The quantization of the chiral Schwinger model based on the BFT-BFV formalism II

We apply an improved version of Batalin-Fradkin-Tyutin Hamiltonian method to the a=1 chiral Schwinger model, which is much more nontrivial than the a>1 one. Furthermore, through the path integral quantization, we newly resolve the problem of the nontrivial δ-function as well as that of the unwanted Fourier parameter ξ in the measure. As a result, we explicitly obtain the fully gauge invariant partition function, which includes a new type of Wess-Zumino term irrelevant to the gauge symmetry as well as the usual WZ action. (author)