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Light-cone regular vertex in three-dimensional quenched QED.

We study a model Schwinger-Dyson equation in three dimensions based on three-dimensional QED in the confining quenched approximation. We employ an ansatz for the dressed photon-fermion vertex function that does not have a singularity on the light cone. Our ansatz also allows us to study the relationship between the transverse part of the vertex and gauge independence of {l angle}{bar {psi}}{psi}{r angle}. We find that the transverse part of the vertex is crucial to obtaining {l angle}{bar {psi}}{psi}{r angle} independent of the gauge parameter. It modifies both the infrared and ultraviolet behavior of the fermion propagator without upsetting the 1/{ital p}{sup 2} behavior expected of the mass function at large spacelike {ital p}{sup 2}.