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It was recently derived that the QCD running coupling is a function of the magnetic field strength under the strong magnetic field approximation. Inspired by this progress and based on the self-consistent solutions of gap equations, the…

High Energy Physics - Phenomenology · Physics 2016-03-23 Chang-Feng Li , Li Yang , Xin-Jian Wen , Guang-Xiong Peng

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

We study a particular class of Abelian gauged Nambu-Jona-Lasinio models with global U_L(N)xU_R(N) symmetry, where N is the number of fermion flavors. We show, by treating the gauge interaction in the ladder approximation and four-fermion…

High Energy Physics - Theory · Physics 2009-10-31 Manuel Reenders

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

Nambu--Jona-Lasinio (NJL) model with Kobayashi-Maskawa-'t Hooft (KMT) term is one of low energy effective theory of QCD which includes the $U_A(1)$ anomaly. We investigate nonet meson properties in this model with three flavors of quarks.…

High Energy Physics - Phenomenology · Physics 2011-02-18 T. Inagaki , D. Kimura , H. Kohyama , A. Kvinikhidze

The present review gives a survey of recent developments and applications of the Nambu--Jona-Lasinio model with $N_f=2$ and $N_f=3$ quark flavors for the structure of baryons. The model is an effective chiral quark theory which incorporates…

High Energy Physics - Phenomenology · Physics 2009-10-28 Chr. V. Christov , A. Blotz , H. -C. Kim , P. Pobylitsa , T. Watabe , Th. Meissner , E. Ruiz Arriola , K. Goeke

We study the phase structure of the unpolarized and polarized two-flavor quark matters at zero and finite temperatures within the Nambu--Jona-Lasinio (NJL) model. We focus on the region, which includes the coexisting phase of…

High Energy Physics - Phenomenology · Physics 2007-09-17 M. Inui , H. Kohyama , A. Niégawa

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 suggest an effective quark model for low-lying baryon octet and decuplet motivated by QCD with a linearly rising confinement potential incorporating the extended Nambu-Jona-Lasinio (ENJL) model with linear realization of chiral U(3)XU(3)…

High Energy Physics - Phenomenology · Physics 2008-11-26 A . N. Ivanov , M. Nagy , N. I. Troitskaya

We investigate chemical-potential ($\mu$) and temperature ($T$) dependence of scalar and pseudo-scalar meson masses for both real and imaginary $\mu$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model with three-flavor…

High Energy Physics - Phenomenology · Physics 2011-01-18 Takeshi Matsumoto , Kouji Kashiwa , Hiroaki Kouno , Kagayaki Oda , Masanobu Yahiro

We discuss a Nambu--Jona-Lasinio (NJL) type quantum field theoretical approach to the quark matter equation of state with color superconductivity and construct hybrid star models on this basis. It has recently been demonstrated that with…

Nuclear Theory · Physics 2014-11-20 D. Blaschke , T. Klahn , R. Lastowiecki , F. Sandin

We investigate the effect of a background magnetic field when applied to a nonextensive QCD medium in a $2+1$ flavour Nambu\textemdash Jona-Lasinio model. The effect of a constant as well as an $eB$-dependent coupling is considered. For the…

High Energy Physics - Phenomenology · Physics 2024-05-28 Chowdhury Aminul Islam

We incorporate the effective restoration of $U(1)_{\rm A}$ symmetry in the 2+1 flavor entanglement Polyakov-loop extended Nambu--Jona-Lasinio (EPNJL) model by introducing a temperature-dependent strength $K(T)$ to the Kobayashi-Maskawa-'t…

High Energy Physics - Phenomenology · Physics 2016-01-13 Masahiro Ishii , Koji Yonemura , Junichi Takahashi , Hiroaki Kouno , Masanobu Yahiro

The separate quark flavour contributions to the pion and kaon valence quark distribution functions are studied, along with the corresponding electromagnetic form factors in the space-like region. The calculations are made using the solution…

Nuclear Theory · Physics 2016-09-07 Parada T. P. Hutauruk , Ian C. Cloet , Anthony W. Thomas

We investigate the influence of the allowed unphysical meson decay into a quark-antiquark pair of the three flavour Nambu--Jona-Lasinio (NJL) model on its parameter fixing. This decay manifests in a non-vanishing imaginary part of the…

High Energy Physics - Phenomenology · Physics 2022-01-27 Dominic Kraatz , Michel Stillger

In this paper, we study the pseudo-Wigner solution of the quark gap equation with a recently proposed algorithm in the framework of the (2+1)-flavor Nambu-Jona-Lasinio (NJL) model. We find that for the current quark mass $m_{\rm u,d}=5.5$…

High Energy Physics - Phenomenology · Physics 2019-04-17 Cheng-Ming Li , Pei-Lin Yin , Hong-Shi Zong

The flavor-mixing induced by the mismatched vector-isoscalar and vector-isovector interactions at finite baryon chemical potential $\mu$ and isospin chemical potential $\mu_I$ is demonstrated in the Nambu-Jona-Lasinio (NJL) type model of…

High Energy Physics - Phenomenology · Physics 2014-03-21 Zhao Zhang , Hai-Peng Su

We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value…

High Energy Physics - Phenomenology · Physics 2009-11-11 Boris A. Arbuzov , Mikhail K. Volkov , Ivan V. Zaitsev

We review the so called A-scaled Nambu-Jona-Lasinio model both in the vacuum and at finite temperature and density in the case of three flavors. Starting from QCD and integrating out the gluons, we show how to reintroduce some of their…

Nuclear Theory · Physics 2007-05-23 B. Van den Bossche

The combined effective low energy QCD Lagrangians of Nambu -- Jona-Lasinio (NJL) and 't Hooft are supplemented with eight-quark interactions. This work is a follow-up of recent findings, namely (i) the six quark flavour determinant 't Hooft…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin , Joao da Providencia
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