Dimensional reduction of four-dimensional topologically massive gauge theory

TL;DR

This paper explores the dimensional reduction of four-dimensional topologically massive gauge theories to three dimensions, revealing connections to Jackiw-Pi models of massive gauge fields.

Contribution

It demonstrates how specific gauge choices lead to three-dimensional Jackiw-Pi models from four-dimensional topologically massive theories.

Findings

Reduced theories match Jackiw-Pi models

Identification of gauge choices that facilitate reduction

Insight into mass generation mechanisms in lower dimensions

Abstract

We study topologically massive (B \wedge F) Abelian and non-Abelian gauge theories in four dimensions, and reduce them to three dimensions by assuming that the fields do not propagate in one of the spatial directions. For certain gauge choices the reduced theories are the Jackiw-Pi models of massive gauge fields.