1The quantization of the Chiral Schwinger model based on the Hamilton-Jacobi formalism

We apply the Hamilton-Jacobi method to the Chiral Schwinger model in the case of regularization ambiguity a = 1. We show that one can obtain the integrable set of equation of motion and the action function by using the integrability conditions of total differential equations and without any need to introduce unphysical auxiliary fields. The path integral for this model is obtained by using the canonical path integral method. 1