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We consider a two-flavor Nambu \& Jona-Lasinio model in Hartree approximation involving scalar-isoscalar and pseudoscalar-isovector quark-quark interactions. Average meson fields are defined by minimizing the effective Euklidean action. The…

Nuclear Theory · Physics 2015-06-26 R. Wuensch , K. Goeke , Th. Meissner

The vacuum contribution to quark matter under a uniform magnetic field within the SU(3) version of the Nambu and Jona-Lasinio model is studied. The standard regularization procedure is examined and a new prescription is proposed. For this…

High Energy Physics - Phenomenology · Physics 2020-12-30 R. M. Aguirre

We investigate the phase diagram of the so-called Polyakov--Nambu--Jona-Lasinio model at finite temperature and nonzero chemical potential with three quark flavours. Chiral and deconfinement phase transitions are discussed, and the relevant…

High Energy Physics - Phenomenology · Physics 2011-06-22 C. A. de Sousa , Pedro Costa , M. C. Ruivo , H. Hansen

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

We use the three-flavor Nambu--Jona-Lasinio model, which includes strangeness and quark physical masses in the mean field approximation, to investigate the influence of strong magnetic fields on the QCD phase diagram covering the whole…

High Energy Physics - Phenomenology · Physics 2015-06-04 Sidney S. Avancini , Débora P. Menezes , Marcus B. Pinto , Constança Providência

The Nambu--Jona-Lasinio (NJL) model is one of the most useful tools to study non-perturbative strong interaction matter. Because it is a nonrenormalizable model, the choosing of regularization is a subtle issue. In this paper, we discuss…

High Energy Physics - Phenomenology · Physics 2022-01-26 Kai Xue , Xiaozhu Yu , Xinyang Wang

We study the phase diagram in the $T-\mu$ plane for quark matter under the influence of a strong uniform magnetic field $\vec{B}$, in the framework of a non-local extension of the two-flavor Polyakov Nambu-Jona-Lasinio model. We analyze the…

High Energy Physics - Phenomenology · Physics 2023-04-05 J. P. Carlomagno , S. A. Ferraris , D. Gómez Dumm , A. G. Grunfeld

We investigate the phase diagram of the so-called Polyakov--Nambu--Jona-Lasinio model at finite temperature and nonzero chemical potential with three quark flavors. Chiral and deconfinement phase transitions are discussed, and the relevant…

High Energy Physics - Phenomenology · Physics 2015-08-10 Pedro Costa , C. A. de Sousa , M. C. Ruivo , H. Hansen

In this thesis work we have employed two microscopic models (ladder-QCD and Nambu-Jona-Lasinio) for describing the properties of the QCD phase diagram at finite temperature and quark densities. In particular, we have studied the mechanism…

High Energy Physics - Phenomenology · Physics 2009-09-29 Lorenzo Ravagli

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

Elastic electromagnetic form factors for the $\rho^+$ meson are calculated in a Nambu--Jona-Lasinio model which incorporates quark confinement through the use of the proper-time regularization scheme. A comparison is made with recent…

Nuclear Theory · Physics 2015-07-29 Manuel E. Carrillo-Serrano , Wolfgang Bentz , Ian C. Cloët , Anthony W. Thomas

In the SU(3) Nambu-Jona-Lasinio (NJL) model of a thermally magnetized medium, the regularization methods adopted for the thermodynamic potential and the mass gap equation are utilized to calculate the relevant thermodynamic quantities in…

Nuclear Theory · Physics 2025-06-05 Xiang-Qiong Liu

Nambu-Jona-Lasinio-type models are frequently employed as low-energy models in various research fields. With respect to the theory of the strong interaction, this class of models is indeed often used to analyze the structure of the phase…

High Energy Physics - Phenomenology · Physics 2018-01-26 Jens Braun , Marc Leonhardt , Martin Pospiech

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

We study the soft mode along the critical line in the phase diagram with the tricritical point, using the Nambu--Jona-Lasinio model. At the critical point with finite quark mass, the ordering density becomes a linear combination of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Fujii , M. Ohtani

We study the chiral phase transition in the presence of the chiral chemical potential $\mu_5$ using the two-flavor Nambu--Jona-Lasinio model. In particular, we analyze the reason why one can obtain two opposite behaviors of the chiral…

High Energy Physics - Phenomenology · Physics 2016-07-27 Lang Yu , Hao Liu , Mei Huang

Nambu-Jona-Lasinio-type models are often employed as low-energy models for the theory of the strong interaction to analyze its phase structure at finite temperature and quark chemical potential. In particular at low temperature and large…

High Energy Physics - Phenomenology · Physics 2018-05-02 Jens Braun , Marc Leonhardt , Martin Pospiech

We develop a new approach for sketching the quantum chromodynamics phase-diagram within the Nambu--Jona-Lasinio model for arbitrarily large values of the coupling constant, temperature and chemical potential based upon the strategy of…

High Energy Physics - Phenomenology · Physics 2019-09-30 Angelo Martínez , Alfredo Raya

We consider the two flavor version of the Linear Sigma Model as well as of the Nambu Jona-Lasinio model, at finite temperature and quark chemical potential, beyond the Mean Field Approximation. Using parameter values for the pion and quark…

Nuclear Theory · Physics 2010-12-23 Lorenzo Ferroni , Volker Koch , Marcus B. Pinto