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Hot and dense quark matter with isospin and chiral imbalances is investigated in the framework of the (3+1)-dimensional Nambu--Jona-Lasinio model (NJL) in the large-$N_c$ limit ($N_c$ is the number of quark colors). Its phase structure is…

High Energy Physics - Phenomenology · Physics 2019-03-27 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We study the solutions of the gap equation, the thermodynamic potential and the chiral susceptibility in and beyond the chiral limit at finite chemical potential in the Nambu--Jona-Lasinio (NJL) model. We give an explicit relation between…

High Energy Physics - Phenomenology · Physics 2017-01-11 Yue Zhao , Lei Chang , Wei Yuan , Yu-xin Liu

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

We investigate the phase structure of the Nambu--Jona-Lasinio model at zero temperature, allowing for a two-dimensional spatial dependence of the chiral condensate. Applying the mean-field approximation, we consider various periodic…

High Energy Physics - Phenomenology · Physics 2015-06-04 Stefano Carignano , Michael Buballa

We study the features of low energy strong interactions for a system at zero temperature and finite baryon and isospin chemical potentials, in the framework of a Nambu--Jona-Lasinio-like model that includes nonlocal four-point interactions.…

High Energy Physics - Phenomenology · Physics 2024-02-22 J. P. Carlomagno , D. Gomez Dumm , N. N. Scoccola

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

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

We study the phase structure of the unpolarized and polarized two-flavor quark matters at zero and finite temperatures within the Nambu--Jona-Lasinio (NJL) model. We focus on the region, which includes the coexisting phase of…

High Energy Physics - Phenomenology · Physics 2007-09-17 M. Inui , H. Kohyama , A. Niégawa

The phase diagram for quark matter is investigated within a simple Nambu-Jona-Lasinio model without vector correlations. It is found that the phase structure in the temperature-density plane depends sensitively on the parametrization of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Blaschke , M. K. Volkov , V. L. Yudichev

The quark-hadron phase transition at finite temperature and baryon chemical potential is investigated in an extended NJL model with scalar-vector eight-point interaction by comparing the pressure of symmetric nuclear matter with that of the…

High Energy Physics - Phenomenology · Physics 2016-06-21 T. -G. Lee , Y. Tsue , J. da Providencia , C. Providencia , M. Yamamura

We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value…

High Energy Physics - Phenomenology · Physics 2009-11-11 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

We estimate here chiral susceptibility at finite temperature within the framework of the Nambu-Jona-Lasinio model (NJL) using the Wigner function approach. We also estimate it in the presence of chiral chemical potential ($\mu_5$) as well…

High Energy Physics - Phenomenology · Physics 2019-12-04 Arpan Das , Deepak Kumar , Hiranmaya Mishra

We suggest and discuss in detail a multi-quark three flavor Lagrangian of the Nambu -- Jona-Lasinio type, which includes a set of effective interactions proportional to the current quark masses. It is shown that within the dynamical chiral…

High Energy Physics - Phenomenology · Physics 2013-11-04 A. A. Osipov , B. Hiller , A. H. Blin

We simulate the lattice Nambu--Jona-Lasinio (NJL) model in 3+1-dimensions at non-zero baryon chemical potential (mu) and zero temperature (T) and treat the results as phenomenologically relevant for cold, dense quark matter. Measurements of…

High Energy Physics - Lattice · Physics 2007-05-23 David N. Walters

By considering the background field method we calculate one-loop polarization corrections to the coupling constant of the flavor-U(5) Nambu-Jona-Lasinio (NJL) model with degenerate up and down quarks. They break flavor and chiral…

High Energy Physics - Phenomenology · Physics 2024-08-16 Willian F. de Sousa , Fabio L. Braghin

In this review article, we give overview on the extended chiral quark models. In particular, how these models are extended to include the higher-order interactions, quantized fields, logarithmic potential and the effect of these…

Nuclear Theory · Physics 2017-07-26 M. Abu-Shady

We study the chiral phase transition of quark matter under rotation in two-flavor Nambu--Jona-Lasinio (NJL) model. It is found that, in the rotating frame, the angular velocity plays the similar role as the baryon chemical potential and…

High Energy Physics - Phenomenology · Physics 2019-02-06 Xinyang Wang , Minghua Wei , Zhibin Li , Mei Huang

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 thermodynamics of the Polyakov-Nambu-Jona-Lasinio model considering the effects of an effective chiral chemical potential. We offer a new parametrization of the Polyakov-loop potential depending on temperature and the chiral…

High Energy Physics - Phenomenology · Physics 2024-10-11 Francisco X. Azeredo , Dyana C. Duarte , Ricardo L. S. Farias , Gastão Krein , Rudnei O. Ramos

The responses of quark condensates to the chemical potential, as a function of temperature T and chemical potential \mu, are calculated within the Nambu--Jona-Lasinio (NJL) model. We compare our results with those from the recent lattice…

High Energy Physics - Lattice · Physics 2011-04-20 O. Miyamura , S. Choe , Y. Liu , T. Takaishi , A. Nakamura