A comment on bosonization in $d \geq 2$ dimensions

TL;DR

This paper provides a straightforward derivation of bosonization in dimensions two and higher, analyzing symmetries and current bosonization in both abelian and non-abelian cases.

Contribution

It offers a simple derivation of bosonization in higher dimensions and examines symmetry properties and current bosonization methods.

Findings

Derived bosonic representations for free fermionic models in higher dimensions

Analyzed symmetry considerations in bosonized models

Outlined recipes for bosonization of fermion currents

Abstract

We discuss recent results on bosonization in $d \geq 2$ space-time dimensions by giving a very simple derivation for the bosonic representation of the original free fermionic model both in the abelian and non-abelian cases. We carefully analyse the issue of symmetries in the resulting bosonic model as well as the recipes for bosonization of fermion currents