LAUSR

The NJL model of one-flavor quark is employed to study the properties of QCD mater with finite temperature, external magnetic field, and chiral chemical potential. Through the mean-field approximation and a self-consistent method, a non-perturbative quark propagator is proposed to deduce the gap equations, and it can be proved that besides the classic vacuum condensate, there are non-zero statistical averages of a quark current and quark magnetic moment. Through a rigorous algebraic method, the quark current leads to a modified chiral magnetic effect. Through a numerical method, the quark magnetic moment is non-zero in the chiral breaking phase, and its relation with chiral chemical potential is studied.