Properties of predictive formulation of the Nambu-Jona-Lasinio model and ghost problem

TL;DR

This paper discusses a predictive formulation of the NJL model, identifies a key singularity issue, and proposes a modification to eliminate the Landau pole while preserving the model's main features.

Contribution

The paper introduces a modified predictive formulation of the NJL model that removes the Landau pole singularity without losing essential characteristics.

Findings

Original formulation has a non-physical Landau pole.

Proposed modification successfully removes the Landau pole.

Main features of the original approach are conserved.

Abstract

Recently proposed by Battistel et al. "predictive formulation of the NJL model" is discussed and its connection with the differential regularization is noted. The principal problem of this formulation is a non-physical singularity (Landau pole) in meson propagators. A modification of the formulation, which is free of the Landau pole and conserves main features of the approach, is proposed.