Fermion operator solution of the minimal chiral Schwinger model.

Abstract

Making use of chiral bosonization, we obtain a fermionic operator solution of the minimal chiral Schwinger model (where the right-handed fermion is absent) and study its physical content in a manifestly covariant operator formalism. We find a free chiral fermion and a free massive scalar as physical asymptotic fields. The existence of a physical asymptotic free chiral fermion distinguishes the chiral Schwinger model from the (vector) Schwinger model and implies that the fermion is not confined. We reconsider the usual chiral Schwinger model and compare it with the minimal one. They are completely consistent.