QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops
Abstract
We derive the equation of state of symmetric nuclear matter in a relativistic theory with {sigma} and {omega} exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach we introduce the effects of the pion loops. For the parameters of the model, in order to fix those linked to pion exchange, we exploit the most recent information on the shortrange part of the spinisospin interaction. For those linked to the scalar meson exchange we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. With these inputs we are able reach a correct description of the saturation properties. From the equation of state of symmetric nuclear matter we also derive the density dependence of the quark condensate and of the QCD susceptibilities.
 Authors:
 IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F69622 Villeurbanne Cedex (France)
 (France)
 (Switzerland)
 Publication Date:
 OSTI Identifier:
 20990974
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.75.015206; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHIRALITY; DENSITY; EQUATIONS OF STATE; INCLUSIONS; ISOSPIN; MASS; MEANFIELD THEORY; NUCLEAR MATTER; NUCLEONS; OMEGA BARYONS; PIONS; QUANTUM CHROMODYNAMICS; QUARK CONDENSATION; QUARKS; RELATIVISTIC RANGE; SATURATION; SCALAR MESONS; SPIN
Citation Formats
Chanfray, G., Ericson, M., IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F69622 Villeurbanne Cedex, and Theory Division, CERN, CH12111 Geneva. QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.015206.
Chanfray, G., Ericson, M., IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F69622 Villeurbanne Cedex, & Theory Division, CERN, CH12111 Geneva. QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops. United States. doi:10.1103/PHYSREVC.75.015206.
Chanfray, G., Ericson, M., IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F69622 Villeurbanne Cedex, and Theory Division, CERN, CH12111 Geneva. Mon .
"QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops". United States.
doi:10.1103/PHYSREVC.75.015206.
@article{osti_20990974,
title = {QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops},
author = {Chanfray, G. and Ericson, M. and IPN Lyon, Universite de Lyon, Universite Lyon 1, CNRS/IN2P3, UMR5822, F69622 Villeurbanne Cedex and Theory Division, CERN, CH12111 Geneva},
abstractNote = {We derive the equation of state of symmetric nuclear matter in a relativistic theory with {sigma} and {omega} exchange. We take a chiral version of this model which insures all the chiral constraints. Going beyond the mean field approach we introduce the effects of the pion loops. For the parameters of the model, in order to fix those linked to pion exchange, we exploit the most recent information on the shortrange part of the spinisospin interaction. For those linked to the scalar meson exchange we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. With these inputs we are able reach a correct description of the saturation properties. From the equation of state of symmetric nuclear matter we also derive the density dependence of the quark condensate and of the QCD susceptibilities.},
doi = {10.1103/PHYSREVC.75.015206},
journal = {Physical Review. C, Nuclear Physics},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}

In an extension of the NambuJonaLasinio model where the quarks interact with the temporal gluon field, represented by the Polyakov loop, we explore the relation between the deconfinement and chiral phase transitions. The effect of Polyakov loop dynamics on thermodynamic quantities, on the phase structure at finite temperature and baryon density and on various susceptibilities is presented. Particular emphasis is put on the behavior and properties of the fluctuations of the (approximate) order parameters and their dependence on temperature and netquark number density. We also discuss how the phase structure of the model is influenced by the coupling of themore »

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
The QCD vacuum condensates and various vacuum susceptibilities are all important parameters which characterize the nonperturbative properties of the QCD vacuum. In the QCD sum rules external field formula, various QCD vacuum susceptibilities play important roles in determining the properties of hadrons. In this paper, we review the recent progress in studies of vacuum susceptibilities together with their applications to the chiral phase transition of QCD. The results of the tensor, the vector, the axial–vector, the scalar, and the pseudoscalar vacuum susceptibilities are shown in detail in the framework of Dyson–Schwinger equations. 
Subsaturation matter in compact stars: Nuclear modelling in the framework of the extended ThomasFermi theory
A recently introduced analytical model for the nuclear density profile [1] is implemented in the Extended ThomasFermi (ETF) energy density functional. This allows to (i) shed a new light on the issue of the sign of surface symmetry energy in nuclear mass formulas, as well as to (ii) show the importance of the inmedium corrections to the nuclear cluster energies in thermodynamic conditions relevant for the description of corecollapse supernovae and (proto)neutron star crust. 
Scalar meson in dynamical and partially quenched twoflavor QCD: Lattice results and chiral loops
This is an exploratory study of the lightest nonsinglet scalar qq state on the lattice with two dynamical quarks. Domain wall fermions are used for both sea and valence quarks on a 16{sup 3}x32 lattice with an inverse lattice spacing of 1.7 GeV. We extract the scalar meson mass 1.58{+}0.34 GeV from the exponential time dependence of the dynamical correlators with m{sub val}=m{sub sea} and N{sub f}=2. Since this statistical error bar from dynamical correlators is rather large, we analyze also the partially quenched lattice correlators with m{sub val}{ne}m{sub sea}. They are positive for m{sub val}{>=}m{sub sea} and negative formore » 
Phase transitions in a saturating chiral theory of nuclear matter
The formalism of a relativistically covariant saturating chiral field theory of nuclear matter is developed in the mean approximation, and some of the properties are studied. The theory possesses the normal saturated state of nuclear matter. The finite temperature properties are examined. A normal gasliquid phase equilibrium region exists below Titalic roughlyequal 23 MeV. The maximum mass for a neutron star is calculated, and it lies well above the lower bound set by observation. In the hightemperature regime, there is a second minimum in the free energy, on which branch the effective baryon mass is very small. However, this branchmore »