  The color-flavor transformation, an identity that connects two integrals,
each of which is over one of a dual pair of Lie groups acting in the fermionic
Fock space, is extended to the case of the special unitary group. Using this
extension, a toy model of lattice QCD is studied: N_f species of spinless
fermions interacting with strongly coupled SU(N_c) lattice gauge fields in 1+1
dimensions. The color-flavor transformed theory is expressed in terms of gauge
singlets, the meson fields, organized into sectors distinguished by the
distribution of baryonic flux. A comprehensive analytical and numerical search
is made for saddle-point configurations of the meson fields, with various
topological charges, in the vacuum and single-baryon sectors. Two definitions
of the static baryon on the square lattice, straight and zigzag, are
investigated. The masses of the baryonic states are estimated using the
saddle-point approximation for large N_c.
