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Gauge Invariance in Spite of Anomalies

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The Fundamental Interaction

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Abstract

We show that, contrary to previous belief, even in models with chiral fermions coupled to a dynamical gauge field an improved quantization procedure leads to a quantum system which is gauge (BRST) invariant; there are no genuine anomalies which spoil this invariance. This statement is proven in the path integral formalism for the general case, and is made explicit for the chiral Schwinger model, which leads to a consistent quantum theory in spite of the “anomaly”.

Supported by the Bundesministerium für Forschung und Technologie, 05 4 HH 92 P/3, Bonn, FRG

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Author information

Authors and Affiliations

  1. II Institut für Theoretische Physik, Universität Hamburg, Notkestr. 85, 2000, Hamburg 52, Fed. Rep. Germany

    N. K. Falck

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  1. N. K. Falck
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Editor information

Editors and Affiliations

  1. Bad Honnef Physics Center, Bad Honnef, Federal Republic of Germany

    Joachim Debrus

  2. Physics Department, University of Dortmund, Dortmund, Federal Republic of Germany

    Allen C. Hirshfeld

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© 1988 Plenum Press, New York

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Falck, N.K. (1988). Gauge Invariance in Spite of Anomalies. In: Debrus, J., Hirshfeld, A.C. (eds) The Fundamental Interaction. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9522-9_6

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  • DOI: https://doi.org/10.1007/978-1-4615-9522-9_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-9524-3

  • Online ISBN: 978-1-4615-9522-9

  • eBook Packages: Springer Book Archive

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