  Based on the truncated Dyson-Schwinger equations for fermion and massive
boson propagators in QED$_3$, the fermion chiral condensate and the mass
singularities of the fermion propagator via the Schwinger function are
investigated. It is shown that the critical point of chiral phase transition is
apparently different from that of deconfinement phase transition and in Nambu
phase the fermion is confined only for small gauge boson mass.
