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We study the critical behavior of the three-dimensional (3D) Gross-Neveu (GN) model with $N_f$ Dirac fermionic flavors and quartic interactions, at the chiral ${\mathbb Z}_2$ transition in the massless ${\mathbb Z}_2$-symmetric limit. For…

High Energy Physics - Lattice · Physics 2023-03-08 Claudio Bonati , Alessio Franchi , Andrea Pelissetto , Ettore Vicari

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 present initial results of a numerical investigation of the chiral symmetry restoring transition in the (3+1)-dimensional Nambu -- Jona-Lasinio model with both non-zero baryon chemical potential (mu_B) and isospin chemical potential…

High Energy Physics - Lattice · Physics 2009-11-10 David N. Walters , Simon Hands

We investigate the neighbourhood of the chiral phase transition in a lattice Nambu--Jona-Lasinio model, using both Monte Carlo methods and lattice Schwinger-Dyson equations.

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stueben

We match the non-relativistic quark model, with both flavor dependent and flavor independent effective quark-quark interactions, to the spin-flavor operator basis of the 1/Nc expansion for the L=1 non-strange baryons. We obtain analytic…

Nuclear Theory · Physics 2016-02-10 Cintia Willemyns , Carlos Schat

It is shown that the endpoint of the first order transition line which merges into a crossover regime in the phase diagram of the Nambu--Jona-Lasinio model, extended to include the six-quark 't Hooft and eight-quark interaction Lagrangians,…

High Energy Physics - Phenomenology · Physics 2015-05-18 J. Moreira , B. Hiller , A. A. Osipov , A. H. Blin

We consider the two flavor version of the Linear Sigma Model as well as of the Nambu Jona-Lasinio model, at finite temperature and quark chemical potential, beyond the Mean Field Approximation. Using parameter values for the pion and quark…

Nuclear Theory · Physics 2010-12-23 Lorenzo Ferroni , Volker Koch , Marcus B. Pinto

Effect of magnetic field on chiral symmetry breaking in a 3-flavor Nambu Jona Lasinio (NJL) model at finite temperature and densities is considered here using an explicit structure of ground state in terms of quark and antiquark…

High Energy Physics - Phenomenology · Physics 2011-07-26 Bhaswar Chatterjee , Hiranmaya Mishra , Amruta Mishra

We study the features of low energy strong interactions for a system at zero temperature and finite baryon and isospin chemical potentials, in the framework of a Nambu--Jona-Lasinio-like model that includes nonlocal four-point interactions.…

High Energy Physics - Phenomenology · Physics 2024-02-22 J. P. Carlomagno , D. Gomez Dumm , N. N. Scoccola

Chiral symmetry is an important aspect of QCD. Modelling this via the Nambu-Jona-Lasinio model, we construct a complete relativistic transport theory for quarks and mesons. The collision integral is analysed in a systematic 1/N_c…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. P. Klevansky , A. Ogura , P. Rehberg , J. Hüfner

It is shown how the strong interaction dynamics of a multi-quark Lagrangian affects the catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions. Attention is drawn to the local minima structure of the…

High Energy Physics - Phenomenology · Physics 2008-12-19 Brigitte Hiller , Alexander A. Osipov , Alex H. Blin , Joao da Providencia

In this paper, we conduct a thorough investigation of the surface and curvature tensions, $\sigma$ and $\gamma$, of three-flavor cold quark matter using the Nambu-Jona-Lasinio (NJL) model with vector interactions. Our approach ensures both…

Nuclear Theory · Physics 2024-07-09 A. G. Grunfeld , M. F. Izzo Villafañe , G. Lugones

Chiral symmetry breaking due to instanton-produced fermion zero modes in the confining vacuum is considered. Zero modes provide 'tHooft-type determinant quark interaction, which is bosonized by introduction of auxiliary fields. For three…

High Energy Physics - Theory · Physics 2007-05-23 B. O. Kerbikov , Yu. A. Simonov

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

In this work, we extend the two-flavor Nambu--Jona-Lasinio model to one capable of exploring quark and nuclear matter consistently. With an extra term standing for quark-nucleon interactions, nucleons could automatically emerge as…

Nuclear Theory · Physics 2024-12-03 Gaoqing Cao

Inspired by the model of Nambu and Jona-Lasinio, various Lagrangians are considered for a system of interacting quarks. Employing standard techniques of many-body theory, the scalar part of the quark self-energy is calculated including…

Nuclear Theory · Physics 2008-11-26 P. Domitrovich , D. Bückers , H. Müther

By bosonization of an extended NJL model we derive an effective meson theory which describes the interplay between chiral symmetry and heavy quark dynamics. This effective theory is worked out in the low-energy regime using the gradient…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Ebert , T. Feldmann , R. Friedrich , H. Reinhardt

This is a revised version of a talk given at the Chiral Dynamics Workshop at M.I.T., July 25, 1994. It reports results in three areas: (1) The isospin-violating interactions between one non-relativistic nucleon and any number of soft pions…

High Energy Physics - Phenomenology · Physics 2009-10-28 Steven Weinberg

Nambu-Jona-Lasinio-type models are often employed as low-energy models for the theory of the strong interaction to analyze its phase structure at finite temperature and quark chemical potential. In particular at low temperature and large…

High Energy Physics - Phenomenology · Physics 2018-05-02 Jens Braun , Marc Leonhardt , Martin Pospiech

The breaking of chiral symmetry of light quarks at zero temperature in presence of strong quantizing magnetic field is studied using Nambu-Jona-Lasinio (NJL) model with Thomas-Fermi type semi-classical formalism. It is found that the…

Astrophysics · Physics 2007-05-23 Sutapa Ghosh , Soma Mandal , Somenath Chakrabarty