Finite, unrenormalized, nonperturbative solution to the Schwinger-Dyson equations of quantum electrodynamics

J. F. Cartier, A. A. Broyles, R. M. Placido, and H. S. Green
Phys. Rev. D 30, 1742 – Published 1 October 1984
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Abstract

An approximate solution to the unrenormalized Schwinger-Dyson equations of quantum electrodynamics is obtained for the vertex amplitude by using combined analytical and numerical techniques. The photon propagator is approximated by its form near the mass shell. The four-point diagram appearing in the vertex equation is related to lower-order diagrams by a generalization of the Ward identity. Under these approximations a functional form for the vertex function, Γλ(p,p+k), was obtained with a range of validity for all momenta extending from very near the mass shell to indefinitely large asymptotic values. No infinities were subtracted to obtain the solution.

  • Received 5 July 1983

DOI:https://doi.org/10.1103/PhysRevD.30.1742

©1984 American Physical Society

Authors & Affiliations

J. F. Cartier*, A. A. Broyles, R. M. Placido, and H. S. Green

  • Department of Physics, University of Florida, Gainesville, Florida 32611

  • *Present address: Texas Research Institute, 9063 Bee Caves Rd., Austin, Texas.
  • Present address: Universidad de Puerto Rico, Departmento de Fisica, Mayaguez, Puerto Rico 00708.
  • Present address: Department of Mathematical Physics, The University of Adelaide, South Australia 5001.

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Issue

Vol. 30, Iss. 8 — 1 October 1984

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