A new approach for bosonization of massive Thirring model in three dimensions

We develop a new approach for bosonization in the quadratic approximation which is based on the direct comparison of current correlation functions. This is applied 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. 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.