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The average phase factor of the QCD determinant is evaluated at finite quark chemical potential ({\mu}_q) with the two-flavor version of the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with the scalar-type eight-quark…

High Energy Physics - Phenomenology · Physics 2010-12-13 Yuji Sakai , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

NJL-type effective models represent a low-energy realization of QCD and incorporate pertinent aspects such as chiral symmetry and its spontaneous breaking, the center symmetry in the heavy-quark limit as well as the axial anomaly. One such…

High Energy Physics - Phenomenology · Physics 2010-11-01 Jochen Wambach , Bernd-Jochen Schaefer , Mathias Wagner

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

Recent consensus on the $N_f=2+1$ equation of state at vanishing chemical potential from different lattice-QCD groups has spoiled the previous agreement with the outcome from the mean-field Polyakov-Nambu-Jona-Lasinio model. In this letter…

Nuclear Theory · Physics 2017-04-28 Juan M. Torres-Rincon , Joerg Aichelin

The Nambu-Jona-Lasinio (NJL) model has been widely studied for investigating the chiral phase structure of strongly interacting matter. The study of the thermodynamics of field theories within the framework of Lattice Field Theory is…

High Energy Physics - Phenomenology · Physics 2022-12-06 Alexander M. Czajka , Zhong-Bo Kang , Henry Ma , Fanyi Zhao

Phase transitions in the imaginary chemical potential region are studied by the Polyakov loop extended Nambu-Jona-Lasinio (PNJL) model that possesses the extended Z3 symmetry. The extended Z3 invariant quantities such as the partition…

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

Using the 2+1 flavor Nambu--Jona-Lasinio (NJL) model with the Polyakov loop, we determine the structure of the QCD phase diagram in an external magnetic field. Beyond the usual NJL model with constant couplings, we also consider a variant…

High Energy Physics - Phenomenology · Physics 2017-12-25 Márcio Ferreira , Pedro Costa , Constança Providência

The first-principle approach to the dense state of QCD matter, i.e. the lattice-QCD simulation at finite baryon density, is not under theoretical control for the moment. The effective model study based on QCD symmetries is a practical…

High Energy Physics - Phenomenology · Physics 2015-05-19 Kenji Fukushima

We study properties of two-color QCD at imaginary chemical potential ($\mu$) from the viewpoint of the Roberge-Weiss (RW) periodicity, the charge conjugation and the pseudo-reality. At $\mu=\pm i\pi T/2$, where $T$ is temperature, the…

High Energy Physics - Phenomenology · Physics 2013-01-29 Kouji Kashiwa , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We clarify regions where the canonical approach works well at the finite temperature and density in the Nambu-Jona-Lasinio (NJL) and Polyakov-NJL (PNJL) models. The canonical approach is a useful method for avoiding the sign problem in…

High Energy Physics - Phenomenology · Physics 2020-09-02 Masayuki Wakayama , Seung-il Nam , Atsushi Hosaka

The QCD phase diagram is studied in the lattice QCD simulation with the imaginary chemical potential approach. We employ a clover-improved Wilson fermion action of two-flavors and a renormalization-group improved gauge action, and perform…

High Energy Physics - Lattice · Physics 2011-07-04 Keitaro Nagata , Atsushi Nakamura

We have investigated the fluctuations and the higher order susceptibilities of quark number, isospin number, electric charge and strangeness at vanishing chemical potential for 2+1 flavor Polyakov loop extended Nambu--Jona-Lasinio model.…

High Energy Physics - Phenomenology · Physics 2011-02-02 Abhijit Bhattacharyya , Paramita Deb , Anirban Lahiri , Rajarshi Ray

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

Motivated by lattice QCD studies we investigate the RW transition endpoint at imaginary chemical potential in a two-flavor PNJL model. We focus on the quark-mass dependence of the endpoint using different forms of the Polyakov-loop…

High Energy Physics - Phenomenology · Physics 2011-11-17 David Scheffler , Michael Buballa , Jochen Wambach

In this talk I compare the knowledge on the critical end point of the QCD phase diagram grasped from lattice calculations, with that obtained from Nambu--Jona-Lasinio (NJL) model computations. The original publication is available at…

High Energy Physics - Phenomenology · Physics 2014-11-20 Marco Ruggieri

We report our recent results on the QCD phase diagram obtained from the lattice QCD simulation. The location of the phase boundary between hadronic and QGP phases in the two-flavor QCD phase diagram is investigated. The imaginary chemical…

High Energy Physics - Lattice · Physics 2015-05-30 Keitaro Nagata , Atsushi Nakamura

QCD thermodynamics is investigated by means of the Polyakov-loop-extended Nambu Jona-Lasinio (PNJL) model, in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field representing Polyakov loop…

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

The responses of quark condensates to the chemical potential, as a function of temperature T and chemical potential \mu, are calculated within the Nambu--Jona-Lasinio (NJL) model. We compare our results with those from the recent lattice…

High Energy Physics - Lattice · Physics 2011-04-20 O. Miyamura , S. Choe , Y. Liu , T. Takaishi , A. Nakamura

QCD thermodynamics is studied using a model which combines Polyakov loop dynamics with spontaneous chiral symmetry breaking and its restoration (the PNJL model). The input is fixed entirely by pure-gauge lattice QCD results and by pion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfram Weise , Claudia Ratti , Simon Roessner

We extend the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model by introducing an effective four-quark vertex depending on Polyakov loop. The effective vertex generates entanglement interactions between Polyakov loop and chiral…

High Energy Physics - Phenomenology · Physics 2014-11-21 Yuji Sakai , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro