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We investigate the influence of an external magnetic field on chiral symmetry breaking in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential. According to the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

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 obtain a q-deformed algebra version of the Nambu-Jona-Lasinio model gap equation. In this framework we discuss some hadronic properties such as the dynamical mass generated for the quarks, the pion decay constant and the phase transition…

Nuclear Theory · Physics 2009-10-31 V. S. Timoteo , C. L. Lima

It is shown that in the Nambu -- Jona - Lasinio model at nonzero chemical potential there are two different massive phases with spontaneously broken chiral symmetry. In one of them particle density is identically zero, in another phase it…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. G. Klimenko , A. S. Vshivtsev

We propose a new theoretical framework to investigate the properties of finite nuclei based on an extended Nambu-Jona-Lasinio (eNJL) model, where the Dirac sea, the spontaneous chiral symmetry breaking, and the quark degrees of freedom are…

Nuclear Theory · Physics 2024-11-12 Cheng-Jun Xia , Yu-Ting Rong , Ting-Ting Sun

We study the fixed point of the three-dimensional NJL model in a double-scaling limit where both the charge $Q$ and the number of fermion flavors $N$ become large with a fixed ratio $q=Q/(2N)$. While a similar analysis has been performed…

High Energy Physics - Theory · Physics 2025-05-29 Jahmall Bersini , Simeon Hellerman , Domenico Orlando , Susanne Reffert

We analyze the thermodynamical properties of a system of strongly interacting particles at vanishing quark chemical potential in the framework of a recently developed extension of the Polyakov-Nambu-Jona-Lasinio Model. In addition to eight…

High Energy Physics - Phenomenology · Physics 2020-01-08 J. Moreira , J. Morais , B. Hiller , A. H. Blin , A. A. Osipov

From the mass term for the transformed quark fields, we obtain effective contact interactions of the NJL type. The parameters of the model that maps a system of non-interacting transformed fields into quarks interacting via NJL contact…

Nuclear Theory · Physics 2015-05-13 V. S. Timoteo , C. L. Lima

We investigate phase structure of the D (> 4)-dimensional gauged Nambu-Jona-Lasinio (NJL) model with $\delta(=D-4)$ extra dimensions compactified on TeV scale, based on the improved ladder Schwinger-Dyson (SD) equation in the bulk. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Valery P. Gusynin , Michio Hashimoto , Masaharu Tanabashi , Koichi Yamawaki

It is shown that the strange quark mass undergoes a first order transition in a generalized 3 flavor Nambu--Jona-Lasinio (NJL) Lagrangian which includes a complete set of explicit chiral symmetry breaking interactions. This transition…

High Energy Physics - Phenomenology · Physics 2014-11-13 J. Morais , J. Moreira , B. Hiller , A. H. Blin , A. A. Osipov

In previous works effective non-local $SU(2)\times SU(2)$ NJL model was derived in the framework of the fundamental QCD. All the parameters of the model are expressed through QCD parameters: current light quark mass $m_0$ and average…

High Energy Physics - Phenomenology · Physics 2010-12-02 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

Binary neutron star mergers and proto-neutron stars provide unique environments where dense matter is hot, lepton rich, and potentially undergoes a transition from hadronic to deconfined quark matter. We investigate the thermodynamics and…

Nuclear Theory · Physics 2026-05-29 Andrea Sabatucci , Armen Sedrakian

We study chiral symmetry breaking in the Nambu--Jona-Lasinio model regularized in proper-time in arbitrary space-time dimensions through an iterative procedure by writing the gap equation in the form of a discrete dynamical system with the…

High Energy Physics - Phenomenology · Physics 2018-10-03 Aftab Ahmad , Angelo Martínez , Alfredo Raya

We explore the inhomogeneous QCD phases at finite density and temperature using a (3+1)-dimensional Nambu-Jona-Lasinio (NJL) model in the large Nc limit with an additional attractive tensor-tensor interaction channel. For single modulated…

Nuclear Theory · Physics 2013-04-04 Bo Feng , Efrain J. Ferrer , Vivian de la Incera

We study the interplay of the chiral and the color superconducting phase transitions in an extended Nambu--Jona-Lasinio model with a multi-quark interaction that produces the nonlinear chiral-diquark coupling. We observe that this nonlinear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kouji Kashiwa , Masayuki Matsuzaki , Hiroaki Kouno , Masanobu Yahiro

We discuss the Nambu-Jona-Lasinio (NJL) model in curved space-time with torsion in the leading order of the $1/N$ expansion. The effective potential of the torsion sector is calculated using the new technique based on the nonlocal part of…

High Energy Physics - Theory · Physics 2024-12-16 Públio Rwany Batista Ribeiro do Vale

We study the conditions for the existence of stable quark matter in the Nambu--Jona-Lasinio mean field at zero temperature and discuss its interpretation.

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

We discuss the isentropic trajectories on the QCD phase diagram in the temperature and the quark chemical potential plane using the Nambu--Jona-Lasinio model with the Polyakov loop coupling (PNJL model). We impose a constraint on the…

High Energy Physics - Phenomenology · Physics 2010-04-14 Kenji Fukushima

In this paper we discuss symmetry breakdown in NJL model at low N_c. In particular we propose a modified NJL model that displays a symmetry breakdown and also at finite temperatures under certain conditions the chiral fluctuations in this…

High Energy Physics - Phenomenology · Physics 2009-10-31 Egor Babaev

The behavior of kaons and pions in hot non strange quark matter, simulating neutron matter, is investigated within the SU(3) Nambu-Jona-Lasinio [NJL] and in the Enlarged Nambu-Jona-Lasinio [ENJL] (including vector pseudo-vector interaction)…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. C. Ruivo , P. F. Costa , C. A. Sousa