We show that the gauge-fermion interaction in multiflavor (2 + 1)-dime
nsional quantum electrodynamics with a finite infrared cutoff is respo
nsible for non-Fermi-liquid behavior in the infrared, in the sense of
leading to the existence of a nontrivial fixed point at zero momentum,
as well as to a significant slowing down of the running of the coupli
ng at intermediate scales as compared with previous analyses on the su
bject. Both these Features constitute deviations from Fermi-liquid the
ory. Our discussion is based on the leading-1/N resummed solution for
the wave-function renormalization of the Schwinger-Dyson equations. Th
e present work completes and confirms the expectations of an earlier w
ork by two of the authors (I.J.R.A. and N.E.M.) on the nontrivial infr
ared structure of the theory.