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

2016/01/11 by Hiroaki Kohyama, Daiji Kimura, Diji Kimura +1
Chemistry · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Chemistry #Fermion #Flavor #Food science #Mathematical physics #Mathematics #Nambu–Jona-Lasinio model #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2016.03.015

22 pages, 10 figures

arxiv created 2016/01/11 · openalex publication_date 2016/03/17 · arxiv updated 2016/05/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations