The parity-preserving massive QED3: vanishing beta-function and no parity anomaly

TL;DR

This paper proves that parity-preserving massive QED3 maintains a vanishing beta-function and is free of parity and infrared anomalies at all perturbative orders, using algebraic renormalization.

Contribution

It demonstrates the absence of a parity anomaly in massive QED3 through a regularization-independent algebraic renormalization approach.

Findings

Beta-function of gauge coupling vanishes at all orders

QED3 remains parity and infrared anomaly free

No perturbative parity breakdown occurs

Abstract

The parity-preserving massive QED3 exhibits vanishing gauge coupling beta-function and is parity and infrared anomaly free at all orders in perturbation theory. Parity is not an anomalous symmetry, even for the parity-preserving massive QED3, in spite of some claims about the possibility of a perturbative parity breakdown, called parity anomaly. The proof is done by using the algebraic renormalization method, which is independent of any regularization scheme, based on general theorems of perturbative quantum field theory.