The Thirring-Wess Model Revisited: A Functional Integral Approach

TL;DR

This paper revisits the Thirring-Wess model using a functional integral approach, providing a systematic bosonization method and establishing isomorphisms with gauge theories with broken symmetry.

Contribution

It introduces a systematic decomposition of the Bose field algebra and derives local decoupled quantum actions for the Thirring-Wess model.

Findings

Derived the local decoupled quantum action for the model.

Established isomorphism with gauge theories with broken symmetry.

Reconstructed operator solutions from the functional integral formalism.

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-noninvariant 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 QED2 (QCD2) 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.