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The Nambu--Jona-Lasinio (NJL) model has been extensively studied by many researchers. In previous work we have generalized the NJL model to include a covariant model of confinement. In the present work we consider further modification of…

Nuclear Theory · Physics 2007-05-23 Bing He , Hu Li , Qing Sun , C. M. Shakin

For quark matter studies in astrophysics the thermodynamic bag model (tdBAG) has been widely used. Despite its success it fails to account for various phenomena expected from Quantum-Chromo-Dynamics (QCD). We suggest a straightforward…

Nuclear Theory · Physics 2015-10-21 Thomas Klahn , Tobias Fischer

A nonlocal covariant extension of the two-flavor Nambu and Jona-Lasinio (NJL) model is constructed, with built-in constraints from the running coupling of QCD at high-momentum and instanton physics at low-momentum scales. Chiral low-energy…

High Energy Physics - Phenomenology · Physics 2010-04-15 T. Hell , S. Roessner , M. Cristoforetti , W. Weise

We compare two QCD-inspired quark models with four-fermion interaction, without and with the remnant coupling to low-energy gluons, in the regime of dynamical chiral symmetry breaking (DCSB). The first one, the Nambu-Jona-Lasinio (NJL)…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov

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 numerically solve the transport equations for a quark gas described by the the Nambu-Jona-Lasinio model. The mean field equations of motion, which consist of the Vlasov equation for the density and the gap equation for the mean field,…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. Rehberg , J. H"ufner

The quark mass dependence of nucleon magnetic moments is explored over a wide range. Quark masses currently accessible to lattice QCD, which lie beyond the regime of chiral perturbation theory (chiPT), are accessed via the cloudy bag model…

High Energy Physics - Lattice · Physics 2010-02-17 Derek B. Leinweber , Ding H. Lu , Anthony W. Thomas

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

Based on the quark mass density- and temperature- dependent model we suggest a model for nuclear matter where the meson field is introduced to be directly coupled to the quarks. The dynamic formation of the nucleon bag, the saturation…

Nuclear Theory · Physics 2009-11-10 Wei Liang Qian , Ru Keng Su

A simple confining separable interaction Ansatz for the rainbow-ladder truncated QCD Dyson-Schwinger equations is used to study quark deconfinement and meson states at finite temperature. The model is fixed at T=0 to implement quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , Yu. L. Kalinovsky , P. C. Tandy

We reinvestigate the conditions for stable matter solutions in the Nambu--Jona-Lasinio (NJL) model. In mean field approximation the NJL model can be regarded as an extension of the Walecka mean field model to include negative energy fermion…

Nuclear Theory · Physics 2009-10-30 Michael Buballa

Recent consensus on the $N_f=2+1$ equation of state at vanishing chemical potential from different lattice-QCD groups has spoiled the previous agreement with the outcome from the mean-field Polyakov-Nambu-Jona-Lasinio model. In this letter…

Nuclear Theory · Physics 2017-04-28 Juan M. Torres-Rincon , Joerg Aichelin

A simple chiral quark model of the Nambu--Jona-Lasinio (NJL) type with a quark confinement mechanism is constructed for the description of the light meson sector of QCD at finite temperature. Unphysical quark production thresholds in the…

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

We discuss the quark condensate of the vacuum inside the baryon. We analyze the 1+1 dimensional chiral bag in analogy with the realistic 3+1 dimensional one. The Nambu--Jona-Lasinio (NJL) type interaction is used to investigate the quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Yasui , A. Hosaka , M. Oka

We compare the mass-radius relationship of strange stars obtained in two theoretical frameworks describing the color-flavor-locking state of dense quark matter: The semi-empirical MIT model and a self-consistent approach using the…

Nuclear Theory · Physics 2013-11-21 L Paulucci , E J Ferrer , J E Horvath , V de la Incera

We derive a Nambu--Jona-Lasinio (NJL) model from a non-local gauge theory and show that it has confining properties at low energies. In particular, we present an extended approach to non-local QCD and a complete revision of the technique of…

High Energy Physics - Phenomenology · Physics 2024-04-15 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

Solutions and their evolutions of the quark gap equation are studied within the Nambu-Jona--Lasinio model, which is a basic issue for studying the QCD phase structure and locating the possible critical end point. It is shown that in the…

High Energy Physics - Phenomenology · Physics 2018-09-28 Zhu-Fang Cui , Shu-Sheng Xu , Bo-Lin Li , An Sun , Jing-Bo Zhang , Hong-Shi Zong

We formulate the covariant equations for quark-antiquark bound states in Minkowski space in the framework of the Covariant Spectator Theory. The quark propagators are dressed with the same kernel that describes the interaction between…

High Energy Physics - Phenomenology · Physics 2014-01-09 Elmar P. Biernat , Franz Gross , M. T. Peña , Alfred Stadler

In the SU(3) Nambu-Jona-Lasinio (NJL) model of a thermally magnetized medium, the regularization methods adopted for the thermodynamic potential and the mass gap equation are utilized to calculate the relevant thermodynamic quantities in…

Nuclear Theory · Physics 2025-06-05 Xiang-Qiong Liu

QCD-based thermodynamics at zero and finite quark chemical potential is studied using an extended Nambu and Jona-Lasinio approach in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field…

Nuclear Theory · Physics 2007-05-23 Claudia Ratti , Michael A. Thaler , Wolfram Weise
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