COMPARISON OF THE ANOMALOUS AND NONANOMALOUS GENERALIZED SCHWINGER MODELS VIA THE FUNCTIONAL FORMALISM

We calculate the Green functions of the two versions of the generalize d Schwinger model, the anomalous and the nonanomalous one, in their hi gher order Lagrangian density form. Furthermore, it is shown through a sequence of transformations that the bosonized Lagrangian density is equivalent to the former, at least for the bosonic correlation functio ns. The introduction of the sources from the beginning, leading to a g auge-invariant source term, is also considered. It is verified that th e two models have the same correlation functions only if the gauge-inv ariant sector is taken into account. Finally, there is presented a gen eralization of the Wess-Zumino term, and its physical consequences are studied, in particular the appearance of gauge-dependent massive exci tations.