the Wigner function components and by studying their solutions in the semiclassical approximation we accomplish the transport equations.To acquire a three-dimensional kinetic theory, the relativistic kinetic equations in the comoving frame are integrated over the zeroth component of four-momentum. The resulting vector and axial-vector currents are calculated at zero temperature. There exists another three-dimensional formulation of Dirac particles which correctly addresses the noninertial features of rotating coordinates. We review it briefly and obtain the mass corrections to the chiral vector and axialvector currents produced by this formulation.