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Chiral and axial anomalies within the framework of generalized canonical quantization

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Abstract

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

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Authors and Affiliations

  1. Tomsk State University, USSR

    I. Ya. Karataeva & S. L. Lyakhovich

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  1. I. Ya. Karataeva
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  2. S. L. Lyakhovich
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 1, pp. 55–76, October, 1995.

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Karataeva, I.Y., Lyakhovich, S.L. Chiral and axial anomalies within the framework of generalized canonical quantization. Theor Math Phys 105, 1231–1248 (1995). https://doi.org/10.1007/BF02067492

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  • DOI: https://doi.org/10.1007/BF02067492

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