Anomalous Ward Identities in Spinor Field Theories

William A. Bardeen
Phys. Rev. 184, 1848 – Published 25 August 1969
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Abstract

We consider the model of a spinor field with arbitrary internal degrees of freedom having arbitrary nonderivative coupling to external scalar, pseudoscalar, vector, and axial-vector fields. By carefully defining the S matrix in the interaction picture, the vector and axial-vector currents associated with the external vector and axial-vector fields are found to satisfy anomalous Ward identities. If we require that the vector currents satisfy the usual Ward identities, the divergence of the axial-vector current contains well-defined anomalous terms. These terms are explicitly calculated.

  • Received 24 February 1969

DOI:https://doi.org/10.1103/PhysRev.184.1848

©1969 American Physical Society

Authors & Affiliations

William A. Bardeen*,†

  • Institute for Advanced Study, Princeton, New Jersey 08540

  • *Research sponsored by the Air Force Office of Scientific Research, U. S. Air Force, under AFOSR Grant No. 68-1365.
  • Present address: Department of Physics, Stanford University, Stanford, California 94305.

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Vol. 184, Iss. 5 — August 1969

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