  A light-front Hamiltonian reproducing the results of two-dimensional quantum
electrodynamics in the Lorentz coordinates is constructed using the
bosonization procedure and an analysis of the bosonic perturbation theory in
all orders in the fermion mass. The resulting Hamiltonian involves a
supplementary counterterm in addition to the usual terms appearing in the naive
light-front quantization. This term is proportional to a linear combination of
zeroth fermion modes (which are multiplied by a factor compensating the charge
and fermion number). The coefficient of the counterterm has no ultraviolet
divergence, depends on the value of the fermion condensate in the
\theta-vacuum, and is linear in this value for a small fermion mass.
