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The Monte-Carlo method is applied to the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. This leads beyond the saddle-point approximation in a mean-field calculation and introduces fluctuations around the mean fields. We study the…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. Cristoforetti , T. Hell , B. Klein , W. Weise

We extend the Polyakov-loop improved Nambu--Jona-Lasinio (PNJL) model to 2+1 flavor case to study the chiral and deconfinement transitions of strongly interacting matter at finite temperature and nonzero chemical potential. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei-jie Fu , Zhao Zhang , Yu-xin Liu

We test the reliability of the the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, comparing the model result with the lattice data at nonzero imaginary chemical potential. The PNJL model with the vector-type four-quark and…

High Energy Physics - Phenomenology · Physics 2009-08-21 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masayuki Matsuzaki , Masanobu Yahiro

An updated version of the PNJL model is used to study the thermodynamics of N_f = 2 quark flavors interacting through chiral four-point couplings and propagating in a homogeneous Polyakov loop background. Previous PNJL calculations are…

High Energy Physics - Phenomenology · Physics 2010-04-06 Simon Roessner , Claudia Ratti , Wolfram Weise

We investigate QCD matter using the two-flavor PNJL model and find that the shear viscosity to entropy density ratio {\eta}/s reaches a minimum while the bulk viscosity {\zeta}/s peaks near the chiral crossover line, particularly at large…

General Physics · Physics 2025-04-29 Jingxu Wu , Yuwei Yin , Jianing Shi

The confinement/deconfinement transition described the Polyakov-Nambu-Jona-Lasinio (PNJL) model is extended to be operative at zero temperature regime. In this study, the scalar and vector channel interaction strengths of the original PNJL…

High Energy Physics - Phenomenology · Physics 2021-01-20 Odilon A. Mattos , Tobias Frederico , Odilon Lourenço

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

The mesonic excitations and s-wave pi--pi scattering lengths at finite temperature are studied in the two-flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model. The masses of pi-meson and sigma-meson, pion-decay constant, the pion-quark…

High Energy Physics - Phenomenology · Physics 2014-11-18 Wei-jie Fu , Yu-xin Liu

The phase structure of Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model is explored at imaginary chemical potential, with particular emphasis on the deconfinement transition. We point out that the statistical confinement nature of the…

High Energy Physics - Phenomenology · Physics 2011-11-21 Kenji Morita , Vladimir Skokov , Bengt Friman , Krzysztof Redlich

For temperatures $T$ ranging from a few MeV up to TeV and energy density $\rho$ up to $10^{16}~$GeV/fm$^3$, the bulk viscosity $\zeta$ is calculated in non-perturbation (up, down, strange, charm, and bottom) and perturbation theories with…

High Energy Physics - Phenomenology · Physics 2021-10-06 Abdel Nasser Tawfik , Carsten Greiner

The thermodynamic behavior of the two-flavor($N_f=$2) three-color ($N_c=3$) Polyakov-loop-extended Nambu-Jona-Lasinio model at the finite chemical potential is investigated. New lattice gluon data for gluon thermodynamics are used defining…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. F. Friesen , Yu. K. Kalinovsky , V. D. Toneev

The Polyakov loop extended Nambu--Jona-Lasinio (PNJL) model with imaginary chemical potential is studied. The model possesses the extended ${\mathbb Z}_{3}$ symmetry that QCD does. Quantities invariant under the extended ${\mathbb Z}_{3}$…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masanobu Yahiro

An attempt is made to resolve certain incongruities within the Nambu - Jona-Lasinio (NJL) and Polyakov loop extended NJL models (PNJL) which currently are used to extract the thermodynamic characteristics of the quark-gluon system. It is…

High Energy Physics - Phenomenology · Physics 2012-04-18 J. Moreira , B. Hiller , A. A. Osipov , A. H. Blin

We calculate two transport coefficients -- the shear viscosity over entropy ratio $\eta/s$ and the ratio of the electric conductivity to the temperature $\sigma_0/T$ -- of strongly interacting quark matter within the extended $N_f=3$…

Nuclear Theory · Physics 2021-05-12 Olga Soloveva , David Fuseau , Jörg Aichelin , Elena Bratkovskaya

We discuss the net quark and isovector fluctuations as well as off-diagonal quark flavor susceptibilities along the chiral phase transition line in the Nambu--Jona-Lasinio (NJL) model. The model is formulated at non-zero quark and isospin…

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

A nonlocal covariant extension of the two-flavor Nambu and Jona-Lasinio (NJL) model is constructed, with built-in constraints from the running coupling of QCD at high-momentum and instanton physics at low-momentum scales. Chiral low-energy…

High Energy Physics - Phenomenology · Physics 2010-04-15 T. Hell , S. Roessner , M. Cristoforetti , W. Weise

We study the $T {-} {\mu}$ phase diagram of quark matter under the influence of a strong uniform magnetic field in the framework of a nonlocal extension of the Polyakov Nambu Jona Lasinio model (PNJL). The existence of a critical end point…

High Energy Physics - Phenomenology · Physics 2023-10-10 J. P. Carlomagno , S. A. Ferraris , D. Gómez Dumm , A. G. Grunfeld

Recent years have seen extensive applications of the Nambu--Jona-Lasinio (NJL) model in the study of matter at high density. There is a good deal of interest in the predictions of diquark condensation and color superconductivity, with…

High Energy Physics - Phenomenology · Physics 2010-11-15 Hu Li , C. M. Shakin

The chiral condensate and dressed Polyakov loop at finite temperature and density have been investigated in the framework of Nf = 2+1 Nambu-Jona-Lasinio (NJL) model with two degenerate u, d quarks and one strange quark. In the case of…

High Energy Physics - Phenomenology · Physics 2015-05-27 Fukun Xu , Hong Mao , Tamal K. Mukherjee , Mei Huang

We investigate three-colour QCD thermodynamics at finite quark chemical potential. Lattice QCD results are compared with a generalized Nambu Jona-Lasinio model in which quarks couple simultaneously to the chiral condensate and to a…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Ratti , M. A. Thaler , W. Weise