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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 investigate the phase diagram of the so-called Polyakov--Nambu--Jona-Lasinio (PNJL) model at finite temperature and nonzero chemical potential. The calculations are performed in the light and strange quark sectors ($u$, $d$, $s$), which…

High Energy Physics - Phenomenology · Physics 2015-03-20 P. Costa , C. A. de Sousa , M. C. Ruivo , H. Hansen , O. Oliveira , P. J. Silva

A regularization scheme that explicitly separates vacuum contributions from medium effects is applied to a Nambu--Jona-Lasinio model with diquark interactions and in $\beta-$equilibrium. We perform a comparison of this proposed scheme with…

High Energy Physics - Phenomenology · Physics 2019-01-10 Dyana C. Duarte , Ricardo L. S. Farias , Rudnei O. Ramos

The main results of our analysis of the two flavor Nambu--Jona-Lasinio model with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic lattice with naive and Wilson fermions are presented. Large $N$ techniques and…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. Vranas

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 investigate the vacuum structure of dense quark matter in strong magnetic fields at finite temperature and densities in a 3 flavor Nambu Jona Lasinio (NJL) model including the Kobayashi-Maskawa-t'Hooft (KMT) determinant term using a…

High Energy Physics - Phenomenology · Physics 2019-03-27 Aman Abhishek , Hiranmaya Mishra

We consider a theory of gauge fields and fermions which we argue gives rise to dynamics similar to that of the Nambu--Jona-Lasinio (NJL) model when a gauge coupling constant is appropriately fine-tuned. We discuss the application of this…

High Energy Physics - Phenomenology · Physics 2016-09-01 Markus A. Luty

We use a Nambu-Jona Lasinio type model to investigate the phase diagram of dense quark matter under neutron star conditions in mean field approximation. The model contains selfconsistently determined quark masses and allows for diquark…

High Energy Physics - Phenomenology · Physics 2010-04-21 Hannes Basler , Michael Buballa

The behavior of kaons and pions in strange quark matter in weak equilibrium, is investigated within the SU(3) Nambu-Jona-Lasinio [NJL] model. This work focuses a region of high densities where the behavior of mesons has not been explored in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , Maria C. Ruivo

In this paper we study the surface tension and the curvature energy of three-flavor quark matter in equilibrium under weak interactions within the Nambu-Jona-Lasinio model. We include the effect of color superconductivity and describe…

High Energy Physics - Phenomenology · Physics 2014-02-21 G. Lugones , A. G. Grunfeld , M. Al Ajmi

A less well known variant of the Nambu--Jona-Lasinio model with Nc colors and U(2)L X U(2)R chiral symmetry is studied in 1+1 dimensions. Using semi-classical methods appropriate for the large Nc limit, we determine the vacuum manifold, the…

High Energy Physics - Theory · Physics 2021-02-16 Michael Thies

The self-energy of quarks is investigated for various models which are inspired by the Nambu--Jona-Lasinio (NJL) model. Including, beyond the Hartree-Fock approximation, terms up to second-order in the quark interaction, the real and…

Nuclear Theory · Physics 2009-10-22 P. P. Domitrovich , H. Müther

We present results from a lattice Monte Carlo study of the Nambu - Jona-Lasinio model in 3+1 dimensions with a baryon chemical potential mu=/=0. As mu is increased there is a transition from a chirally-broken phase to relativistic quark…

High Energy Physics - Phenomenology · Physics 2017-08-23 Simon Hands , David N. Walters

We study the chiral phase transition in the presence of the chiral chemical potential $\mu_5$ using the two-flavor Nambu--Jona-Lasinio model. In particular, we analyze the reason why one can obtain two opposite behaviors of the chiral…

High Energy Physics - Phenomenology · Physics 2016-07-27 Lang Yu , Hao Liu , Mei Huang

In this article we study the finite temperature and chemical potential effects in a nonlocal Nambu-Jona-Lasinio (nNJL) model in the real time formalism. We make the usual Wick rotation to get from imaginary to real time formalism. In doing…

High Energy Physics - Phenomenology · Physics 2013-09-11 M. Loewe , F. Marquez , C. Villavicencio

We show that the nonlocal two-flavor Nambu--Jona-Lasinio model predicts the enhancement of both chiral and axial symmetry breaking as the chiral imbalance of hot QCD matter, regulated by a chiral chemical potential $\mu_5$, increases. The…

High Energy Physics - Phenomenology · Physics 2020-07-22 Marco Ruggieri , Maxim N. Chernodub , Zhen-Yan Lu

The phase diagram of the two-dimensional Nambu--Jona-Lasinio model with isospin is explored in the large Nc limit with semiclassical methods. We consider finite temperature and include chemical potentials for all conserved charges. In the…

High Energy Physics - Theory · Physics 2020-01-22 Michael Thies

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

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

Temperature dependence of the quark condensate is studied in the Nambu--Jona-Lasinio model with meson loops. Substantial differences are found compared to the results with quark loops only.

High Energy Physics - Phenomenology · Physics 2009-10-28 Wojciech Florkowski , Wojciech Broniowski
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