scholarly journals EFFECTS OF MODEL PARAMETERS IN THERMODYNAMICS OF THE PNJL MODEL

2012 ◽  
Vol 27 (03n04) ◽  
pp. 1250013 ◽  
Author(s):  
A. V. FRIESEN ◽  
YU. L. KALINOVSKY ◽  
V. D. TONEEV
Keyword(s):  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Effective Potential ◽  
Chemical Potential ◽  
Dense Matter ◽  
Polyakov Loop ◽  
Model Parameters ◽  
Lattice Data ◽  
Data Set ◽  
Pnjl Model

The thermodynamic behavior of the two-flavor (Nf = 2) three-color (Nc = 3) Polyakov-loop-extended Nambu–Jona-Lasinio (PNJL) model at the finite chemical potential is investigated. New lattice gluon data for gluon thermodynamics are used defining the effective potential within polynomial and logarithmic forms of its approximation. We study the effects of using different sets of data and different forms of the potential on thermodynamic properties of hot and dense matter. It is found that the PNJL thermodynamics depends stronger on the form of the effective potential than on the used lattice data set. Particular attention is paid to the phase diagram in the (T, μ) plane.

scholarly journals Spectrum of QCD at Finite Isospin Density

2018 ◽  
Vol 175 ◽  
pp. 07042 ◽  
Author(s):  
Philipp Scior ◽  
Lorenz von Smekal ◽  
Dominik Smith
Keyword(s):  
Phase Diagram ◽  
Low Temperature ◽  
Temperature Region ◽  
Chemical Potential ◽  
Phase Diagram Of Qcd ◽  
Baryon Density ◽  
Polyakov Loop ◽  
High Chemical ◽  
Pion Condensation

We study the phase diagram of QCD at finite isospin density using two flavors of staggered quarks. We investigate the low temperature region of the phase diagram where we find a pion condensation phase at high chemical potential. We started a basic analysis of the spectrum at finite isospin density. In particular, we measured pion, rho and nucleon masses inside and outside of the pion condensation phase. In agreement with previous studies in two-color QCD at finite baryon density we find that the Polyakov loop does not depend on the density in the staggered formulation.

scholarly journals Importance of Imaginary Chemical Potential for QCD Phase Diagram in the PNJL Model

2010 ◽  
Vol 186 ◽  
pp. 540-544
Author(s):  
Kouji Kashiwa ◽  
Hiroaki Kouno ◽  
Takeshi Matsumoto ◽  
Yuji Sakai ◽  
Masanobu Yahiro
Keyword(s):  
Phase Diagram ◽  
Chemical Potential ◽  
Qcd Phase Diagram ◽  
Pnjl Model

scholarly journals QCD Phase Diagram in a Nonlocal SU(3) NJL Model with Lattice-Inspired Form Factors

2017 ◽  
Vol 45 ◽  
pp. 1760056
Author(s):  
María Florencia Izzo Villafañe ◽  
Juan Pablo Carlomagno ◽  
Daniel Gómez Dumm ◽  
Norberto N. Scoccola
Keyword(s):  
Phase Diagram ◽  
Lattice Qcd ◽  
Quark Model ◽  
Chemical Potential ◽  
Form Factors ◽  
Model Parameters ◽  
Nonzero Temperature ◽  
Qcd Phase Diagram ◽  
Njl Model

We study the QCD phase diagram in the framework of a nonlocal three-flavor quark model. We determine the model parameters from vacuum meson phenomenology, considering lattice QCD-inspired nonlocal form factors. Then we analyze the features of the deconfinement and chiral restoration transitions for systems at nonzero temperature and chemical potential.

QCD phase diagram with the improved Polyakov loop effective potential

2016 ◽  
Vol 27 (6) ◽  
Author(s):  
Guo-Yun Shao ◽  
Xue-Yan Gao ◽  
Zhan-Duo Tang ◽  
Ning Gao
Keyword(s):  
Phase Diagram ◽  
Effective Potential ◽  
Polyakov Loop ◽  
Qcd Phase Diagram

scholarly journals MESONIC CORRELATION FUNCTIONS AT FINITE TEMPERATURE AND DENSITY IN THE NAMBU–JONA–LASINIO MODEL WITH A POLYAKOV LOOP

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2249-2255
Author(s):  
HUBERT HANSEN
Keyword(s):  
Chiral Symmetry ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Goldstone Boson ◽  
Polyakov Loop ◽  
Scalar Mesons ◽  
Njl Model ◽  
Pnjl Model ◽  
Pseudo Scalar

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 account features of both chiral symmetry breaking and deconfinement. In the phase of broken chiral symmetry a narrower width for the σ meson is obtained with respect to the NJL case; on the other hand, the pion still behaves as a Goldstone boson.

scholarly journals Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED

2015 ◽  
Vol 30 (12) ◽  
pp. 1550060 ◽  
Author(s):  
V. D. Orlovsky ◽  
Yu. A. Simonov
Keyword(s):  
Magnetic Susceptibility ◽  
Closed Form ◽  
Relativistic Electron ◽  
Chemical Potential ◽  
Electron Gas ◽  
Polyakov Loop ◽  
Lattice Data ◽  
Exact Answer ◽  
Good Agreement

Magnetic susceptibility of the quark and electron gas is calculated in a closed form for any chemical potential μ summing the whole Matsubara series. For the quark gas and small μ≪T a strong rise with T is found due to Polyakov loop factors L(T), in good agreement with lattice data. For the electron gas the lowest Matsubara term (n = 1) contributes 40% larger than the exact answer. In the case of small T, [Formula: see text], the oscillations as functions of eB occur, characteristic of the de Haas–van Alphen effect. Results are compared with available lattice data and with the case of relativistic electron gas, which obtains putting L(T)≡1.

scholarly journals THERMODYNAMIC POTENTIAL WITH CORRECT ASYMPTOTICS FOR PNJL MODEL

2012 ◽  
Vol 27 (11) ◽  
pp. 1250060 ◽  
Author(s):  
J. MOREIRA ◽  
B. HILLER ◽  
A. A. OSIPOV ◽  
A. H. BLIN
Keyword(s):  
Finite Temperature ◽  
Thermodynamic Potential ◽  
Chemical Potential ◽  
Thermodynamic Characteristics ◽  
Polyakov Loop ◽  
Pnjl Model ◽  
Villars Regularization ◽  
Boltzmann Law ◽  
Extremum Conditions ◽  
Sharp Cutoff

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 argued that the most attractive resolution of these incongruities is the possibility to obtain the thermodynamic potential directly from the corresponding extremum conditions (gap equations) by integrating them, an integration constant being fixed in accordance with the Stefan–Boltzmann law. The advantage of the approach is that the regulator is kept finite both in divergent and finite valued integrals at finite temperature and chemical potential. The Pauli–Villars regularization is used, although a standard 3D sharp cutoff can be applied as well.

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