Bosonisation Excercise in Three Dimensions: Gauged Massive Thirring Model

TL;DR

This paper explores bosonisation of the gauged massive Thirring model in 2+1 dimensions, providing exact solutions in certain cases and explicit bosonic current expressions, advancing understanding of non-abelian gauge theories.

Contribution

It presents the first complete solution of the static abelian model in the large fermion mass limit and offers explicit bosonic current expressions for both abelian and non-abelian cases.

Findings

Complete solution for the static abelian model in large mass limit

Explicit bosonic current expressions derived

Partial solutions for non-abelian gauge fields

Abstract

Bosonisation of the massive Thirring model, with a non-minimal and non-abelian gauging is studied in 2+1-dimensions. The static abelian model is solved completely in the large fermion mass limit and the spectrum is obtained. The non-abelian model is solved for a restricted class of gauge fields. In both cases explicit expressions for bosonic currents corresponding to the fermion currents are given.