School of Mathematical and Computer Sciences,
University of New England
Armidale, NSW 2351 Australia

E-mail:  chris@turing.une.edu.au

The Maxwell-Dirac Equations -- Some Non-Perturbative Results

Abstract:
Some recent non-perturbative results for the coupled Maxwell and Dirac equations are examined and some new results reported. These results are focused on properties such as the total charge for an isolated Maxwell-Dirac system and the necessity of magnetic monopoles for the existence of certain solutions.
What sort of systems does the Dirac equation with self-consistent electromagnetic field is describe? Can we build a Maxwell-Dirac model of a single isolated electron? The results presented in this talk will provide an introduction to some possible answers to these questions.