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Gauge-Invariant Formulation of the Chiral Schwinger Model with Faddeevian Regularization

We introduce the Wess–Zumino field to the chiral Schwinger model with Faddeevian regularization. The Wess–Zumino action has an interesting form; it is a self-dual (chiral) boson action. The Schwinger term between the correctly defined Gauss-law constraints and can be canceled by the WZ action, and the constraint is the first-class one.