ACAD SINICA,INST HIGH ENERGY PHYS,DIV THEORY,BEIJING 100039,PEOPLES R CHINA
; UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA
; UNIV SCI & TECHNOL CHINA,CTR FUNDAMENTAL PHYS,HEFEI 230026,PEOPLES R CHINA
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 G(x) and G(y) can be canceled by the WZ action, and the constraint G(x) is the first-class one.