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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

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

The QCD phase diagram at finite temperature and density has attracted considerable interest over many decades now, not least because of its relevance for a better understanding of heavy-ion collision experiments. Models provide some insight…

High Energy Physics - Phenomenology · Physics 2017-04-05 Paul Springer , Jens Braun , Stefan Rechenberger , Fabian Rennecke

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 test the reliability of the the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, comparing the model result with the lattice data at nonzero imaginary chemical potential. The PNJL model with the vector-type four-quark and…

High Energy Physics - Phenomenology · Physics 2009-08-21 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masayuki Matsuzaki , Masanobu Yahiro

We study the effect of intense magnetic fields on the phase diagram of cold, strongly interacting matter within an extended version of the Nambu-Jona-Lasinio model that includes flavor mixing effects and vector interactions. Different…

High Energy Physics - Phenomenology · Physics 2015-02-10 Pablo G. Allen , Valeria P. Pagura , Norberto N. Scoccola

A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on this transformation for a…

High Energy Physics - Phenomenology · Physics 2009-10-30 José Luis Cortés , Jorge Gamboa , Luis Velázquez

A possibility of formation of static dual scalar and pseudoscalar density wave condensates in dense quark matter is considered for the Nambu--Jona-Lasinio model in an external magnetic field. Within a mean-field approximation, the effective…

High Energy Physics - Phenomenology · Physics 2014-11-21 I. E. Frolov , V. Ch. Zhukovsky , K. G. Klimenko

We investigate the phase diagram on temperature-chemical potential plane in the Nambu-Jona-Lasinio model with the dimensional regularization. While the structure of the resulting diagram shows resemblance to the one in the frequently used…

High Energy Physics - Phenomenology · Physics 2015-06-04 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

The mechanism of a confining medium is investigated within the Nambu-Jona-Lasinio (NJL) approach. It is shown that a confining medium can be realized in the bosonized phase of the NJL model due to vacuum fluctuations of both fermion and…

High Energy Physics - Theory · Physics 2022-03-02 M. Faber , A. N. Ivanov , N. I. Troitskaya

The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator $\bar{\psi}\psi$ is calculated by using the…

High Energy Physics - Theory · Physics 2009-09-17 T. Inagaki , T. Muta , S. D. Odinstov

The phase structures of Nambu-Jona-Lasinio models with one or two flavours have been investigated at non-zero values of $\mu$ and $H$, where $H$ is an external magnetic field and $\mu$ is the chemical potential. In the phase portraits of…

High Energy Physics - Phenomenology · Physics 2016-08-25 D. Ebert , K. G. Klimenko , M. A. Vdovichenko , A. S. Vshivtsev

In this talk we discuss the role of inhomogeneous phases in the phase diagram of the Nambu-Jona-Lasinio (NJL) and the quark meson (QM) model. By means of a generalized Ginzburg-Landau (GL) expansion it is concluded that the critical point…

High Energy Physics - Phenomenology · Physics 2014-11-20 Dominik Nickel

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

We study the chiral phase transition of the two flavor Nambu-Jona-Lasinio (NJL) model in a sphere with the MIT boundary condition. We find that the MIT boundary condition results in much stronger finite size effects than the antiperiodic…

High Energy Physics - Phenomenology · Physics 2020-02-19 Zheng Zhang , Chao Shi , Hongshi Zong

We reexamine the recent instanton motivated studies of Alford, Rajagopal and Wilczek, and Berges and Rajagopal in the framework of the standard SU(2) Nambu-Jona-Lasinio model. The chiral phase diagram is calculated in the…

Nuclear Theory · Physics 2009-10-31 Thomas M. Schwarz , Sandra P. Klevansky , Gabor Papp

Phase structure of the four dimensional Nambu -- Jona-Lasinio model has been investigated in two cases: 1) in nonsimply connected space-time of the form $R^3\times S^1$ (space coordinate is compactified and the length of the circle $S^1$ is…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. G. Klimenko

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 derive a non-local Nambu-Jona-Lasinio model from QCD with a form factor exactly obtained in the infrared limit. With this model, having all the parameters properly fixed through those of QCD, we consider the case of finite temperature…

High Energy Physics - Phenomenology · Physics 2015-03-19 Marco Frasca

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…

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