Anomalies, Unitarity and Renormalization

  • Paul H. Frampton
Part of the Studies in the Natural Sciences book series (SNS, volume 16)


In these remarks, I wish to indicate how the renormalizability of a gauge theory with γ5 couplings to fermions can impose additional dynamical constraints to those already well known in connection with the triangle anomaly. Here, I can only outline how I differ from previous workers; for more details, see Refs. 1,2.


couPlings Milton 


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  1. 1.
    P. H. Frampton, Ohio State Preprint 000-1545-248 (Nov. 1978).Google Scholar
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    P. H. Frampton, Ohio State Preprint COO-1545-249 (Dec- 1978 ).Google Scholar
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    G.’t Hooft, Nucl. Phys. B35, 167 (1971).CrossRefGoogle Scholar
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    For a recent review and complete set of references, see P. H. Frampton, Lectures on Gauge Field Theories, Part Three: Renormalization, Ohio State Preprint COO-151+5-21+5 (1978).Google Scholar
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    S. L. Adler, Phys. Rev. 177, 2426 (1969) J. S. Bell and R. Jackiw, Nuovo Cimento 60A, 47 (1969).CrossRefGoogle Scholar
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    C. Bouchiat, J. Iliopoulos and Ph. Meyer, Phys. Letters 38b, 519 (1972); D. J. Gross and R. Jackiw, Phys. Rev. D6, 477 (1972); H. Georgi and S. L. Glashow, Phys. Rev. D6, 429 (1972).Google Scholar
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    W. A. Bardeen, Proceedings of the Sixteenth International Conference on High Energy Physics, Fermilab (1972) Vol. 2, p. 295.Google Scholar
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    It is necessary but not sufficient for a prescription to give unique, finite answers satisfying all Ward identities. There is also unitarity.Google Scholar
  9. 9.
    M. Baker and C. Lee, Phys. Rev. D15, 2201 (1977).Google Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • Paul H. Frampton
    • 1
  1. 1.Department of PhysicsThe Ohio State UniversityColumbusUSA

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