The Thirring–Wess model revisited: a functional integral approach

Abstract

We consider the Wess–Zumino–Witten theory to obtain the functional integral bosonization of the Thirring–Wess model with an arbitrary regularization parameter. Proceeding a systematic of decomposing the Bose field algebra into gauge-invariant- and gauge-non-invariant field subalgebras, we obtain the local decoupled quantum action. The generalized operator solutions for the equations of motion are reconstructed from the functional integral formalism. The isomorphism between the QED 2 ( QCD 2) with broken gauge symmetry by a regularization prescription and the Abelian (non-Abelian) Thirring–Wess model with a fixed bare mass for the meson field is established.