A New Approach for Bosonization of Massive Thirring Model in Three Dimensions

TL;DR

This paper introduces a novel bosonization method for the three-dimensional Massive Thirring Model, deriving explicit bosonic forms of the Lagrangian and currents, applicable in weak coupling and arbitrary mass regimes.

Contribution

It presents a new bosonization approach based on current correlation functions, extending bosonization techniques to three dimensions with explicit formulations.

Findings

Explicit bosonized Lagrangian and current expressions

Exact results for free massive fermions

Applicability in weak coupling regime with arbitrary mass

Abstract

We develop a new approach for bosonization based on the direct comparison of current correlation functions and apply it to the case of the Massive Thirring Model in three dimensions in the weak coupling regime, but with an arbitrary mass. Explicit bosonized forms for the lagrangian and the current are obtained in terms of a vector gauge field. Exact results for the corresponding expressions are also obtained in the case of a free massive fermion. Finally, a comment on the derivation of the current algebra directly from the bosonized expressions is included.