Batalin-Fradkin quantization of anomalous chiral gauge theories

We quantize two-dimensional anomalous chiral gauge theories by following the Batalin-Fradkin prescription for converting second-class systems to first-class ones. Because of the chiral anomaly, the classical Poisson brackets of the Batalin-Fradkin scheme must be replaced by anomalous Poisson brackets in the fermionic formulation. With respect to these brackets the first-class constraints, the BRST charge, and the unitarizing Hamiltonian are explicitly constructed. The partition function is computed for different gauge choices. The unitary gauge and the conventional Faddeev-Popov-like gauges are analyzed in detail. In the latter gauges we obtain generalized Wess-Zumino-type actions