Chiral Thirring-Wess Model

TL;DR

This paper introduces a chiral version of the Thirring-Wess model, demonstrating it remains exactly solvable and unitary without ambiguity parameters, and analyzing its phase space and spectrum.

Contribution

It shows that the chiral Thirring-Wess model is solvable and unitary without ambiguity parameters, unlike previous formulations.

Findings

Model remains exactly solvable without ambiguity parameters.

Model preserves unitarity, avoiding issues like the chiral Schwinger model.

Spectrum includes a massive and a massless boson.

Abstract

The vector type of interaction of the Thirring-Wess model was replaced by the chiral type and a new model was presented which was termed as chiral Thirring-Wess model in \cite{THAR}. The model was studied there with a Faddeevian class of regularization. Few ambiguity parameters were allowed there with the apprehension that unitarity might be threatened like the chiral generation of the Schwinger model. In the present work it has been shown that no counter term containing the regularization ambiguity is needed for this model to be physically sensible. So the chiral Thirring-Wess model is studied here without the presence of any ambiguity parameter and it has been found that the model not only remains exactly solvable but also does not lose the unitarity like the chiral generation of the Schwinger model. The phase space structure and the theoretical spectrum of this new model have been determined in the present scenario. The theoretical spectrum is found to contain a massive boson with ambiguity free mass and a massless boson.