Polyakov linear SU(3) sigma model: features of higher order moments in dense and thermal hadronic medium

Abstract

In order to characterize the higher order moments of the particle multiplicity, we implement the linear-sigma model with Polyakov-loop correction. We first studied the critical phenomena and estimated some thermodynamic quantities. Then, we compared all these results with the first--principle lattice QCD calculations. Then, the extensive study of non-normalized four moments is followed by investigating their thermal and density dependence. We repeat this for moments normalized to temperature and chemical potential. The fluctuations of the second order moment is used to estimate the chiral phase--transition. Then, we implement all these in mapping out the chiral phase transition, which shall be compared with the freeze-out parameters estimated from the lattice QCD simulations and the thermal models are compared with the chiral phase--diagram.

arXiv comment38 pages, 17 figures with 30 eps graphs to appear in PRC

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• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
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• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• Chiral phase structure and sixteen meson states in SU(3) Polyakov linear-sigma model at finite temperature and chemical potential in strong magnetic field
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• Thermodynamics and higher order moments in SU(3) linear $\sigma$-model with gluonic quasi-particles
• Quark-hadron phase structure of QCD matter from SU($4$) Polyakov linear sigma model
• On SU(3) effective models and chiral phase-transition
• Deconfinement and freezeout boundaries in equilibrium thermal models
• Bulk viscosity in strong and electroweak matter
• Mass Spectrum of Non-Charmed and Charmed Meson States in Extended Linear-Sigma Model
• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model