  We analyse the mechanism in which zero modes lead to an elimination of
fermionic color non--singlet states in 1+1 dimensions. Using a hamiltonian
lattice formulation we clarify the physical meaning of the zero modes but we do
not find support for speculations on the crucial importance of lower
dimensional fields (zero modes in 1+1 dimension) for the infrared behavior of
QCD in 2+1 or higher dimensions.
