Infrared and vacuum structure in two-dimensional models of local quantum field theory. II. Fermion bosonization

Abstract

A new general treatment of fermion bosonization in two-dimensional quantum field theory is presented. The main feature is that the bosonization is completely achieved in terms of a single massless scalar field in two dimensions without the introduction of ad hoc selection rules and/or spurion operators. This is made possible by the exploitation of the infrared operators associated to the algebra of the massless scalar field. Fermionic charges, chiral charges, fermionic symmetries, θ angles, etc. are shown to follow naturally from charges and symmetries of the scalar field. As an application, the massless Thirring model is discussed.