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, , 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