The anomalous side-jump mechanism is a Lorentz invariant and angular momentum conserved approach to include the spin-orbital interactions in scatterings of chiral fermions . In the present study, we incorporate for the first time this mechanism in a transport model that is based on the chiral kinetic equations. For a system of rotating and unpolarized quarks in a box, we find that the side-jump mechanism can dynamically generate the spin polarization of quarks with its final value consistent with that of massless quarks in thermal equilibrium in a self-consistent nonzero vorticity field. The total angular momentum of the system is also seen to be conserved during the evolution of the system. We further employ this angular momentum conserved chiral transport model to study the spin polarizations of quarks in relativistic heavy ion collisions. Besides the global polarization of massless quarks, results from this model can also help understand the puzzles in the local spin polarizations measured in experiments at the Relativistic Heavy Ion Collider .
J.-Y. Chen, D. T. Son, and M. A. Stephanov, Phys. Rev.Lett. 115, 021601 (2015)
S. Y. F. Liu, Y. Sun and C. M. Ko, Inpreparation