2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/47992We study the dimensionally regularized fermion propagator Dyson-Schwinger equation in quenched nonperturbative QED in an arbitrary covariant gauge using the Curtis-Pennington vertex and perform nonperturbative renormalization numerically. The nonperturbative fermion propagator is solved in D=4-2*epsilon < 4 dimensional Euclidean space for a large number of values of epsilon for two values of the coupling, alpha=0.6 and alpha=1.5. Results for D=4 are then obtained by extrapolation to epsilon=0. We compare these results against previous studies employing a modified ultraviolet cut-off regularization and find agreement to within the numerical precision of the present calculations.9 pages including 4 .eps files comprising 2 figures; uses sprocl.sty. To appear in the proceedings of the Workshop on Methods in Nonperturbative Field Theory, Adelaide, Australia, February 1998High Energy Physics - PhenomenologyHigh Energy Physics - Theorytext