CHIRAL AND AXIAL ANOMALIES WITHIN THE FRAMEWORK OF GENERALIZED CANONICAL QUANTIZATION

A regularization scheme is proposed for the Hamiltonian formulation wi th constraints of the theory of gauge fields coupled to chiral fermion s or axial current. In this regularization, the Schwinger terms in the algebra of first-class constraints are shown to be consistent with th e covariant anomaly of the divergence of the corresponding current. Re gularized quantum master equations of gauge algebra are analyzed, and the Schwinger terms are found to break the nilpotency of the BRST-char ge and its conservation. The Wess-Zumino conditions are studied for th e BRST-anomaly and it is shown that they contradict the covariant Schw inger terms in the BRST-algebra.