Abstract

We study, for N arbitrary, SU( N) QCD in two dimensions, in the massless quark limit. We show that this theory possesses an exact zero mass bosonic bound state, which persists if the quarks are put in the adjoint representation or if the confining group is changed to SU( N)×SU( M). If an additional local U(1) interaction is added this state acquires a mass g 1 2/ π, as expected from anomaly considerations. The massless bosonic state saturates the chiral anomaly, implying that no zero mass fermionic bound states are in the theory. The relevance of our results for composite models of quarks and leptons is discussed.

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