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Vanishing of the Second-Order Correction to the Triangle Anomaly in Landau-Gauge, Zero-Fermion-Mass Quantum Electrodynamics

Stephen L. Adler

R. W. Brown

T. F. Wong

B.-L. Young

  • Institute for Advanced Study, Princeton, New Jersey 08540

  • Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106

  • Department of Physics, Brookhaven National Laboratory, Upton, New York 11973

  • Department of Physics, Iowa State University, Ames, Iowa 50010

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Phys. Rev. D 4, 1787 – Published 15 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1787

Abstract

We investigate possible second-order radiative corrections to the axial-vector divergence anomaly in spinor electrodynamics. Our procedure is to directly evaluate the shift terms which lead to the anomaly in zero-fermion-mass, Landau-gauge electrodynamics. This version of electrodynamics is chosen because it makes the electron propagator and vertex function finite, so that no infinite renormalizations need be dealt with in the anomaly calculation. We find that the second-order corrections to the anomaly do vanish, in agreement with the work of Adler and Bardeen and with calculations (by different methods) of other authors.

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References (22)

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  15. Omitted endnote

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  17. Omitted endnote

  18. Omitted endnote

  19. Omitted endnote

  20. [14], pp. 220-223 R. J. Eden, P. V. Landshoff, D. I. Olive, and J. C. Polkinghorne, The Analytic S-Matrix (Cambridge Univ. Press, Cambridge, England, 1966), pp. 31-33
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Outline

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Phys. Rev. D 4, 1787– Published 15 September, 1971
  • Received 16 June 1971

© 1971 American Physical Society

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