Fermion contents and a dual structure in the generalized chiral Schwinger model

We solve the generalized chiral Schwinger model with a Wess-Zumino term in a covariant operator formalism. The model is essentially specified by two parameters (σ,a). The fermion operator is constructed from the asymptotic boson fields in bosonized versions of the model. The model yields a sensible quantum theory in some restricted domain of σ and a. The gauge field becomes massive. The fermion is confined. The model has a dual structure such that the model specified by (σ,a) is equivalent to the model specified by another set (σ' = - σ, a' = a + 2sin2σ). This duality, in particular, reveals the equivalence of the Schwinger model and the axial-Schwinger model. (author)