Current Algebra and Bosonization in Three Dimensions

We consider the fermion-boson mapping in three dimensional space-time, in the Abelian case, from the current algebra point of view. We show that in a path-integral framework one can derive a general bosonization recipe leading, in the bosonic language, to the correct equal-time current commutators of the original free fermionic theory. Also at Universit e de Savoie and at Institut Universitaire de France Investigador CICBA, Argentina On leave from Universidad Nacional de La Plata, Argentina URA 1436 du CNRS associ ee a l'Ecole Normale Sup erieure de Lyon et latex cour a l'Universit e de Savoie