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In this review article, we give overview on the extended chiral quark models. In particular, how these models are extended to include the higher-order interactions, quantized fields, logarithmic potential and the effect of these…

核理论 · 物理学 2017-07-26 M. Abu-Shady

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…

高能物理 - 唯象学 · 物理学 2012-01-31 Marco Frasca

Quark number susceptibilities at finite quark chemical potential are investigated in the framework of the Polyakov-loop-extended Nambu Jona-Lasinio (PNJL) model. A detailed comparison is performed between the available lattice data,…

高能物理 - 唯象学 · 物理学 2008-11-26 Claudia Ratti , Simon Roessner , Wolfram Weise

We investigate the dynamical chiral symmetry breaking (DCSB) and superconductivity in a supersymmetric model at finite temperature and density. We employ the ${\cal N}=1$ four-dimensional generalized supersymmetric Nambu$-$Jona-Lasinio…

高能物理 - 唯象学 · 物理学 2008-11-26 Tadafumi Ohsaku

We review the implementation of a q-deformed fermionic algebra in the Nambu--Jona-Lasinio model (NJL). The gap equations obtained from a deformed condensate as well as from the deformation of the NJL Hamiltonian are discussed. The effect of…

核理论 · 物理学 2007-05-23 V. S. Timoteo , C. L. Lima

To describe the chiral magnetic effect, the chiral chemical potential $\mu_5$ is introduced to imitate the impact of topological charge changing transitions in the quark-gluon plasma under the influence of an external magnetic field. We…

高能物理 - 唯象学 · 物理学 2022-10-07 Alexander M. Czajka , Zhong-Bo Kang , Yuxuan Tee , Fanyi Zhao

The phase diagram of the two-dimensional Nambu-Jona-Lasinio (or chiral Gross-Neveu) model is characterized by an order parameter in the form of a chiral spiral. Its radius vanishes at a critical temperature, its period depends only on the…

高能物理 - 理论 · 物理学 2018-12-05 Michael Thies

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…

高能物理 - 唯象学 · 物理学 2011-07-26 Bhaswar Chatterjee , Hiranmaya Mishra , Amruta Mishra

We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop (PNJL model) in the presence of a strong magnetic field and a chiral chemical potential $\mu_5$ which mimics the effect of imbalanced chirality due to QCD instanton…

高能物理 - 唯象学 · 物理学 2014-11-20 Kenji Fukushima , Marco Ruggieri , Raoul Gatto

We study the chiral phase transition at finite $T$ and $\mu_B$ within the framework of the SU(3) Nambu-Jona-Lasinio (NJL) model. The QCD critical end point (CEP) and the critical line at finite temperature and baryonic chemical potential…

高能物理 - 唯象学 · 物理学 2008-11-26 Pedro Costa , C. A. de Sousa , M. C. Ruivo , Yu. L. Kalinovsky

QCD-based thermodynamics at zero and finite quark chemical potential is studied using an extended Nambu and Jona-Lasinio approach in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field…

核理论 · 物理学 2007-05-23 Claudia Ratti , Michael A. Thaler , Wolfram Weise

In this paper we develop a new method that is different from Schwinger proper time method to deduce the fermion propagator with a constant external magnetic field. In the NJL model, we use this method to find out the gap equation at zero…

高能物理 - 唯象学 · 物理学 2015-03-03 Song Shi , You-Chang Yang , Yong-Hui Xia , Zhu-Fang Cui , Xiao-Jun Liu , Hong-Shi Zong

We derive a non-local Nambu-Jona-Lasinio model from QCD with a form factor exactly obtained in the infrared limit. With this model, having all the parameters properly fixed through those of QCD, we consider the case of finite temperature…

高能物理 - 唯象学 · 物理学 2015-03-19 Marco Frasca

We study the chiral phase transition of the two flavor Nambu-Jona-Lasinio (NJL) model in a sphere with the MIT boundary condition. We find that the MIT boundary condition results in much stronger finite size effects than the antiperiodic…

高能物理 - 唯象学 · 物理学 2020-02-19 Zheng Zhang , Chao Shi , Hongshi Zong

We compute the magnetic susceptibility of the quark condensate and the polarization of quarks at zero temperature and in a uniform magnetic background. Our theoretical framework consists of two chiral models that allow to treat…

高能物理 - 唯象学 · 物理学 2011-07-06 Marco Frasca , Marco Ruggieri

We study the influence of external electric, $E$, and magnetic, $B$, fields parallel to each other, and of a chiral chemical potential, $\mu_5$, on the chiral phase transition of Quantum Chromodynamics. Our theoretical framework is a…

高能物理 - 唯象学 · 物理学 2016-12-14 M. Ruggieri , Z. Y. Lu , G. X. Peng

In an effort to investigate some of the low energy properties of QCD, in particular those related to chiral symmetry breaking, as well as to obtain insights on the behavior of an interacting theory of fermions on the lattice, the two flavor…

高能物理 - 格点 · 物理学 2011-07-19 K. M. Bitar , P. M. Vranas

We study the chiral phase transition inside a rotating cylinder within the framework of the Namb--Jona-Lasinio model. A spectral boundary condition is imposed to avoid faster than light. We investigate how the geometry of the cylinder and…

高能物理 - 唯象学 · 物理学 2020-12-17 Zheng Zhang , Chao Shi , Xiao-Tao He , Xiaofeng Luo , Hong-Shi Zong

The effective restoration of chiral and axial symmetries is investigated within the framework of the SU(3) Nambu-Jona-Lasinio model. The topological susceptibility, modeled from lattice data at finite temperature, is used to extract the…

高能物理 - 唯象学 · 物理学 2007-05-23 M. C. Ruivo , Pedro Costa , C. A. de Sousa , Yu. L. Kalinovsky

Using the renormalization group (RG) approach and the equivalency between the class of gauge-Higgs-Yukawa models and the gauged Nambu-Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behaviour of the…

高能物理 - 理论 · 物理学 2009-09-17 B. Geyer , S. D. Odintsov