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This paper investigates the \emph{massive} Maxwell-Dirac system under theLorenz gauge condition in (4+1) dimensional Minkowski space. The focus is onestablishing global existence and scattering results for small solutions on theweighted Sobolev class. The imposition of the Lorenz gauge condition transformsthe Maxwell-Dirac system into a set of Dirac equations coupled with anelectromagnetic potential derived from five quadratic wave equations. Toachieve a comprehensive understanding of the global solution and its behavior,we employ various energy estimates based on the space-time resonance argument.This involves addressing diverse resonance functions arising from the freeDirac and wave propagators. Additionally, we identify the space-time resonantsets associated with the \emph{massive} Maxwell-Dirac system.

Scattering results for the (1+4) dimensional massive Maxwell-Dirac system under Lorenz gauge condition