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Chiral and axial anomalies in the framework of generalized Hamiltonian BFV-quantization
The regularization scheme is proposed for the constrained Hamiltonian
formulation of the gauge fields coupled to the chiral or axial fermions. The
Schwinger terms in the regularized operator first-class constraint algebra are
shown to be consistent with the covariant divergence anomaly of the
corresponding current. Regularized quantum master equations are studied, and
the Schwinger terms are found out to break down both nilpotency of the
BRST-charge and its conservation law. Wess-Zumino consistency conditions are
studied for the BRST anomaly and they are shown to contradict to the covariant
Schwinger terms in the BRST algebra.Comment: LaTeX, 24p
A Superspace Formulation for the Master Equation
It is shown that the quantum master equation of the Field Antifield
quantization method at one loop order can be translated into the requirement of
a superfield structure for the action. The Pauli Villars regularization is
implemented in this BRST superspace and the case of anomalous gauge theories is
investigated. The quantum action, including Wess Zumino terms, shows up as one
of the components of a superfield that includes the BRST anomalies in the other
component. The example of W2 quantum gravity is also discussed.Comment: The constrained nature of standard BRST superfields and the
importance of using Alfaro and Damgaard's collective fields in the superspace
approach to avoid undefined superfield derivatives was emphasized. To appear
in Phys. Rev. D. Latex file, 20 page
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