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Quantum Electrodynamics and Renormalization Theory in the Infinite-Momentum Frame

Stanley J. Brodsky

Ralph Roskies*,†

Roberto Suaya‡

  • Stanford Linear Accelerator Center, Stanford, California 94305

  • Yale University, New Haven, Connecticut 06520

  • Stanford Linear Accelerator Center, Stanford, California 94305

  • *Present address: University of Pittsburgh, Pittsburgh, Pennsylvania 15260.
  • †Supported in part by the U. S. Atomic Energy Commission under Contract AT(11-1)-3075.
  • ‡Present address: University of Buenos Aires, Argentina. Address after August 1: University of Illinois, Urbana, Illinois.
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Phys. Rev. D 8, 4574 – Published 15 December, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.4574

Abstract

Time-ordered perturbation theory evaluated in the infinite-momentum reference frame of Weinberg is shown to be a viable calculational alternative to the usual Feynman graph procedure for quantum electrodynamics. We derive the rules of calculation at infinite momentum, and introduce a convenient method for automatically including z graphs (backward-moving fermion contributions). We then develop techniques for implementing renormalization theory, and apply these to various examples. We show that the P→∞ limit is uniform for calculating renormalized amplitudes, but this is not true in evaluating the renormalization constants themselves. Our rules are then applied to calculate the electron anomalous moment through fourth order and a representative diagram in sixth order. It is shown that our techniques are competitive with the normal Feynman approach in practical calculations. Some implications of our results and connections with the light-cone quantization are discussed.

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Outline

Information

Phys. Rev. D 8, 4574– Published 15 December, 1973
  • Received 30 July 1973

© 1973 American Physical Society

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