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Based on the three-flavor Polyakov-looped Nambu$-$Jona-Lasinio (pNJL) model, we have studied the structure of the three-dimensional QCD phase diagram with respect to the temperature, the baryon chemical potential, and the isospin chemical…

High Energy Physics - Phenomenology · Physics 2024-02-06 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

With the isovector coupling constants adjusted to reproduce the physical pion mass and lattice QCD results in baryon-free quark matter, we have carried out rigourous calculations for the pion condensate in the 3-flavor Nambu-Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2021-10-13 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

Lattice QCD has the sign problem at real quark chemical potential. There are some regions with no sign problem; one is the imaginary quark chemical potential region and the others are the real and imaginary isospin chemical potential…

High Energy Physics - Phenomenology · Physics 2011-03-18 Yuji Sakai , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

With the aim of setting constraints for the modeling of the QCD phase diagram, the phase structure of the two-flavor Polyakov-loop extended Nambu and Jona-Lasinio (PNJL) model is investigated in the range of imaginary chemical potentials…

High Energy Physics - Phenomenology · Physics 2011-09-27 Kouji Kashiwa , Thomas Hell , Wolfram Weise

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 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 investigate the phase structure of two-color QCD at both real and imaginary chemical potentials mu, performing lattice simulations and analyzing the data with the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. Lattice QCD…

We study the phases of a two-flavor Nambu-Jona-Lasinio model at finite temperature $T$, baryon and isospin chemical potentials: $\mu_{B}=(\mu_{u}+\mu_{d})/2$, $\mu_{I}=(\mu_{u}-\mu_{d})/2$. This study completes a previous analysis where…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Barducci , R. Casalbuoni , G. Pettini , L. Ravagli

We have extended the Polyakov-Nambu-Jona-Lasinio (PNJL) model for two degenerate flavours to include the isospin chemical potential ($\mu_I$). All the diagonal and mixed derivatives of pressure with respect to the quark number (proportional…

High Energy Physics - Phenomenology · Physics 2008-11-26 Swagato Mukherjee , Munshi G. Mustafa , Rajarshi Ray

We use the Nambu--Jona-Lasinio model to study the effects of the isospin chemical potential on the QCD phase diagram at nonzero temperature and baryon chemical potential. We find that the phase diagram is qualitatively altered by a small…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Toublan , J. B. Kogut

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

We introduce a random matrix model with the symmetries of QCD at finite temperature and chemical potentials for baryon number and isospin. We analyze the phase diagram of this model in the chemical potential plane for different temperatures…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Klein , D. Toublan , J. J. M. Verbaarschot

Neither the chiral limit nor finite baryon density can be simulated directly in lattice QCD, which severely limits our understanding of the QCD phase diagram. In this review I collect results for the phase structure in an extended parameter…

High Energy Physics - Lattice · Physics 2019-12-11 Owe Philipsen

We analyze the features of strongly interacting matter in the presence of nonzero isospin chemical potential $\mu_I$, within a nonlocal two-flavor Polyakov-Nambu-Jona-Lasinio (PNJL) model. For a system at finite temperature $T$, we describe…

High Energy Physics - Phenomenology · Physics 2021-10-27 J. P. Carlomagno , D. Gomez Dumm , N. N. Scoccola

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

We use 2-color QCD as a model to study the effects of simultaneous presence of chemical potentials for isospin charge, $\mu_I$, and for baryon number, $\mu_B$. We determine the phase diagrams for 2 and 4 flavor theories using the method of…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Splittorff , D. T. Son , M. A. Stephanov

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

We use an effective QCD model (ladder-QCD) to explore the phase diagram for chiral symmetry breaking and restoration at finite temperature with different $u,d$ quark chemical potentials. In agreement with a recent investigation based on the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Barducci , R. Casalbuoni , G. Pettini , L. Ravagli

We introduce a random matrix model with the symmetries of QCD with two colors at nonzero isospin and baryon chemical potentials and temperature. We analyze its phase diagram and find phases with condensation of pion and diquark states in…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Klein , D. Toublan , J. J. M. Verbaarschot

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
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