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Anomalous gauge theories as constrained Hamiltonian systems

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Zeitschrift für Physik C Particles and Fields

Abstract

Anomalous gauge theories considered as constrained systems are investigated. The effects of chiral anomaly on the canonical structure are examined first for nonlinear σ-model and later for fermionic theory. The breakdown of the Gauss law constraints and the anomalous commutators among them are studied in a systematic way. An intrinsic mass term for gauge fields makes it possible to solve the Gauss law relations as second class constraints. Dirac brackets between the time components of gauge fields are shown to involve anomalous terms. Based upon the Ward-Takahashi identities for gauge symmetry, we investigate anomalous fermionic theory within the framework of path integral approach.

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Authors and Affiliations

  1. Department of Physics, Ibaraki University, Mito, 310, Japan

    T. Fujiwara

  2. Toyota Technological Institute, Nagoya, 468, Japan

    S. Kitakado

Authors
  1. T. Fujiwara
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  2. S. Kitakado
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Fujiwara, T., Kitakado, S. Anomalous gauge theories as constrained Hamiltonian systems. Z. Phys. C - Particles and Fields 43, 201–214 (1989). https://doi.org/10.1007/BF01588207

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  • DOI: https://doi.org/10.1007/BF01588207

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