Correct Fujikawa regularization prescription in the chiral Schwinger model and the Wess-Zumino term

In the solutions for the chiral Schwinger model found in the literature, where path-integral methods were applied, the problem of Hermiticity of the regulator operator has been forgotten. We use two Hermitian prescriptions to solve this model exactly. We also include the Wess-Zumino term through the Faddeev-Popov procedure and study its behavior under both Hermitian prescriptions