Non-trivial Infrared Structure in (2+1)-dimensional Quantum Electrodynamics

Abstract

We show that the gauge-fermion interaction in multiflavour $(2+1)$-dimensional quantum electrodynamics with a finite infrared cut-off is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial 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 non-trivial infrared structure of the theory.

10 pages (LaTex), 5 figures (Postscript)

References in corpus (2)

• Deviations from Fermi-Liquid behaviour in (2+1)-dimensional Quantum Electrodynamics and the normal phase of high-$T_c$ Superconductors
• Effect of Wavefunction Renormalisation in N-Flavour Qed3 at Finite Temperature

Cited by in corpus (7)

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• Non-linear Dynamics in QED_3 and Non-trivial Infrared Structure
• Nodal Liquids in Extended t-J Models and Dynamical Supersymmetry
• Running Coupling Constant of a Gauge Theory in the Framework of the Schwinger-Dyson Equation: Infrared Behavior of Three-Dimensional Quantum Electrodynamics
• Gauge Coupling Instability and Dynamical Mass Generation in N=1 Supersymmetric QED(3)
• Phase Structure of lattice SU(2)xU_S(1) three-dimensional Gauge Theory
• On dynamical mass generation in three dimensional supersymmetric U(1) gauge field theory