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The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

Both in heavy-ion collisions as in magnetars very strong magnetic fields are produced, which has its influence on the phases of matter involved. In this paper we investigate the effect of strong magnetic fields (B = 5 m_pi^2 /e = 1.7 x…

High Energy Physics - Phenomenology · Physics 2010-04-14 Jorn K. Boomsma , Daniel Boer

In this review, we summarize recent progress on the possible phases of quantum chromodynamics (QCD) in the presence of a strong magnetic field, mainly from the views of the chiral effective Nambu--Jona-Lasinio model. Four kinds of phase…

High Energy Physics - Phenomenology · Physics 2023-02-22 Gaoqing Cao

The chiral model is used to describe quark matter under strong magnetic fields and compared to other models, the MIT bag model and the two flavors Nambu-Jona-Lasinio model. The effect of vacuum corrections due to the magnetic field is…

Nuclear Theory · Physics 2011-05-13 Aziz Rabhi , Constança Providência

We consider the simplest versions of the Nambu--Jona-Lasinio (NJL) model and the Linear Sigma Model (LSM), in the Mean Field Approximation (MFA), in order to analyze hot and dense two flavor quark matter subject to strong magnetic fields.…

High Energy Physics - Phenomenology · Physics 2015-06-05 Gabriel N. Ferrari , Andre F. Garcia , Marcus B. Pinto

We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). The subjects treated in Part I include the vacuum structure of QCD, mass spectra and coupling constants of…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. Hatsuda , T. Kunihiro

We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop (PNJL model) in the presence of a strong magnetic field and a chiral chemical potential $\mu_5$ which mimics the effect of imbalanced chirality due to QCD instanton…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Fukushima , Marco Ruggieri , Raoul Gatto

We study the behavior of strongly interacting matter under a uniform intense external magnetic field in the context of nonlocal extensions of the Polyakov-Nambu-Jona-Lasinio model. A detailed description of the formalism is presented,…

High Energy Physics - Phenomenology · Physics 2017-12-22 D. Gomez Dumm , M. F. Izzo Villafañe , S. Noguera , V. P. Pagura , N. N. Scoccola

We review the main features of the QCD phase diagram description, at finite temperature, baryon density and in the presence of a magnetic field, from the point of view of effective models, whose main ingredient is chiral symmetry. We…

High Energy Physics - Phenomenology · Physics 2021-07-28 Alejandro Ayala , Luis A. Hernández , Marcelo Loewe , Cristian Villavicencio

On the basis of the NJL model as an effective theory of QCD and analogies with condensed matter physics, we extract simple physical pictures of the chiral phase transition at finite temperature $T$ and/or chemical potential $\mu$ and…

High Energy Physics - Phenomenology · Physics 2011-04-15 Teiji Kunihiro

In this chapter, we discuss several aspects of the theory of strong interactions in presence of a strong magnetic background. In particular, we summarize our results on the effect of the magnetic background on chiral symmetry restoration…

High Energy Physics - Phenomenology · Physics 2015-06-05 Raoul Gatto , Marco Ruggieri

The thermodynamic potential and thermal dependence of low lying mass spectra of scalars and pseudoscalars are evaluated in a generalized Nambu -- Jona-Lasinio model, which incorporates eight-quark interactions. These are necessary to…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. Hiller , A. A. Osipov , J. Moreira , A. H. Blin

We study magnetic field effect on chiral phase transition in a Nambu--Jona-Lasinio model. In comparison with mean field approximation containing quarks only, including mesons as quantum fluctuations in the model leads to a transition from…

High Energy Physics - Theory · Physics 2016-08-31 Shijun Mao

The presence of a strong magnetic background can modify the nature and the dynamics of the chiral phase transition at finite temperature. We compute the modified effective potential in the linear sigma model with quarks to one loop in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eduardo S. Fraga , Ana Júlia Mizher

The phase structure of magnetized cold quark matter is analyzed in the framework of the two-flavor Nambu-Jona-Lasinio models paying special attention to its dependence on the model parameters as different values within the phenomenological…

High Energy Physics - Phenomenology · Physics 2013-11-20 Pablo G. Allen , Norberto N. Scoccola

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

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

The presence of a strong magnetic background can modify the nature and the dynamics of the chiral phase transition at finite temperature: for high enough magnetic fields, comparable to the ones expected to be created in noncentral…

High Energy Physics - Phenomenology · Physics 2009-11-13 Eduardo S. Fraga , Ana Júlia Mizher

The breaking of chiral symmetry of light quarks at zero temperature in presence of strong quantizing magnetic field is studied using Nambu-Jona-Lasinio (NJL) model with Thomas-Fermi type semi-classical formalism. It is found that the…

Astrophysics · Physics 2007-05-23 Sutapa Ghosh , Soma Mandal , Somenath Chakrabarty

The compressibility of magnetized quark matter is investigated in the SU(2) NJL model. The increases of the chemical potential and the temperature can reduce the compressibility, and lead to the much stiffer equation of state. The variation…

High Energy Physics - Phenomenology · Physics 2021-12-22 Li Yang , Xin-Jian Wen
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