The Jackiw-Pi model and its symmetries

TL;DR

This paper revisits the Jackiw-Pi non-Abelian gauge model, analyzing its symmetries using BRS invariance and Slavnov-Taylor identities, and discusses its perturbative quantization via algebraic renormalization.

Contribution

It systematically establishes the symmetries of the Jackiw-Pi model and outlines its perturbative quantization method using algebraic renormalization techniques.

Findings

Identified all symmetries of the model

Established BRS invariance and Slavnov-Taylor identities

Outlined the path for perturbative quantization

Abstract

The non-Abelian gauge model proposed by Jackiw and Pi, which generates an even-parity mass term in three space-time dimensions, is revisited in this letter. All the symmetries of the model are collected and established by means of BRS invariance and Slavnov-Taylor identity. The path for the perturbatively quantization of the Jackiw-Pi model, through the algebraic method of renormalization, is presented.