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.

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 On the Question of the Problems of Statistical Calculations of the Conducting Crystals Thermodynamic and Kinetic Properties

2019 ◽  
Vol 20 (4) ◽  
pp. 345-353
Author(s):  
Ya.S. Budzhak ◽  
T. Wacławski
Keyword(s):  
Equilibrium State ◽  
Thermodynamic Equilibrium ◽  
Thermodynamic Potential ◽  
Chemical Potential ◽  
Thermodynamic Characteristics ◽  
Kinetic Properties ◽  
Elementary Model ◽  
Dispersion Law ◽  
Thermodynamic Equilibrium State

This paper presents an elementary model of a crystal and its thermodynamic equilibrium state. It was shown that the thermodynamic characteristics of the crystal at this state are described by the Gibbs grand thermodynamic potential. If the crystal is removed away from the equilibrium state, then in this state it will be described by the set of kinetic properties, and these properties are statistically calculated with the use of the non-equilibrium Gibbs grand thermodynamic potential. Crystals’ thermodynamic and kinetic properties have analytical dependence on the current carriers dispersion law and chemical potential of these carriers. In this work, it was shown that the determination of the dispersion law and chemical potential – these are complicated problems of statistical and kinetic theories of crystals’ properties.

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.

THE SPECIFIC HEAT OF A FERMI GAS AT LOW TEMPERATURE: A CLOSER LOOK AT THE lnT BEHAVIOR

1999 ◽  
Vol 13 (28) ◽  
pp. 3357-3367 ◽  
Author(s):  
A. REBEI ◽  
W. N. G. HITCHON
Keyword(s):  
Low Temperature ◽  
Specific Heat ◽  
Finite Temperature ◽  
Thermodynamic Potential ◽  
Fermi Gas ◽  
Zero Temperature

At finite temperature, a Fermi gas can have states that simultaneously hold a particle and a hole with a finite probability. This gives rise to a new set of diagrams that are absent at zero temperature. The so called "anomalous" diagram is just one of the new diagrams. We have already studied the contribution of these new diagrams to the thermodynamic potential (Phys. Lett.A224, 127 (1996)). Here we continue that work and calculate their effect on the specific heat. We will also calculate the finite temperature contribution of the ring diagrams. We conclude that the ln T behavior of the specific heat due to exchange gets canceled by the new contribution of the new diagrams, and that screening is not essential to resolve this anomaly.

scholarly journals The Polyakov loop and the heat kernel expansion at finite temperature

2003 ◽  
Vol 563 (3-4) ◽  
pp. 173-178 ◽  
Author(s):  
E. Megı́as ◽  
E. Ruiz Arriola ◽  
L.L. Salcedo
Keyword(s):  
Heat Kernel ◽  
Finite Temperature ◽  
Polyakov Loop ◽  
Heat Kernel Expansion

scholarly journals Finite Temperature QCD Sum Rules: A Review

2017 ◽  
Vol 2017 ◽  
pp. 1-24 ◽  
Author(s):  
Alejandro Ayala ◽  
C. A. Dominguez ◽  
M. Loewe
Keyword(s):  
Finite Temperature ◽  
Chemical Potential ◽  
Sum Rules ◽  
Light Quark ◽  
Axial Vector ◽  
Heavy Ion ◽  
Qcd Sum Rules ◽  
Rho Meson ◽  
Ion Collisions ◽  
Rule Method

The method of QCD sum rules at finite temperature is reviewed, with emphasis on recent results. These include predictions for the survival of charmonium and bottonium states, at and beyond the critical temperature for deconfinement, as later confirmed by lattice QCD simulations. Also included are determinations in the light-quark vector and axial-vector channels, allowing analysing the Weinberg sum rules and predicting the dimuon spectrum in heavy-ion collisions in the region of the rho-meson. Also, in this sector, the determination of the temperature behaviour of the up-down quark mass, together with the pion decay constant, will be described. Finally, an extension of the QCD sum rule method to incorporate finite baryon chemical potential is reviewed.

scholarly journals Thermal operator and cutting rules at finite temperature and chemical potential

2006 ◽  
Vol 74 (8) ◽  
Author(s):  
F. T. Brandt ◽  
Ashok Das ◽  
Olivier Espinosa ◽  
J. Frenkel ◽  
Silvana Perez
Keyword(s):  
Finite Temperature ◽  
Chemical Potential
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