The Jackiw-Pi model: classical theory

TL;DR

This paper analyzes the classical properties, symmetries, and potential quantum features of the Jackiw-Pi model, a non-Abelian gauge theory in three dimensions, focusing on propagators, spectrum, and invariance structures.

Contribution

It provides a detailed tree-level analysis of the Jackiw-Pi model, including propagators, symmetries, and a framework for perturbative quantization and potential quantum scale invariance.

Findings

Propagators computed and spectrum analyzed.

Identified BRS invariance and Ward identities.

Suggested path for perturbative quantization and quantum scale invariance.

Abstract

The massive even-parity non-Abelian gauge model in three space-time dimensions proposed by Jackiw and Pi is studied at the tree-level. The propagators are computed and the spectrum consistency is analyzed, besides, the symmetries of the model are collected and established through BRS invariance and Slavnov-Taylor identity. In the Landau gauge, thanks to the antighost equations and the Slavnov-Taylor identity, two rigid symmetries are identified by means of Ward identities. It is presented here a promising path for perturbatively quantization of the Jackiw-Pi model and a hint concerning its possible quantum scale invariance is also pointed out.