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We investigate the effect of mesonic fluctuations on the pion propagator in the Nambu-Jona-Lasinio (NJL) model by explicitly taking into account 1/N_c corrections. Because of the non-renormalizability of the model we have to regularize the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Oertel , M. Buballa , J. Wambach

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

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

Nambu-Jona-Lasinio model used to investigate low energy phenomena is nonrenormalizable, therefore the results depend on the regularization parameter in general. A possibility of the finite in four-dimensional limit and even the…

High Energy Physics - Phenomenology · Physics 2015-06-15 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

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

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

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

Due to the presence of light pions in the theory, lattice QCD at finite densities suffers from issues with noise in both grand canonical and canonical formulations. We study two different formulations of the Nambu-Jona-Lasinio model reduced…

High Energy Physics - Lattice · Physics 2015-06-11 Amy N. Nicholson , Dorota Grabowska , David B. Kaplan

The Nambu-Jona-Lasinio model is supplemented by the quark interaction generated by the one-gluon exchange. The employed gluon propagator exhibits the correct large momentum behavior of QCD, whereas the Landau-pole at low energies is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kurt Langfeld , Christiane Kettner , Hugo Reinhardt

The merits and limitations of the Nambu--Jona-Lasinio model as a model for strong interactions at nonzero density are critically discussed. We present several examples, demonstrating that, while in general the results should not be trusted…

High Energy Physics - Phenomenology · Physics 2016-10-17 Michael Buballa

We present initial results of a numerical investigation of the chiral symmetry restoring transition in the (3+1)-dimensional Nambu -- Jona-Lasinio model with both non-zero baryon chemical potential (mu_B) and isospin chemical potential…

High Energy Physics - Lattice · Physics 2009-11-10 David N. Walters , Simon Hands

We revisit the theoretical predictions for anomalous radiative decays of pseudoscalar and vector mesons. Our analysis is performed in the framework of the Nambu-Jona-Lasinio model, introducing adequate parameters to account for the…

High Energy Physics - Phenomenology · Physics 2009-01-07 L. Epele , H. Fanchiotti , D. Gomez Dumm , A. G. Grunfeld

An extended version of the Nambu-Jona-Lasinio (NJL) model is applied to describe both nuclear matter and surface properties of finite nuclei. Several parameter sets are discussed and a comparison of the saturation properties and equation of…

We introduce an asymptotic formula for calculating quantum mechanical and quantum theoretical models with caustics, like the Nambu--Jona-Lasinio(NJL) model. This asymptotic formula is given by the form attached the extra term, which…

Mathematical Physics · Physics 2007-05-23 T. Sakaguchi

The real-time formalism at finite temperature and chemical potential for the nonlocal Nambu--Jona-Lasinio model is developed in the presence of a Gaussian covariant regulator. We construct the most general thermal propagator, by means of…

High Energy Physics - Phenomenology · Physics 2011-05-19 M. Loewe , P. Morales , C. Villavicencio

A regularization for the baryon number consistent with the energy in the Nambu-Jona-Lasinio model is introduced. The soliton solution is constructed with the regularized baryon number constrained to unity. It is furthermore demonstrated…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Schlienz , H. Weigel , H. Reinhardt , R. Alkofer

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

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

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

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
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