  A nonperturbative approach to two-dimensional covariant gauge QCD is
presented in the context of the Schwinger-Dyson equations and the corresponding
Slavnov-Taylor identities. The distribution theory, complemented by the
dimensional regularization method, is used in order to treat correctly the
infrared singularities which inevitably appear in the theory. By working out
the multiplicative renormalization program we remove them from the theory on a
general ground and in a self-consistent way, proving thus the infrared
multiplicative renormalizability of two-dimensional QCD within our approach. We
also show explicitly how to formulate the bound-state problem and the
Schwinger-Dyson equations for the gluon propagator and the triple gauge field
proper vertex, all free from the infrared singularities.
