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We analyze the Nambu--Jona-Lasinio model which is a chiral effective model of QCD by using the non-perturbative renormalization group at finite temperature and finite density. We discuss the chiral phase diagram in the model. We include the…

High Energy Physics - Phenomenology · Physics 2018-12-21 Ken-Ichi Aoki , Daisuke Sato , Masatoshi Yamada

We investigate the role played by the Polyakov loop in the dynamics of the chiral phase transition in the framework of the so-called PNJL model in the SU(2)sector. We present the phase diagram where the inclusion of the Polyakov loop moves…

High Energy Physics - Phenomenology · Physics 2009-08-03 Pedro Costa , C. A. de Sousa , M. C. Ruivo , H. Hansen

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…

High Energy Physics - Phenomenology · Physics 2020-12-17 Zheng Zhang , Chao Shi , Xiao-Tao He , Xiaofeng Luo , Hong-Shi Zong

We employ a simple effective model to study the chiral dynamics of two flavors of quarks at finite temperature and density. In particular, we determine the phase diagram in the plane of temperature and baryon chemical potential as a…

Nuclear Theory · Physics 2010-04-15 E. Scott Bowman , Joseph I. Kapusta

In the frame of flavor SU(2) Nambu--Jona-Lasinio model with $U_A(1)$ breaking term we found that, the structure of two chiral phase transition lines does not exist at low isospin density in real world, and the critical isospin chemical…

High Energy Physics - Phenomenology · Physics 2010-11-05 Lianyi He , Pengfei Zhuang

In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, $\mu_5$, by means of a nonlocal Nambu-Jona-Lasinio model. This model allows to introduce in the simplest way…

High Energy Physics - Phenomenology · Physics 2016-11-23 M. Ruggieri , G. X. Peng

We investigate color superconductivity and chiral symmetry restoration at finite temperature and baryon density in the frame of standard two flavor Nambu--Jona-Lasinio model. We derive the diquark mass in RPA, discuss its constraint on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pengfei Zhuang

We investigate the effect of the electric-charge neutrality in $\beta$ equilibrium on the chiral phase transition by solving the chiral and diquark condensates in the two-flavor Nambu--Jona-Lasinio model. We demonstrate that the…

High Energy Physics - Phenomenology · Physics 2009-01-16 Zhao Zhang , Kenji Fukushima , Teiji Kunihiro

The formalism of Riemannian geometry is applied to study the phase transitions in Nambu -Jona Lasinio (NJL) model. Thermodynamic geometry reliably describes the phase diagram, both in the chiral limit and for finite quark masses. The…

Nuclear Theory · Physics 2020-12-16 P. Castorina , D. Lanteri , S. Mancani

The phase diagram for quark matter is investigated within a simple Nambu-Jona-Lasinio model without vector correlations. It is found that the phase structure in the temperature-density plane depends sensitively on the parametrization of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Blaschke , M. K. Volkov , V. L. Yudichev

We discuss the phase structure (in the $1/N$-expansion) of the Nambu-Jona-Lasinio model in curved spacetime with non-trivial topology ${\cal M}^3 \times {\rm S}^1$. The evaluation of the effective potential of the composite field…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Leseduarte , S. D. Odintsov

The thermodynamics of a first-order chiral phase transition is considered in the presence of spinodal phase separation using the Nambu-Jona-Lasinio model in the mean field approximation. We focus on the behavior of conserved charge…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

Based on the analogy between the Nambu--Jona-Lasinio model of chiral symmetry breaking and the BCS theory of superconductivity, we investigate the effect of $\bar q q$ pair fluctuations on the chiral phase transition. We include uncondensed…

High Energy Physics - Phenomenology · Physics 2007-09-19 Lianyi He , Pengfei Zhuang

With the exception of confinement the three-dimensional Nambu-Jona-Lasinio (NJL_3) model incorporates many of the essential properties of QCD. We discuss the critical properties of the model at nonzero temperature T and/or nonzero chemical…

High Energy Physics - Lattice · Physics 2009-11-07 Costas G. Strouthos

We investigate the phase structure of the Nambu--Jona-Lasinio model at zero temperature, allowing for a two-dimensional spatial dependence of the chiral condensate. Applying the mean-field approximation, we consider various periodic…

High Energy Physics - Phenomenology · Physics 2015-06-04 Stefano Carignano , Michael Buballa

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

The phase structure of two-flavor QCD is explored for thermal systems with finite baryon- and isospin-chemical potentials, mu_B and mu_{iso}, by using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. The PNJL model with the…

High Energy Physics - Phenomenology · Physics 2010-12-24 Takahiro Sasaki , Yuji Sakai , Hiroaki Kouno , Masanobu Yahiro

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…

High Energy Physics - Phenomenology · Physics 2016-12-14 M. Ruggieri , Z. Y. Lu , G. X. Peng

It is shown that in the Nambu -- Jona - Lasinio model at nonzero chemical potential there are two different massive phases with spontaneously broken chiral symmetry. In one of them particle density is identically zero, in another phase it…

High Energy Physics - Phenomenology · Physics 2009-10-30 K. G. Klimenko , A. S. Vshivtsev

An extended chiral SU(3) model is applied to the description of dense, hot and strange hadronic matter. The degrees of freedom are the baryon octet and decuplet and the spin-0 and spin-1 meson multiplets. The parameters of the model are…