Non-trivial Infrared Structure in (2+1)-Dimensional Quantum Electrodynamics and Non-Fermi Liquid Behaviour

TL;DR

This paper reviews the infrared properties of (2+1)D Abelian gauge theories, revealing a non-trivial fixed point that explains non-Fermi liquid behavior and may shed light on high-temperature superconductor phases.

Contribution

It demonstrates the existence of a non-trivial infrared fixed point in (2+1)D gauge theories using a large-N Schwinger-Dyson approach with an infrared cutoff.

Findings

Identification of a non-trivial infrared fixed point.

Connection to non-Fermi liquid low-energy behavior.

Potential implications for high-temperature superconductor phases.

Abstract

I review recent work on the infrared structure of (2+1)-dimensional Abelian gauge theories and their application to condensed matter physics. In particular, within a large-N Schwinger-Dyson treatment, and including an `infrared momentum cut-off', I demonstrate the existence of a non-trivial infrared fixed point of the renormalization group. I connect this property to non-fermi liquid low-energy behaviour, and I attempt to draw some conclusions about the possible application of this approach to an understanding of the normal and superconducting phases of planar high-temperature superconducting cuprates.