On three dimensional bosonization

TL;DR

This paper develops a systematic path-integral approach to three-dimensional bosonization, enabling the representation of fermionic systems with bosonic vector fields for both Abelian and non-Abelian cases.

Contribution

It introduces a unified method for constructing bosonic actions and fermion current bosonization recipes in three dimensions, covering Abelian and non-Abelian theories.

Findings

Systematic construction of bosonic actions for 3D bosonization.

Unified framework for Abelian and non-Abelian bosonization.

Explicit bosonization recipes for fermion currents.

Abstract

We discuss Abelian and non-Abelian three dimensional bosonization within the path-integral framework. We present a systematic approach leading to the construction of the bosonic action which, together with the bosonization recipe for fermion currents, describes the original fermion system in terms of vector bosons.