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The chiral phase transition of a hot and dense system of quarks is studied within a modified SU(3) NJL lagrangian that implements the QCD scale anomaly. The u- and s-quark condensates can feel or not the same chiral restoration depending on…

Nuclear Theory · Physics 2009-10-30 J. Cugnon , M. Jaminon , B. Van den Bossche

We consider a new approach to the description of dense nuclear matter in the framework of chirally symmetric, quark-based hadron models. As previously in the Skyrme model, the dense environment is described in terms of hyperspherical cells…

Nuclear Theory · Physics 2009-10-28 Hilmar Forkel

We present the bulk thermodynamic properties and phase diagram of strongly interacting matter in an extension of the 3-flavor NJL and PNJL models of QCD. Using a three momentum cut-off scheme, we have extended the multiquark interaction…

High Energy Physics - Phenomenology · Physics 2014-11-20 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Rajarshi Ray

By means of a relativistic effective potential, we have analytically researched competition between the quark-antiquark condensates $<\bar{q}q>$ and the diquark condensates $<qq>$ in vacuum in ground state of a two-flavor Nambu-Jona-Lasinio…

High Energy Physics - Theory · Physics 2009-03-19 Bang-Rong Zhou

In this paper the massless NJL model extended by the diquark interaction channel is considered. We study its phase structure at zero temperature and in the presence of baryon $\mu_B$, isospin $\mu_I$, chiral $\mu_{5}$ and chiral isospin…

High Energy Physics - Phenomenology · Physics 2023-10-13 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

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 present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate <qq> is measured as a function of source strength j. In the vacuum phase <qq> vanishes…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Biagio Lucini , Susan Morrison

We study the phase structures of charge neutral quark matter under the beta-equilibrium for a wide range of the quark-quark coupling strength within a four-Fermion model. A comprehensive and unified picture for the phase transitions from…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Abuki , T. Kunihiro

A nonperturbative renormalization group equation describes how the momentum dependent four-quark vertex depends on an infrared cutoff. We find a quasilocal one-particle irreducible piece generated by (anomaly-free) multi-gluon exchange. It…

High Energy Physics - Phenomenology · Physics 2009-10-31 Enrico Meggiolaro , Christof Wetterich

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

We study the nucleon-nucleon interaction in a chiral constituent quark model by using the resonating group method, convenient for treating the interaction between composite particles. The calculated phase shifts for the 3S1 and 1S0 channels…

Nuclear Theory · Physics 2009-11-06 D. Bartz , Fl. Stancu

We extend the modified Nambu-Jona-Lasinio (NJL) model -- incorporating exchange interactions via the Fierz transformation -- to finite temperatures in both two- and three-flavor scenarios, and investigate the properties of protoquark stars…

High Energy Physics - Phenomenology · Physics 2026-02-18 Wen-Li Yuan , Nobutoshi Yasutake , Renxin Xu

The Nambu--Jona-Lasinio (NJL) model involves a pointlike 4-fermion interaction. While it gives a useful description of chiral dynamics (mainly in QCD), it nonetheless omits the crucially important internal wave-function of a two-body bound…

High Energy Physics - Phenomenology · Physics 2025-05-16 Christopher T. Hill

Extensions of the NJL model which go beyond the original 4-quark interaction, which drives the dynamical mass generation, have proven to be quite successful in describing low energy hadronic phenomenology. The inclusion of 8-quark…

High Energy Physics - Phenomenology · Physics 2017-12-04 J. Moreira , J. Morais , B. Hiller , A. A. Osipov , A. H. Blin

Hot and dense quark matter with isospin and chiral imbalances is investigated in the framework of the (3+1)-dimensional Nambu--Jona-Lasinio model (NJL) in the large-$N_c$ limit ($N_c$ is the number of quark colors). Its phase structure is…

High Energy Physics - Phenomenology · Physics 2019-03-27 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We investigate the effect of screening of the four-quarks contact interactions by the ring diagram at finite temperature and density in an effective chiral model inspired by QCD in the Coulomb gauge. As a consequence, a medium-dependent…

High Energy Physics - Phenomenology · Physics 2023-09-07 Michał Szymański , Pok Man Lo , Krzysztof Redlich , Chihiro Sasaki

Studying a model of four-quark interaction with large correlation length we find out both the features peculiar an unitary fermi gas and the specific anomalous properties of the fermi systems with a fermion condensate. It is argued that a…

High Energy Physics - Phenomenology · Physics 2014-07-23 S. V. Molodtsov , G. M. Zinovjev

In this paper we investigate the phase structure of a (1+1) and (3+1)-dimensional quark model with four-quark interaction and in the presence of baryon ($\mu_B$), isospin ($\mu_I$) and chiral isospin ($\mu_{I5}$) chemical potentials. It is…

High Energy Physics - Phenomenology · Physics 2018-12-06 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov-Larionov

In this paper, we study the possibility of an inhomogeneous quark condensate in the 1+1 dimensional Nambu-Jona-Lasinio model in the large-$N_c$ limit at finite temperature $T$ and quark chemical potential $\mu$ using dimensional…

High Energy Physics - Theory · Physics 2017-06-06 Prabal Adhikari , Jens O. Andersen

A NJL Lagrangian extended to six and eight quark interactions is applied to study temperature effects (SU(3) flavor limit, massless case), and (realistic massive case). The transition temperature can be considerably reduced as compared to…

High Energy Physics - Phenomenology · Physics 2011-07-26 J. Moreira , A. A. Osipov , B. Hiller , A. H. Blin , J. Providencia