Minimal Wess-Zumino-Witten Action and Faddeevian Regularization Scheme in Anomalous D = 2 Non-Abelian Chiral Theory

Abstract

We discuss anomalous d = 2 non-Abelian chiral theory with minimal Wess–Zumino–Witten (WZW) action. The Schwinger terms between Gauss-law constraints Ga(x) and Gb(y) can not be canceled by the minimal WZW action. If we define modified Gauss-law constraints , the Schwinger terms between the constraints and disappear, the constraints become the first-class ones. And the total action S(A, U, G) is gauge-invariant. When we choose the unitary gauge G = 1, the non-Abelian chiral theory with the generalized faddeevian regularization scheme is gained. And the relation between faddeevian and usual regularization can be obtained.