THE MAXWELL-DIRAC EQUATIONS - ASYMPTOTIC COMPLETENESS AND THE INFRARED PROBLEM

In this article we present an announcement of results concerning: a) A solution to the Cauchy problem for the M-D equations, namely global e xistence, for small initial data at t = 0, of solutions for the M-D eq uations. b) Arguments from which asymptotic completeness for the M-D e quations follows.c) Cohomological interpretation of the results in the spirit of nonlinear representation theory and its connection to the i nfrared tail of the electron in M-D classical field theory. The full d etailed results will be published elsewhere.