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In present report we review some preliminary results of investigation of higher orders of mean-field expansion for Nambu--Jona-Lasinio model. We discuss first results of investigation of next-to-next-to-leading order of mean-field expansion…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. G. Jafarov , V. E. Rochev

The Nambu-Jona-Lasinio model is considered with flavor-dependent coupling constants $G_{ij} \left[ ( \bar{\psi} \lambda_i \psi ) ( \bar{\psi} \lambda_j \psi )+ ( \bar{\psi} i\gamma_5 \lambda_i \psi ) ( \bar{\psi} i \gamma_5\lambda_j \psi…

High Energy Physics - Phenomenology · Physics 2023-07-11 Fabio L Braghin

We investigate the capabilities of the Nambu--Jona-Lasinio model to describe and reproduce fundamental vacuum properties of Quantum Chromodynamics, notably the hadronic spectrum. Mesons are described as quark-antiquark bound states at the…

High Energy Physics - Phenomenology · Physics 2023-04-19 Antoine Pfaff , Hubert Hansen , Juan M. Torres-Rincon , Joerg Aichelin

We employ the two-flavor quark-meson diquark model as a low-energy model for QCD at non-zero quark and isospin chemical potentials $\mu$ and $\mu_I$, and at zero temperature. We map out the phase diagram in the $\mu$-$\mu_I$ plane, which…

High Energy Physics - Phenomenology · Physics 2025-03-31 Jens O. Andersen , Mathias P. Nødtvedt

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 study the phase diagram of the strongly interacting matter at finite temperatures and densities including 2SC, uniform chiral and non-uniform chiral phases within the Nambu - Jona-Lasinio model in the mean field approximation.

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Sadzikowski

We compute the pion light-cone wave function and the pion quark distribution amplitude in the Nambu-Jona-Lasinio model. We use the Pauli-Villars regularization method and as a result the distribution amplitude satisfies proper normalization…

High Energy Physics - Phenomenology · Physics 2009-11-07 Enrique Ruiz Arriola , Wojciech Broniowski

The influence of the magnetic field on the pion superfluidity and the phase structure is analyzed in the framework of the two-flavor Nambu--Jona-Lasinio(NJL) model. To do this, we first derive the thermodynamic potential from the Lagrangian…

High Energy Physics - Phenomenology · Physics 2013-10-14 Xiaohan Kang , Meng Jin , Juan Xiong , Jiarong Li

The color superconductivity under flavor asymmetric conditions relevant to the compact star phenomenology is studied within the Nambu-Jona-Lasinio model. We focus on the effect of the deformation of the Fermi surfaces on the pairing…

High Energy Physics - Phenomenology · Physics 2010-11-19 H. Müther , A. Sedrakian

We have estimated the susceptibilities of conserved charges for 2-flavor strongly interacting matter with varying system sizes, using the Polyakov loop enhanced Nambu Jona-Lasinio model. The susceptibilities for vanishing baryon densities…

High Energy Physics - Phenomenology · Physics 2015-03-31 Abhijit Bhattacharyya , Rajarshi Ray , Subrata Sur

We present results of numerical simulations of the 2+1d Nambu - Jona-Lasinio model with a non-zero baryon chemical potential mu including the effects of a diquark source term. Diquark condensates, susceptibilities and masses are measured as…

High Energy Physics - Lattice · Physics 2009-11-07 Simon Hands , Biagio Lucini , Susan Morrison

A possibility of formation of static dual scalar and pseudoscalar density wave condensates in dense quark matter is considered for the Nambu--Jona-Lasinio model in an external magnetic field. Within a mean-field approximation, the effective…

High Energy Physics - Phenomenology · Physics 2014-11-21 I. E. Frolov , V. Ch. Zhukovsky , K. G. Klimenko

A sequence of approximations is derived to go beyond the mean-field level in the case of a simple linear sigma model. A naive, local version of the Gaussian approximation is discussed for the $2+1$ flavor extended Polyakov quark-meson model…

High Energy Physics - Phenomenology · Physics 2025-04-28 Győző Kovács , Zsolt Szép , Péter Kovács , György Wolf

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

In this letter, taking the Nambu--Jona--Lasinio model as an example, we propose a new self-consistent mean field approximation method by means of Fierz transformation. This new self-consistent mean field approximation introduces a new free…

Nuclear Theory · Physics 2019-09-04 Fei Wang , Yakun Cao , Yonghui Dia , Hongshi Zong

The Nambu--Jona-Lasinio model is widely used to study strong-interaction phenomena in vacuum and quark matter. Since the model is nonrenormalizable, one needs to work within a specific regularization scheme to obtain finite results. Here we…

High Energy Physics - Phenomenology · Physics 2023-06-13 Arthur E. B. Pasqualotto , Ricardo L. S. Farias , William R. Tavares , Sidney S. Avancini , Gastão Krein

Results are presented from a Monte Carlo simulation of the Nambu -- Jona-Lasinio model with SU(2)xSU(2) chiral symmetry and N_f=2 flavors of fermion. We show that fits to the equation of state are sensitive to the shape and extent of the…

High Energy Physics - Lattice · Physics 2009-10-30 Simon Hands

Extending our recently published $SU(2)$ results for zero temperature we now compute the QCD equation of state for finite isospin density within the three flavor Nambu-Jona-Lasinio model in the mean field approximation, motivated by the…

High Energy Physics - Phenomenology · Physics 2021-05-05 Bruno. S. Lopes , Sidney S. Avancini , Aritra Bandyopadhyay , Dyana C. Duarte , Ricardo L. S. Farias

We analyze the presence of an ambiguity in the pion electromagnetic form factor within a renormalizable version of the Nambu-Jona-Lasinio model. We found out that the ambiguity present on the evaluation of the form factor decouples from its…

High Energy Physics - Theory · Physics 2007-05-23 B. M. Rodrigues , A. L. Mota

We compute the QCD equation of state for zero temperature and finite isospin density within the Nambu-Jona-Lasinio model in the mean field approximation, motivated by the recently obtained Lattice QCD results for a new class of compact…

High Energy Physics - Phenomenology · Physics 2019-12-05 Sidney S. Avancini , Aritra Bandyopadhyay , Dyana C. Duarte , Ricardo L. S. Farias