MasslessSU(N)Yang-Mills theory in two dimensions

An analysis of two-dimensional, massless SU(N) Yang-Mills theory initiated previously is continued and extended. The fermion propagator in the presence of a non-Abelian potential is constructed exactly, and the corresponding (induced) vacuum fermion currents and their divergences are deduced. The analysis of the color-singlet current and the associated bound states reveals the nonexistence of massive color-singlet bound states. This fact, together with the previously established existence of massive ''colored'' states, characterizes the spectrum, save for possible massless excitations. A consideration of the boson-representation version of the theory reveals the symmetry breaking and the associated mass generation to be a Schwinger-type mechanism. An Abelian model illustrating this analogy is briefly analyzed and discussed.