Does There Exist Only One Solution of the Dyson--Schwinger Equation for the Quark Propagator in the Case of Non-Zero Current Quark Mass

It is shown on general ground that there exist two qualitatively distinct solutions of the Dyson--Schwinger equation for the quark propagator in the case of non-zero current quark mass. One solution corresponds to the ``Nambu--Goldstone'' phase and the other one corresponds to the ``Wigner'' phase in the chiral limit.