Abstract
We compare results from the Polyakov linear-sigma model (PLSM) in optimized perturbation theory (OPT) with the mean-field approximation (MFA). At finite temperatures and chemical potentials, the chiral condensates and the decofinement order parameters, the thermodynamic pressure, the pseudo-critical temperatures, the subtracted condensates, the second- and high-order moments of various conserved charges (cumulants) obtained in MFA are compared with OPT and also confronted to available lattice QCD simulations. We conclude that when moving from lower- to higher-order moments of various quantum charges, OPT becomes more closer to QCD.
Highlights
In quantized field theory [1,2,3,4,5,6], the linear-σ model [7] (LSM) with a spinless scalar field σa [8] and triplet pseudoscalar fields πa was introduced in order to describe the pion-nucleon interactions and the chiral degrees of freedom
We intend to check whether the optimized perturbation theory (OPT) would be able to play the role of an alternative to the nonperturbative approximation, such as the mean-field approximation (MFA), of the Polyakov linear-sigma model (PLSM)
We study the quark-hadron phase structure of the quantum chromodynamics (QCD) matter at finite temperature and chemical potential in MFA and OPT in PLSM
Summary
In quantized field theory [1,2,3,4,5,6], the linear-σ model [7] (LSM) with a spinless scalar field σa [8] and triplet pseudoscalar fields πa was introduced in order to describe the pion-nucleon interactions and the chiral degrees of freedom. The phase structure [12,14,15,16], the properties of QCD in finite magnetic fields [16,17,18,19], and various thermodynamic quantities have been estimated and reported, at finite baryon density [14,18,20] and isospin asymmetry [21] In almost all these studies, a comprehensive confrontation with the first-principle lattice calculations was the main part.
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