Equation of state for hot QCD and compact stars from a mean field approach. (arXiv:1905.00866v1 [hep-ph])

Equation of state for hot QCD and compact stars from a mean field approach. (arXiv:1905.00866v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Motornenko_A/0/1/0/all/0/1">Anton Motornenko</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Steinheimer_J/0/1/0/all/0/1">Jan Steinheimer</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Vovchenko_V/0/1/0/all/0/1">Volodymyr Vovchenko</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Schramm_S/0/1/0/all/0/1">Stefan Schramm</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Stoecker_H/0/1/0/all/0/1">Horst Stoecker</a>

The thermodynamic properties of high temperature and high density QCD-matter
are explored within the Chiral SU(3)-flavor parity-doublet Polyakov-loop
quark-hadron mean-field model, CMF. The quark sector of the CMF model is tuned
to describe the $mu_B=0$ thermodynamics data of lattice QCD. The resulting
lines of constant physical variables as well as the baryon number
susceptibilities are studied in some detail in the temperature/chemical
potential plane. The CMF model predicts three consecutive transitions, the
nuclear first-order liquid-vapor phase transition, chiral symmetry restoration,
and the cross-over transition to a quark-dominated phase. All three phenomena
are cross-over, for most of the $T-mu_B$-plane. The deviations from the free
ideal hadron gas baseline at $mu_B=0$ and $Tapprox 100-200$ MeV can be
attributed to remnants of the liquid-vapor first order phase transition in
nuclear matter. The chiral crossing transition determines the baryon
fluctuations at much higher $mu_Bapprox1.5$ GeV, and at even higher baryon
densities $mu_Bapprox2.4$ GeV, the behavior of fluctuations is controlled by
the deconfinement cross-over. The CMF model also describe well the static
properties of high $mu_B$ neutron stars as well as the new neutron star merger
observations. The effective EoS presented here describes simultaneously lattice
QCD results at $mu_B=0$, as well as observed physical phenomena (nuclear
matter and neutron star matter) at $Tcong0$ and high densities, $mu_B>1$ GeV.

The thermodynamic properties of high temperature and high density QCD-matter
are explored within the Chiral SU(3)-flavor parity-doublet Polyakov-loop
quark-hadron mean-field model, CMF. The quark sector of the CMF model is tuned
to describe the $mu_B=0$ thermodynamics data of lattice QCD. The resulting
lines of constant physical variables as well as the baryon number
susceptibilities are studied in some detail in the temperature/chemical
potential plane. The CMF model predicts three consecutive transitions, the
nuclear first-order liquid-vapor phase transition, chiral symmetry restoration,
and the cross-over transition to a quark-dominated phase. All three phenomena
are cross-over, for most of the $T-mu_B$-plane. The deviations from the free
ideal hadron gas baseline at $mu_B=0$ and $Tapprox 100-200$ MeV can be
attributed to remnants of the liquid-vapor first order phase transition in
nuclear matter. The chiral crossing transition determines the baryon
fluctuations at much higher $mu_Bapprox1.5$ GeV, and at even higher baryon
densities $mu_Bapprox2.4$ GeV, the behavior of fluctuations is controlled by
the deconfinement cross-over. The CMF model also describe well the static
properties of high $mu_B$ neutron stars as well as the new neutron star merger
observations. The effective EoS presented here describes simultaneously lattice
QCD results at $mu_B=0$, as well as observed physical phenomena (nuclear
matter and neutron star matter) at $Tcong0$ and high densities, $mu_B>1$ GeV.

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