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In this review paper, I present a study of the structure of the hadrons computed in the covariant Nambu-Jona-Lasinio model as the chiral effective quark theory of QCD. I describe how the NJL model is treated to imitate the spontaneous…

High Energy Physics - Phenomenology · Physics 2026-04-14 Parada T. P. Hutauruk

The mechanism of a confining medium is investigated within the Nambu-Jona-Lasinio (NJL) approach. It is shown that a confining medium can be realized in the bosonized phase of the NJL model due to vacuum fluctuations of both fermion and…

High Energy Physics - Theory · Physics 2022-03-02 M. Faber , A. N. Ivanov , N. I. Troitskaya

We study the QCD phase structure in the three-flavor Nambu-Jona-Lasinio model, incorporating the interplay between the chiral and diquark condensates induced by the axial anomaly. We demonstrate that for an appropriate range of parameters…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hiroaki Abuki , Gordon Baym , Tetsuo Hatsuda , Naoki Yamamoto

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The…

We investigate the properties of QCD axion at low temperature and moderate density in the Nambu-Jona-Lasinio model with instanton induced interactions by simultaneously considering the scalar and pseudo-scalar condensates in both…

High Energy Physics - Phenomenology · Physics 2025-01-22 Zhao Zhang , Wenhao Zhao

We study the QCD phase structure in the three-flavor Nambu--Jona-Lasinio model, incorporating the chiral-diquark interplay due to the axial anomaly. We demonstrate that for a certain range of model parameters, the low temperature critical…

High Energy Physics - Phenomenology · Physics 2011-02-01 Hiroaki Abuki , Gordon Baym , Tetsuo Hatsuda , Naoki Yamamoto

It is shown that flavor mixing of the strange and light quarks allows for existence of a much larger baryonic chemical potential window for the formation of a stable dual chiral-wave state as compared to the well known two flavor case. In…

High Energy Physics - Phenomenology · Physics 2015-06-18 J. Moreira , B. Hiller , W. Broniowski , A. A. Osipov , A. H. Blin

A complex order parameter is used for describing inhomogeneous quark condensate and its phase is decomposed into a regular part and a singular part. An emergent gauge symmetry is found to connect these two parts. The singular part plays the…

High Energy Physics - Phenomenology · Physics 2025-04-01 Chi Xiong

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

Extensions of the Standard Model with extra neutral currents due to additional anomalous abelian gauge factors are considered. We summarize the main features of the effective action associated to these theories. They are characterized by an…

High Energy Physics - Phenomenology · Physics 2008-11-26 Roberta Armillis , Claudio Coriano , Marco Guzzi

Thermodynamic behavior of conventional Nambu-Jona-Lasinio and Polyakov-loop-extended Nambu-Jona-Lasinio models is compared. A particular attention is paid to the phase diagram in the ($T -\mu$) plane.

High Energy Physics - Theory · Physics 2011-03-14 A. V. Friesen , Yu. L. Kalinovsky , V. D. Toneev

We study a Nambu-Jona-Lasinio (NJL) type model with two-flavor quark matter in $\beta$-equilibrium. It turns out that the system develops instabilities in the dispersion relations of the diquark fields, i.e., the velocity squared $v^2$…

High Energy Physics - Phenomenology · Physics 2009-11-11 Michio Hashimoto

A generalization to any dimension of the fermion field transformation which allows to derive the solution of the massless Schwinger model in the path integral framework is identified. New arguments based on this transformation for a…

High Energy Physics - Phenomenology · Physics 2009-10-30 José Luis Cortés , Jorge Gamboa , Luis Velázquez

In this paper we explore the chiral phase transition in QCD within the three-flavor Nambu-Jona-Lasinio (NJL) model with a negative coupling constant in the isoscalar axial-vector channel, which is associated with a polarized…

High Energy Physics - Phenomenology · Physics 2015-04-16 Lang Yu , Jos Van Doorsselaere , Mei Huang

We analyze the color-flavor-locked phase of strange quark matter modelled by the three-flavor Nambu-Jona-Lasinio (NJL) framework with and without magnetic field and discuss some additional constraints on the stability scenario when a high…

Nuclear Theory · Physics 2013-07-10 L. Paulucci , J. E. Horvath , E. J. Ferrer , V. de la Incera

The present work generalizes a nonlocal version of the Polyakov loop-extended Nambu and Jona-Lasinio (PNJL) model to the case of three active quark flavors, with inclusion of the axial U(1) anomaly. Gluon dynamics is incorporated through a…

High Energy Physics - Phenomenology · Physics 2010-06-15 T. Hell , S. Rößner , M. Cristoforetti , W. Weise

Effects of a flavor singlet vector interaction in the Polyakov - Nambu - Jona-Lasinio (PNJL) model are studied in combination with the axial U(1) breaking Kobayashi - Maskawa - 't Hooft interaction. Using a consistent cutoff scheme we…

High Energy Physics - Phenomenology · Physics 2015-06-04 Nino M. Bratovic , Tetsuo Hatsuda , Wolfram Weise

We study Z_N strings in nonabelian gauge theories, when they can be considered as domain walls compactified on a cylinder and stabilized by the flux inside. To make the wall vortex approximation reliable, we must take the 't Hooft large N…

High Energy Physics - Theory · Physics 2009-11-11 Stefano Bolognesi

Based on the three-flavor Polyakov-looped Nambu$-$Jona-Lasinio (pNJL) model, we have studied the structure of the three-dimensional QCD phase diagram with respect to the temperature, the baryon chemical potential, and the isospin chemical…

High Energy Physics - Phenomenology · Physics 2024-02-06 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

We reexamine the recent instanton motivated studies of Alford, Rajagopal and Wilczek, and Berges and Rajagopal in the framework of the standard SU(2) Nambu-Jona-Lasinio model. The chiral phase diagram is calculated in the…

Nuclear Theory · Physics 2009-10-31 Thomas M. Schwarz , Sandra P. Klevansky , Gabor Papp