Strongly Coupled QED

Abstract

A short review of some of the most relevant contributions to non-perturbative QED is done. Since a Gaussian behaviour of QED à la $\lambda {\varphi }^4$ has been ruled out by the numerical data, I analyse the other two most reliable scenarios, i.e. triviality à la Nambu-Jona Lasinio and non-Gaussian critical behaviour. I give a suggestive theoretical argument against a Gaussian behaviour of QED à la Nambu-Jona Lasinio, and show how the numerical data for the susceptibility at the critical point of QED support this result.

Comments: Plenary talk given at the International Symposium on Lattice Field Theory, 4-8 June 1996, St. Louis, Missouri, USA, 19 pages, latex, three Postscript figures and two tables