CHIRAL AND AXIAL ANOMALIES WITHIN THE FRAMEWORK OF GENERALIZED CANONICAL QUANTIZATION

Citation
Iy. Karataeva et Sl. Lyakhovich, CHIRAL AND AXIAL ANOMALIES WITHIN THE FRAMEWORK OF GENERALIZED CANONICAL QUANTIZATION, Theoretical and mathematical physics, 105(1), 1995, pp. 1231-1248
Citations number
33
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
105
Issue
1
Year of publication
1995
Pages
1231 - 1248
Database
ISI
SICI code
0040-5779(1995)105:1<1231:CAAAWT>2.0.ZU;2-C
Abstract
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.