Anomalous dimensions and ghost decoupling in a perturbative approach to the generalized chiral Schwinger model

TL;DR

This paper investigates a generalized chiral Schwinger model using perturbative methods, deriving explicit propagators, addressing regularization ambiguities, and analyzing spectrum behavior and ultraviolet/infrared properties.

Contribution

It provides explicit perturbative expressions for propagators and a consistent approach to regularization ambiguities in the model.

Findings

Explicit bosonic and fermionic propagators derived

A consistent regularization recipe proposed

Spectrum behavior analyzed with respect to parameters

Abstract

A generalized chiral Schwinger model is studied by means of perturbative techniques. Explicit expressions are obtained, both for bosonic and fermionic propagators, and compared to the ones derived by means of functional techniques. In particular a consistent recipe is proposed to describe the ambiguity occurring in the regularization of the fermionic determinant. The role of the gauge fixing term, which is needed to develop perturbation theory and the behaviour of the spectrum as a function of the parameters are clarified together with ultraviolet and infrared properties of the model.