Parameter fitting in three-flavor Nambu--Jona-Lasinio model with various regularizations

Abstract

We study the three-flavor Nambu--Jona-Lasinio model with various regularization procedures. We perform parameter fitting in each regularization and apply the obtained parameter sets to evaluate various physical quantities, several light meson masses, decay constant and the topological susceptibility. The model parameters are adopted even at very high cutoff scale compare to the hadronic scale to study the asymptotic behavior of the model. It is found that all the regularization methods except for the dimensional one actually lead reliable physical predictions for the kaon decay constant, sigma meson mass and topological susceptibility without restricting the ultra-violet cutoff below the hadronic scale.

22 pages, 10 figures

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• Spin Polarization and Anomalous Magnetic Moment in a (2 + 1)-flavor Nambu-Jona-Lasinio model in a thermomagnetic background
• Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
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• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Super-Strong Coupling NJL model in arbitrary space-time dimensions
• U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Study of hybrid stars with nonstrange quark matter cores
• Spin Polarization and Chiral Condensation in 2+1 flavor Nambu-Jona-Lasinio model at finite temperature and baryon chemical potential
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization