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

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

doi:10.1088/0954-3899/24/12/002

paper

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

arXiv:hep-th/9810217 · doi:10.1088/0954-3899/24/12/002

Abstract

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. $o n e . F u r t h er m or e, t h r o ug h t h e p a t hin t e g r a l q u an t i z a t i o n, w e n e w l y r eso l v e t h e p r o b l e m o f t h e n o n - t r i v ia l$ Î´ $f u n c t i o na s w e l l a s t ha t o f t h e u n w an t e d F o u r i er p a r am e t er$ Î¾$ 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