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We study the critical point in the QCD phase diagram in the Nambu-Jona-Lasino (NJL) model by including a scalar-vector coupled interaction. We find that varying the strength of this interaction, which has no effect on the vacuum properties…

Nuclear Theory · Physics 2021-01-13 Kai-Jia Sun , Che-Ming Ko , Shanshan Cao , Feng Li

We discuss a Nambu--Jona-Lasinio (NJL) type quantum field theoretical approach to the quark matter equation of state with color superconductivity and construct hybrid star models on this basis. It has recently been demonstrated that with…

Nuclear Theory · Physics 2014-11-20 D. Blaschke , T. Klahn , R. Lastowiecki , F. Sandin

Two variants of the Nambu--Jona-Lasinio model -- the model with 4-dimensional cutoff and the model with dimensionally-analytical regularization -- are systematically compared. It is shown that they are, in essence, two different models of…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. G. Jafarov , V. E. Rochev

An investigation of dynamical chiral symmetry breaking on the light front is made in the Nambu--Jona-Lasinio model with one flavor and N colors. Analysis of the model suffers from extraordinary complexity due to the existence of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Itakura , S. Maedan

We analyze the quantum dynamics of the fractional-time Jaynes-Cummings model using a recent unitary framework for the fractional-time Schr\"odinger equation. We examine how the fractional derivative order $\alpha$ influences non-classical…

Quantum Physics · Physics 2026-04-23 Thiago T. Tsutsui , Danilo Cius , Antonio S. M. de Castro , Fabiano M. Andrade

We investigate the phase structure of two-color QCD at both real and imaginary chemical potentials mu, performing lattice simulations and analyzing the data with the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. Lattice QCD…

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

We study the regularization dependence of the Nambu-Jona--Lasinio model (NJL) predictions for some properties of magnetized quark matter at zero temperature (and baryonic density) in the mean field approximation. The model parameter…

High Energy Physics - Phenomenology · Physics 2019-07-22 Sidney S. Avancini , Ricardo L. S. Farias , Norberto N. Scoccola , William R. Tavares

We present a lattice study of a Nambu Jona-Lasinio (NJL) model using Wilson fermions. Four fermion interactions are a natural part of several extensions of the Standard Model, appearing as a low energy description of a more fundamental…

High Energy Physics - Lattice · Physics 2017-02-08 Jarno Rantaharju , Vincent Drach , Claudio Pica , Francesco Sannino

We obtain a q-deformed algebra version of the Nambu-Jona-Lasinio model gap equation. In this framework we discuss some hadronic properties such as the dynamical mass generated for the quarks, the pion decay constant and the phase transition…

Nuclear Theory · Physics 2009-10-31 V. S. Timoteo , C. L. Lima

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

We show that at the leading order in the large-$N$ expansion a lattice QCD motivated linear rising confinement potential at large distances leads to a non-local four-quark interaction that realizes spontaneous breaking of chiral symmetry…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. N. Ivanov , N. I. Troitskaya , M. Faber , M. Schaler , M. Nagy

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 present our full 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. We find that this model is an excellent toy field…

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

The Polyakov$-$Nambu$-$Jona-Lasinio model has been quite successful in describing various qualitative features of observables for strongly interacting matter, that are measurable in heavy-ion collision experiments. The question still…

High Energy Physics - Phenomenology · Physics 2017-08-15 Abhijit Bhattacharyya , Sanjay K. Ghosh , Soumitra Maity , Sibaji Raha , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya

We investigate a chirally imbalanced medium in the context of the two-flavor Nambu--Jona-Lasinio model using both the large-$N_c$ (LN) and beyond large-$N_c$ (BLN) approximations. To incorporate BLN effects, we consider the optimized…

High Energy Physics - Phenomenology · Physics 2025-10-21 André G. da Silva , Dyana C. Duarte , Ricardo L. S. Farias , Marcus Benghi Pinto , Rudnei O. Ramos , William R. Tavares

Our understanding of the dynamics and the phase structure of dense strong-interaction matter is to a large extent still built on the analysis of low-energy models, such as those of the Nambu-Jona-Lasinio-type. In this work, we analyze the…

High Energy Physics - Phenomenology · Physics 2020-02-19 Jens Braun , Marc Leonhardt , Martin Pospiech

The properties of the chiral phase transition at finite temperature and chemical potential are investigated within a nonlocal covariant extension of the Nambu-Jona-Lasinio model based on a separable quark-quark interaction. We consider both…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. General , D. Gomez Dumm , N. N. Scoccola

The Nambu Jona-Lasinio model of chiral symmetry breaking predicts a second order chiral phase transition. If the fermions in addition have non-abelian gauge interactions then the transition is expected to become a crossover as the NJL term…

High Energy Physics - Theory · Physics 2017-05-17 Will Clemens , Nick Evans

We determine parameters of the renormalization group-consistent three-flavor color-superconducting Nambu-Jona-Lasinio (NJL) model that are suited to investigate possible compact-star configurations. Our goal is to provide quark-matter…

High Energy Physics - Phenomenology · Physics 2024-11-20 Hosein Gholami , Ishfaq Ahmad Rather , Marco Hofmann , Michael Buballa , Jürgen Schaffner-Bielich