New aspects of quantization of Jackiw-Pi model: field-antifield formalism and noncommutativity

TL;DR

This paper explores the quantum properties of the Jackiw-Pi model by applying noncommutative geometry and Batalin-Vilkovisky quantization, revealing new features at the Planck scale.

Contribution

It introduces a noncommutative spacetime version of the Jackiw-Pi model and provides its BV quantization, highlighting novel objects arising from noncommutativity.

Findings

Constructed the noncommutative JP spacetime model

Performed BV quantization of the commutative JP model

Identified new objects due to noncommutativity at Planck scale

Abstract

The so-called Jackiw-Pi (JP) model for massive vector fields is a three dimensional, gauge invariant and parity preserving model which was discussed in several contexts. In this paper we have discussed its quantum aspects through the introduction of Planck scale objects, i.e., via noncommutativity and the well known BV quantization. Namely, we have constructed the JP noncommutative spacetime version and we have provided the BV quantization of the commutative JP model and we have discussed its features. The noncommutativity has introduced interesting new objects in JP's Planck scale framework.