  A transport equation of the representative quasi-particles is derived, by
solving Dirac (or Dyson) equations under the semi-classical approximation, for
describing the entangled motions of the red and blue chiral quarks in the
vicinity of a SU(2) t'Hooft-Polyakov monopole. The representative
quasi-particles have two states characterized by different dispersion
relations. A ground state quasi-particle has a zero pole mass, a zero
longitudinal inertial mass and a finite transverse inertial mass, while an
excited quasi-particle has a finite pole mass and finite inertial masses. At
equilibrium, the red and blue currents flow against each other in the
transverse direction, and the red and blue axial currents flow against each
other in the radial direction.
