THE SOLUTIONS OF THE DYSON–SCHWINGER EQUATION FOR QUARK PROPAGATOR IN THE CASE OF NONZERO CURRENT QUARK MASS

In the framework of rainbow approximation of the Dyson–Schwinger equation approach, it is shown that there exist two qualitatively distinct solutions of the Dyson–Schwinger equation for the quark propagator in the case of nonzero current quark mass. One solution corresponds to the "Nambu–Goldstone" phase and the other one corresponds to the "Wigner" phase in the chiral limit.