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Two variants of the Nambu--Jona-Lasinio model -- the model with 4-dimensional cutoff and the model with dimensionally-analytical regularization -- are systematically compared. It is shown that they are, in essence, two different models of…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. G. Jafarov , V. E. Rochev

Dynamical Symmetry breaking and meson masses are studied in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential using the dimensional regularization. Since the model is not renormalizable in four space-time…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Inagaki , D. Kimura , A. Kvinikhidze

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…

High Energy Physics - Phenomenology · Physics 2016-05-04 Hiroaki Kohyama , Diji Kimura , Tomohiro Inagaki

The nonet meson properties are studied in the Nambu-Jona-Lasinio model at finite temperature and chemical potential using dimensional regularization. This study leads to the reasonable description which is mainly similar to one obtained in…

High Energy Physics - Phenomenology · Physics 2013-05-30 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

We study the regularization dependence on meson properties and the phase diagram of quark matter by using the two flavor Nambu-Jona-Lasinio model. We find that the meson properties and the phase structure do not show drastically difference…

High Energy Physics - Phenomenology · Physics 2015-01-05 T. Inagaki , D. Kimura , H. Kohyama

The method of differential regularization is applied to calculate explicitly the one-loop effective potential of a bosonized Nambu--Jona-Lasinio model consisting of scalar and pseudoscalar fields. The regularization scheme independent…

High Energy Physics - Theory · Physics 2016-09-06 Yaw-Hwang Chen , Su-Long Nyeo

The Nambu--Jona-Lasinio model is investigated in the $1/N_c$ expansion with the dimensional regularization. At the four-dimensional limit the meson propagators have simple forms in the leading order of the $1/N_c$ expansion. Thus the next…

High Energy Physics - Phenomenology · Physics 2015-06-18 T. Inagaki , D. Kimura , H. Kohyama

Based on the Cornwall-Jackiw-Tomboulis effective potential, we extensively study nonperturbative renormalization of the gauged Nambu-Jona-Lasinio model in the ladder approximation with standing gauge coupling. Although the pure…

High Energy Physics - Phenomenology · Physics 2017-02-01 Kei-ichi Kondo , Masaharu Tanabashi , Koichi Yamawaki

We investigate the phase diagram on temperature-chemical potential plane in the Nambu-Jona-Lasinio model with the dimensional regularization. While the structure of the resulting diagram shows resemblance to the one in the frequently used…

High Energy Physics - Phenomenology · Physics 2015-06-04 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

The Nambu--Jona-Lasinio model is widely used to study strong-interaction phenomena in vacuum and quark matter. Since the model is nonrenormalizable, one needs to work within a specific regularization scheme to obtain finite results. Here we…

High Energy Physics - Phenomenology · Physics 2023-06-13 Arthur E. B. Pasqualotto , Ricardo L. S. Farias , William R. Tavares , Sidney S. Avancini , Gastão Krein

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.…

High Energy Physics - Phenomenology · Physics 2011-02-18 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

Traditional cutoff regularization schemes of the Nambu--Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. L. S. Farias , G. Dallabona , G. Krein , O. A. Battistel

We study the regularization dependence of the Nambu-Jona--Lasinio model (NJL) predictions for some properties of magnetized quark matter at zero temperature (and baryonic density) in the mean field approximation. The model parameter…

High Energy Physics - Phenomenology · Physics 2019-07-22 Sidney S. Avancini , Ricardo L. S. Farias , Norberto N. Scoccola , William R. Tavares

A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu--Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step…

High Energy Physics - Theory · Physics 2008-11-26 O. A. Battistel , G. Dallabona , G. Krein

We study the 2-flavor Nambu--Jona-Lasinio (NJL) model at finite temperature, $T$, and chemical potential, $\mu$, in the dimensional regularization. The pion and sigma meson masses are calculated at finite $T$ and $\mu$. The color…

High Energy Physics - Phenomenology · Physics 2009-01-14 T. Fujihara , T. Inagaki , D. Kimura , A. Kvinikhidze

This work investigates the phase structure of the non-renormalizable (3+1)-dimensional Nambu-Jona-Lasinio (NJL) model with particular focus on inhomogeneous phases (IPs), where the chiral condensate is non-uniform in space, and the closely…

High Energy Physics - Phenomenology · Physics 2024-10-28 Laurin Pannullo , Marc Wagner , Marc Winstel

We investigate the influence of the allowed unphysical meson decay into a quark-antiquark pair of the three flavour Nambu--Jona-Lasinio (NJL) model on its parameter fixing. This decay manifests in a non-vanishing imaginary part of the…

High Energy Physics - Phenomenology · Physics 2022-01-27 Dominic Kraatz , Michel Stillger

We investigate a lattice Nambu--Jona-Lasinio model both by the Monte Carlo method and Schwinger-Dyson equations. A comparison allows the discussion of finite size effects and the extrapolation to infinite volume. We pay special attention to…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stueben

We investigate color superconducting phase at high density in the extended Nambu--Jona-Lasinio model for the two flavor quarks. Because of the non-renormalizability of the model, physical observables may depend on the regularization…

High Energy Physics - Phenomenology · Physics 2010-04-21 T. Fujihara , D. Kimura , T. Inagaki , A. Kvinikhidze

We study the Nambu--Jona-Lasinio model at finite temperature and finite density by using the functional renormalization group. The RG flows of the four-fermi coupling constant in the NJL model are investigated. We obtain the chiral phase…

High Energy Physics - Phenomenology · Physics 2015-10-05 Ken-Ichi Aoki , Masatoshi Yamada
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