R. Banerjee et al., BATALIN-FRADKIN QUANTIZATION OF ANOMALOUS CHIRAL GAUGE-THEORIES, Physical review. D. Particles and fields, 49(10), 1994, pp. 5438-5445
We quantize two-dimensional anomalous chiral gauge theories by followi
ng the Batalin-Fradkin prescription for converting second-class system
s to first-class ones. Because of the chiral anomaly, the classical Po
isson brackets of the Batalin-Fradkin scheme must be replaced by anoma
lous Poisson brackets in the fermionic formulation. With respect to th
ese brackets the first-class constraints, the BRST charge, and the uni
tarizing Hamiltonian are explicitly constructed. The partition functio
n is computed for different gauge choices. The unitary gauge and the c
onventional Faddeev-Popov-like gauges are analyzed in detail. In the l
atter gauges we obtain generalized Wess-Zumino-type actions.