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

Park, Mu-In; Park, Young-Jai; Yoon, Sean J.

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

Authors

Park, Mu-In

Park, Young-Jai

Yoon, Sean J.

Description

We apply an improved version of Batalin-Fradkin-Tyutin (BFT) 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 non-trivial $δ$ 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 (WZ) term irrelevant to the gauge symmetry as well as usual WZ action.
17 pages, To be published in J. Phys. G