Noncommutative Jackiw-Pi model: One-loop renormalization

TL;DR

This paper investigates the quantum properties and one-loop renormalization of the noncommutative Jackiw-Pi model, establishing its renormalizability and analyzing the behavior of its parameters.

Contribution

It provides the first detailed one-loop renormalization analysis of the noncommutative Jackiw-Pi model, including the computation of corrections to key functions.

Findings

Renormalized mass and gauge coupling are successfully introduced.

One-loop corrections to 1PI functions are computed.

Physical behavior of parameters is discussed.

Abstract

In this paper, we study the quantum behavior of the noncommutative Jackiw-Pi model. After establishing the Becchi-Rouet-Store-Tyutin (BRST) invariant action, the perturbative renormalizability is discussed, allowing us to introduce the renormalized mass and gauge coupling. We then proceed to compute the one-loop correction to the basic 1PI functions, necessary to determine the renormalized parameters (mass and charge), next we discuss the physical behaviour of these parameters.