Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization

TL;DR

This paper compares how dimensional and cutoff regularizations affect nonet meson properties in the NJL model with three flavors, highlighting regularization dependence and model applicability.

Contribution

It systematically analyzes the impact of two regularization schemes on meson properties within the NJL model including the KMT term.

Findings

Regularization choice significantly influences meson mass predictions.

The model's parameters are tuned phenomenologically for each regularization.

Results highlight the applicability limits of the NJL model with different regularizations.

Abstract

Nambu--Jona-Lasinio (NJL) model with Kobayashi-Maskawa-'t Hooft (KMT) term is one of low energy effective theory of QCD which includes the $U_A(1)$ anomaly. We investigate nonet meson properties in this model with three flavors of quarks. We employ two type of regularizations the dimensional and sharp cutoff ones. The model parameters are fixed phenomenologically for each regularization. Evaluating the kaon decay constant, the $\eta$ meson mass and the topological susceptibility, we show the regularization dependence of the results and discuss the applicability of the NJL model.