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

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.

11 pages, 9 figures

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• Nonet meson properties in Nambu-Jona-Lasinio model with dimensional regularization at finite temperature and chemical potential
• Regularization parameter independent analysis in Nambu-Jona-Lasinio model
• Schwinger - Dyson equation and NJL approximation in massive gauge theory with fermions
• Next to leading order calculation with dimensional regularization in Nambu--Jona-Lasinio Model
• Modified model of top quark condensation
• Range of topological fluctuations in the three-flavor linear sigma model