6533b823fe1ef96bd127f48f

RESEARCH PRODUCT

THE MAXWELL–DIRAC EQUATIONS: ASYMPTOTIC COMPLETENESS AND THE INFRARED PROBLEM

Erik TaflinMoshé FlatoJacques Simon

subject

Nonlinear systemCompleteness (order theory)Mathematical analysisDirac (software)Initial value problemClassical field theoryStatistical and Nonlinear PhysicsRepresentation theoryMathematical PhysicsMathematicsInterpretation (model theory)Mathematical physicsConnection (mathematics)

description

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

yearjournalcountryeditionlanguage
1994-01-01Reviews in Mathematical Physics
https://doi.org/10.1142/s0129055x94000365