Vp. Gusynin et al., (2-DIMENSIONAL QED WITH DYNAMICALLY MASSIVE FERMIONS IN VACUUM POLARIZATION(1)), Physical review. D. Particles and fields, 53(4), 1996, pp. 2227-2235
We study chiral symmetry breaking in three-dimensional QED with N-f fl
avors of four-component fermions. A closed system of Schwinger-Dyson e
quations for fermion and photon propagators and the full fermion-photo
n vertex is proposed, which is consistent with the Ward-Takahashi iden
tity. A simplified version of that set of equations is reduced (in the
nonlocal gauge) to the equation for a dynamical fermion mass function
, where the one-loop vacuum polarization with dynamically massive ferm
ions has been taken into account. The linearized equation for the ferm
ion mass function is analyzed in real space. The analytical solution i
s compared with the results of numerical calculations of the nonlinear
integral equation in momentum space.