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We evaluate the next-to-leading order correction to the Nambu-Jona-Lasinio model starting from quantum chromodynamics. We show that a systematic expansion exists, starting from a given set of exact classical solutions, so that higher order…

High Energy Physics - Phenomenology · Physics 2016-11-24 Marco Frasca

There has been a great deal of interest in understanding the properties of quantum chromodynamics (QCD) for a finite value of the chemical potential and for finite temperature. Studies have been made of the restoration of chiral symmetry in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hu Li , C. M. Shakin

The color superconductivity was studied with an adaptation of the Nambu and Jona-Lasinio model (NJL). This one was coupled to a Polyakov loop, to form the PNJL model. A $\mu$-dependent Polyakov loop potential was considered. An objective of…

High Energy Physics - Phenomenology · Physics 2017-07-04 Eric Blanquier

We study some bulk thermodynamical characteristics, meson properties and the nucleon as a baryon number one soliton in a hot quark matter in the NJL model as well as in a hot nucleon matter in a hybrid NJL model in which the Dirac sea of…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Berger , Chr. -V. Christov

The description of nuclear matter bulk properties in the framework of quark-based hadron models in curved unit cells is extended to finite temperature. We discuss the analogy and interplay of density and temperature effects in this…

Nuclear Theory · Physics 2016-09-08 Hilmar Forkel , A. D. Jackson

We present a method to compute thermodynamic quantities within functional continuum frameworks that is independent of the employed truncation. As a proof of principle, we first apply it to a Nambu-Jona-Lasinio model in mean-field…

High Energy Physics - Phenomenology · Physics 2021-03-15 Philipp Isserstedt , Christian S. Fischer , Thorsten Steinert

We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for…

High Energy Physics - Phenomenology · Physics 2025-06-03 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

We study the nucleon solution of the relativistic Faddeev equation as a function of density in the framework of a generalized Nambu-Jona-Lasinio model. We truncate the interacting two-body channels to the scalar diquark channel, the…

Nuclear Theory · Physics 2007-05-23 M. C. Birse , J. A. McGovern , S. Pepin , N. R. Walet

We investigate the dynamical chiral symmetry breaking and its restoration at finite density and temperature within the two-flavor Nambu-Jona-Lasinio model, and mainly focus on the critical behaviors near the critical end point (CEP) and…

High Energy Physics - Phenomenology · Physics 2015-10-19 Ya Lu , Yi-Lun Du , Zhu-Fang Cui , Hong-Shi Zong

We construct the nuclear and quark matter equations of state at zero temperature in an effective quark theory (the Nambu-Jona-Lasinio model), and discuss the phase transition between them. The nuclear matter equation of state is based on…

Nuclear Theory · Physics 2010-02-17 W. Bentz , T. Horikawa , N. Ishii , A. W. Thomas

Theoretical understanding of experimental results from relativistic heavy-ion collisions requires a microscopic approach to the behavior of QCD n-point functions at finite temperatures, as given by the hierarchy of Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2008-12-18 D. Horvatic , D. Blaschke , D. Klabucar , A. E. Radzhabov

Extending the concepts of light-front field theory to quantum statistics provides a novel approach towards nuclear matter under extreme conditions. Such conditions exist, e.g., in neutron stars or in the early stage of our universe. They…

Nuclear Theory · Physics 2009-11-10 Michael Beyer

We derive the critical temperature in a nonlocal Nambu-Jona-Lasinio model with the presence of a chiral chemical potential. The model we consider uses a form factor derived from recent studies of the gluon propagator in Yang-Mills theory…

High Energy Physics - Phenomenology · Physics 2018-10-02 Marco Frasca

We investigate the capabilities of the Nambu--Jona-Lasinio model to describe and reproduce fundamental vacuum properties of Quantum Chromodynamics, notably the hadronic spectrum. Mesons are described as quark-antiquark bound states at the…

High Energy Physics - Phenomenology · Physics 2023-04-19 Antoine Pfaff , Hubert Hansen , Juan M. Torres-Rincon , Joerg Aichelin

Chemically non-equilibrated quark-antiquark matter is studied within the Nambu-Jona-Lasinio model. The equations of state of non-strange (q=u,d) and strange (q=s) quark-antiquark systems are calculated in the mean-field approximation. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. N. Mishustin , L. M. Satarov , H. Stoecker , W. Greiner

We study the chiral phase transition at finite temperature $T$ and baryonic chemical potential $\mu_B$ within the framework of the SU(3) Nambu-Jona-Lasinio (NJL) model. The QCD critical end point (CEP) and the critical line at finite $T$…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pedro Costa , C. A. de Sousa , M. C. Ruivo , Yu. L. Kalinovsky

Focus of the chapter is on the theoretical approaches aimed to analyze thermoelectric properties at the nanoscale. We discuss several relevant theoretical approaches for different set-ups of nano-devices providing estimations of the…

Mesoscale and Nanoscale Physics · Physics 2020-07-06 Carmine Antonio Perroni , Giuliano Benenti

The charge form factor and weak decay constant of the pion as well as the pion-quark coupling constant in symmetric nuclear matter are explored in the framework of the Nambu--Jona-Lasinio model, where the pion is described as a bound state…

Nuclear Theory · Physics 2019-01-16 Parada T. P. Hutauruk , Yongseok Oh , K. Tsushima

We present the thermodynamic properties of strongly interacting matter in finite volume in the framework of Polyakov loop enhanced Nambu$-$Jona-lasinio model within mean field approximation. We considered both the 2 flavor and 2+1 flavor…

High Energy Physics - Phenomenology · Physics 2013-04-17 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Rajarshi Ray , Subrata Sur

Properties of cold nuclear matter are studied within a generalized Nambu-Jona-Lasinio model formulated on the level of constituent nucleons. The model parameters are chosen to reproduce simultaneously the observed nucleon and pion masses in…

High Energy Physics - Phenomenology · Physics 2009-11-10 I. N. Mishustin , L. M. Satarov , W. Greiner
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