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A local and gauge invariant version of QCD Lagrangian is introduced. The model includes Nambu-Jona-Lasinio (NJL) terms within its action in a surprisingly renormalizable form. This occurs thanks to the presence of action terms which at…

High Energy Physics - Theory · Physics 2017-05-23 Alejandro Cabo Montes de Oca

We compare two different possibilities to include meson-loop corrections in the Nambu-Jona-Lasinio model: a strict 1/N_c-expansion in next-to-leading order and a non-perturbative scheme corresponding to a one-meson-loop approximation to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Oertel , M. Buballa , J. Wambach

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

An extended Nambu-Jona-Lasinio (NJL) model with chiral group $U(2)\times U(2)$ and spin-0 and spin-1 four quark interactions is used to develop the gauge covariant approach to the diagonalization of the $\pi-a_1$ mixing in the presence of…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. A. Osipov , B. Hiller , P. M. Zhang

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

The variational method allows one to study the mixing of interpolators with different chiral transformation properties in the nonperturbatively determined physical state. It is then possible to define and calculate in a gauge-invariant…

High Energy Physics - Lattice · Physics 2010-10-28 L. Ya. Glozman , C. B. Lang , M. Limmer

In this paper, we report the results of our study on the nuclear medium modifications of the meson electromagnetic form factors in the framework of the Nambu--Jona-Lasinio (NJL) model with the help of the Schwinger proper-time…

High Energy Physics - Phenomenology · Physics 2024-10-29 Geoffry Gifari , Parada T. P. Hutauruk , Terry Mart

Traditional cutoff regularization schemes of the Nambu--Jona-Lasinio model limit the applicability of the model to energy-momentum scales much below the value of the regularizing cutoff. In particular, the model cannot be used to study…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. L. S. Farias , G. Dallabona , G. Krein , O. A. Battistel

Employing a field dependent three-momentum cut-off regularization technique, we study the phase structure and mesonic masses using the $2$-flavour Nambu-Jona Lasinio model at finite temperature and density in presence of arbitrary external…

Nuclear Theory · Physics 2019-07-10 Nilanjan Chaudhuri , Snigdha Ghosh , Sourav Sarkar , Pradip Roy

We treat quantum chromodynamics (QCD) using a set of Dyson-Schwinger equations derived, in differential form, with the Bender-Milton-Savage technique. In this way, we are able to derive the low energy limit that assumes the form of a…

High Energy Physics - Phenomenology · Physics 2022-11-22 Marco Frasca , Anish Ghoshal , Stefan Groote

We discuss the properties of the net--quark and isovector fluctuations along the chiral phase transition line in the plane spanned by temperature and baryon chemical potential. Our results are obtained in terms of the Nambu--Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. Redlich , B. Friman , C. Sasaki

We consider the Quasilocal Quark Model of NJL type including vector and axial-vector four-fermion interaction with derivatives. In the presence of a strong attraction in the scalar channel the chiral symmetry is spontaneously broken and as…

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

We propose a prescription to constrain the chiral effective model approach to the QCD phase diagram using the thermal Statistical Model, which is a description consistent with the experimental data at the freeze-out. In the transition…

High Energy Physics - Phenomenology · Physics 2011-06-27 Kenji Fukushima

The Nambu-Jona-Lasinio (NJL) model and specifically its extension to color superconductivity (CSC) is a popular effective model for investigating dense quark matter. However, the reliability of its results is challenged by cutoff artifacts,…

High Energy Physics - Phenomenology · Physics 2024-12-18 Hosein Gholami , Marco Hofmann , Michael Buballa

We investigate the role of short-range correlations in quark matter within the framework of the SU(2) NJL model. Employing a next-to-leading order expansion in 1/N_c for the quark self energy we construct a fully self-consistent model that…

Nuclear Theory · Physics 2008-11-26 Frank Froemel , Stefan Leupold

We extend the parity doublet model for hadronic matter and study the possible presence of quark matter inside the cores of neutron stars with the Nambu-Jona-Lasinio (NJL) model. Considering the uncertainties of the QCD phase diagram and the…

Nuclear Theory · Physics 2025-12-09 Wen-Li Yuan , Bikai Gao , Yan Yan , Bo-Lin Li , Renxin Xu

We generalize a non-local Nambu-Jona-Lasinio model to a generic representation of the gauge group. The critical temperature is given in a closed form as a function of the parameters of the theory and the cut-off. This result is generally…

High Energy Physics - Phenomenology · Physics 2012-01-31 Marco Frasca

Properties of dense quark matter in and out of chemical equilibrium are studied within the SU(3) Nambu-Jona-Lasinio model. In addition to the 4-fermion scalar and vector terms the model includes also the 6-fermion flavour mixing…

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

We present results from numerical simulations of the Nambu-Jona-Lasinio model with an SU(2)xSU(2) chiral symmetry and N_c=4,8, and 16 quark colors at nonzero temperature. We performed the simulations by utilizing the hybrid Monte Carlo and…

High Energy Physics - Lattice · Physics 2009-11-11 Costas Strouthos , Stavros Christofi

A non-local Nambu-Jona-Lasinio model can be derived from QCD in the low-energy limit. In this way, it is possible to fix all the free parameters of the model with physical ones. We used this approach to derive a local limit to the…

High Energy Physics - Phenomenology · Physics 2014-11-26 Marco Frasca