Algebraic Renormalization of Parity-Preserving QED_3 Coupled to Scalar Matter II: Broken Case

TL;DR

This paper applies algebraic renormalization to parity-preserving QED_3 coupled with scalar matter in the broken phase, demonstrating its stability and anomaly freedom without relying on regularization schemes.

Contribution

It extends algebraic renormalization techniques to a broken phase of QED_3 with scalar matter, showing the model's stability and anomaly freedom.

Findings

Model is stable under radiative corrections

The theory is free of anomalies

Algebraic renormalization is effective in the broken phase

Abstract

In this letter the algebraic renormalization method, which is independent of any kind of regularization scheme, is presented for the parity-preserving QED_3 coupled to scalar matter in the broken regime, where the scalar assumes a finite vacuum expectation value, $<\vf> = v$. The model shows to be stable under radiative corrections and anomaly free.