Approximations to the QED fermion Green’s function in a constant external field

S. K. J. Daniel and B. H. J. McKellar
Phys. Rev. D 67, 033004 – Published 27 February 2003

Abstract

An exact representation of the causal QED fermion Green’s function, in an arbritrary external electromagnetic field, derived in Fried, Gabellini, and McKellar, and which naturally allows for nonperturbative approximations, is here used to calculate nonperturbative approximations to the Green’s function in the simple case of a constant external field. Schwinger’s famous exact result is obtained as the limit as the order of the approximation approaches infinity.

  • Received 17 October 2002

DOI:https://doi.org/10.1103/PhysRevD.67.033004

©2003 American Physical Society

Authors & Affiliations

S. K. J. Daniel and B. H. J. McKellar

  • School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

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Vol. 67, Iss. 3 — 1 February 2003

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