Non-Abelian chiral kinetic theory with self-consistent semiclassical expansion

A bstract We derive the chiral kinetic theory in a non-Abelian gauge field using a self-consistent semiclassical expansion. Within this new expansion scheme, we disentangle the Wigner equations up to second order and demonstrate that they do not introduce additional constraint equations. We analyze the transformation rules of distribution functions defined in different reference frames and derive the resulting chiral effects in global equilibrium, induced by vorticity and gauge fields. By integrating the covariant chiral kinetic equations in eight-dimensional phase space, we obtain the corresponding equations in seven-dimensional phase space. This reduction facilitates numerical simulations and practical applications.