Chiral Thirring-Wess model with Faddeevian Regularization

TL;DR

This paper introduces a chiral version of the Thirring-Wess model with Faddeevian regularization, demonstrating how to maintain Lorentz invariance through ambiguity parameter tuning and analyzing its phase space and spectrum.

Contribution

It presents a novel chiral Thirring-Wess model with Faddeevian regularization and shows how to preserve Lorentz invariance via ambiguity parameter adjustments.

Findings

Model falls into Faddeevian class with broken Lorentz invariance.

Ambiguity parameters can be tuned to restore Lorentz invariance.

Phase space and spectrum are derived using Dirac's quantization method.

Abstract

Replacing vector type of interaction of the Thirring-Wess model by the chiral type a new model is presented which is termed here as chiral Thirring-Wess model. Ambiguity parameters of regularization is so chosen that the model falls into the Faddeevian class. The resulting Faddeevian class of model in general do not possess Lorentz invariance. However we can exploit the arbitrariness admissible in the ambiguity parameters to relate the quantum mechanically generated ambiguity parameters with the classical parameter involved in the masslike term of the gauge field which helps to maintain physical Lorentz invariance instead of the absence of manifestly lorentz covariance of the model. The the phase space structure and the theoretical spectrum of this class of model has been determined through Dirac's method of quantization of constraint system.