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The phase transitions characterized by deconfinement and restoration of chiral symmetry as well as the restoration of axial symmetry, at finite temperature, are investigated in the framework of SU(2) Polyakov-Nambu-Jona-Lasinio (PNJL)…

High Energy Physics - Phenomenology · Physics 2015-08-10 M. C. Ruivo , Pedro Costa , C. A. de Sousa

We study the large-N_c behavior of the critical temperature T_c for chiral symmetry restoration in the framework of the Nambu-Jona-Lasinio (NJL) model and the linear \sigma-model. While in the NJL case T_c scales as N_c^0 and is, as…

High Energy Physics - Phenomenology · Physics 2013-05-30 Achim Heinz , Francesco Giacosa , Dirk H. Rischke

Dual meson condensates as possible order parameters for deconfinement are investigated in a Polyakov-loop enhanced linear sigma model of QCD at both zero and finite isospin chemical potential $\mu_I$. We find that the rapid rise of the dual…

High Energy Physics - Phenomenology · Physics 2021-03-03 Zhao Zhang , Haipeng Lu

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

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

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

We study the beahviour of the dual quark condensate $\Sigma_1$ in the Nambu-Jona-Lasinio (NJL) model and its nonlocal variant. In quantum chromodynamics $\Sigma_1$ can be realted to the breaking of the center symmetry and is therefore an…

Nuclear Theory · Physics 2015-04-28 Federico Marquez , Aftab Ahmad , Michael Buballa , Alfredo Raya

We show that the magnitude of the order parameters in Polyakov-Nambu-Jona-Lasinio (PNJL) model, given by the quark condensate and the Polyakov loop, can be used as a criterium to clearly identify, without ambiguities, phases and boundaries…

High Energy Physics - Phenomenology · Physics 2014-06-26 M. Dutra , O. Lourenço , A. Delfino , T. Frederico , M. Malheiro

We discuss the isentropic trajectories on the QCD phase diagram in the temperature and the quark chemical potential plane using the Nambu--Jona-Lasinio model with the Polyakov loop coupling (PNJL model). We impose a constraint on the…

High Energy Physics - Phenomenology · Physics 2010-04-14 Kenji Fukushima

Understanding the character of the deconfinement phase transition is one of the fundamental challenges in particle physics. In this work, we derive a formula for the expectation value of the Polyakov loop -- the order parameter of the…

High Energy Physics - Phenomenology · Physics 2025-06-17 Bing-Kai Sheng , Yong-Liang Ma

We discuss the 2+1 flavor Polyakov loop enhanced Nambu--Jona-Lasinio model in a finite volume. The main objective is to check the volume scaling of thermodynamic observables for various temperatures and chemical potentials. We observe the…

High Energy Physics - Phenomenology · Physics 2017-01-31 Abhijit Bhattacharyya , Sanjay K. Ghosh , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya

We consider a two flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model where the Lagrangian includes an interaction term that explicitly breaks the U$_A(1)$ anomaly. At finite temperature, the restoration of chiral and axial symmetries,…

High Energy Physics - Phenomenology · Physics 2012-02-21 M. C. Ruivo , M. Santos , Pedro Costa , C. A. de Sousa

The deconfinement and chiral phase transitions are studied in the context of the electrized quark matter at finite temperature in the two-flavor Polyakov-Nambu--Jona-Lasinio model. Using the mean field approximation and an electric field…

High Energy Physics - Phenomenology · Physics 2020-02-14 William R. Tavares , Ricardo L. S. Farias , Sidney S. Avancini

We investigate the properties of scalar and pseudo-scalar mesons at finite temperature and quark chemical potential in the framework of the Nambu-Jona-Lasinio (NJL) model coupled to the Polyakov loop (PNJL model) with the aim of taking into…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Hansen , W. M. Alberico , A. Beraudo , A. Molinari , M. Nardi , C. Ratti

The Nambu Jona-Lasinio model with a Polyakov loop is extended to finite isospin chemical potential case, which is characterized by simultaneous coupling of pion condensate, chiral condensate and Polyakov loop. The pion condensate, chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhao Zhang , Yu-Xin Liu

We investigate the phase diagram of the so-called Polyakov--Nambu--Jona-Lasinio model at finite temperature and non-zero chemical potential with three quark flavors. Chiral and deconfinement phase transitions are discussed and the relevant…

High Energy Physics - Phenomenology · Physics 2014-11-21 Pedro Costa , M. C. Ruivo , C. A. de Sousa , H. Hansen

The effects of the Polyakov loop and of a regularization procedure that allows the presence of high momentum quark states at finite temperature is investigated within the Polyakov-loop extended Nambu--Jona-Lasinio model. The characteristic…

High Energy Physics - Phenomenology · Physics 2010-09-17 M. C. Ruivo , Pedro Costa , C. A. de Sousa , H. Hansen , W. M. Alberico

Temperature dependence of the quark condensate is studied in the Nambu--Jona-Lasinio model with meson loops. Substantial differences are found compared to the results with quark loops only.

High Energy Physics - Phenomenology · Physics 2009-10-28 Wojciech Florkowski , Wojciech Broniowski

We couple the two-flavor Nambu--Jona-Lasinio model to a gluonic background corresponding to the gauge-field expectation value in the center-symmetric Landau gauge. Low-energy features in this gauge are captured by a center-symmetric…

High Energy Physics - Phenomenology · Physics 2026-01-23 V. Tomas Mari Surkau , Urko Reinosa

We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kahara , K. Tuominen