Determination of the propagator in QED3 by spectral function

TL;DR

This paper investigates the infrared behavior of the propagator in QED3 using spectral functions, highlighting the role of spectral function exponentiation and the independence of anomalous dimension from N in the 1/N approximation.

Contribution

It demonstrates the effectiveness of spectral function exponentiation in super renormalizable theories and explores the N-independence of anomalous dimension in QED3.

Findings

Spectral function exponentiation aids in understanding infrared behavior.

Anomalous dimension in 1/N approximation is N-independent.

Implications for confinement and pair condensation in QED3.

Abstract

To study the infrared behaviour of the propagator, exponentiation of the lowest order spectral function has been known.We show this method is helpful in super renormalizable theory with dimension-full coupling constant.In the 1/N approximation anomalous dimension is independent of $N$,which plays an important role for confinement and pair condensation.