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

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

1996-07-25

arxiv.org/abs/hep-th/9607192v1

Phys.Rev.B56:2836-2842,1997

Physics

High Energy Physics

High Energy Physics - Theory

10 pages (LaTex), 5 figures (Postscript)

Scientific paper

10.1103/PhysRevB.56.2836

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.

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