We show that the gauge-fermion interaction in multiflavor (2 + 1)-dimensional quantum electrodynamics with a finite infrared cutoff is responsible 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 coupling at intermediate scales as compared with previous analyses on the subject. Both these Features constitute deviations from Fermi-liquid theory. Our discussion is based on the leading-1/N resummed solution for the wave-function renormalization of the Schwinger-Dyson equations. The present work completes and confirms the expectations of an earlier work by two of the authors (I.J.R.A. and N.E.M.) on the nontrivial infrared structure of the theory.
Nontrivial infrared structure in (2+1)-dimensional quantum electrodynamics / I. J. R., Aitchison; AMELINO-CAMELIA, Giovanni; M., Klein Kreisler; N. E., Mavromatos; D., Mcneill. - In: PHYSICAL REVIEW. B, CONDENSED MATTER. - ISSN 0163-1829. - 56:5(1997), pp. 2836-2842.