SU(3) Polyakov linear-sigma model: Conductivity and viscous properties of QCD matter in thermal medium

Abstract

In mean field approximation, the grand canonical potential of SU(3) Polyakov linear-$\sigma$ model (PLSM) is analysed for chiral phase-transition, ${\sigma }_l$ and ${\sigma }_s$ and for deconfinement order-parameters, $\varphi$ and ${\varphi }^{\ast }$ of light- and strange-quarks, respectively. Various PLSM parameters are determined from the assumption of global minimization of the real part of the potential. Then, we have calculated the subtracted condensates (${\Delta }_{l,s}$). All these results are compared with recent lattice QCD simulations. Accordingly, essential PLSM parameters are determined. The modelling of the relaxation time is utilized in estimating the conductivity properties of the QCD matter in thermal medium, namely electric [${\sigma }_{el}(T)$] and heat [$\kappa (T)$] conductivities. We found that the PLSM results on the electric conductivity and on the specific heat agree well with the available lattice QCD calculations. Also, we have calculated bulk and shear viscosities normalized to the thermal entropy, $\xi /s$ and $\eta /s$, respectively, and compared them with recent lattice QCD. Predictions for $(\xi /s)/({\sigma }_{el}/T)$ and $(\eta /s)/({\sigma }_{el}/T)$ are introduced. We conclude that our results on various transport properties show some essential ingredients, that these properties likely come up with, in studying QCD matter in thermal and dense medium.

33 pages, 6 figures, 2 tables, accepted for publication in IJMPA

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Cited by in corpus (6)

• Chiral phase structure and sixteen meson states in SU(3) Polyakov linear-sigma model at finite temperature and chemical potential in strong magnetic field
• Chiral magnetic properties of QCD phase-diagram
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Mass Spectrum of Non-Charmed and Charmed Meson States in Extended Linear-Sigma Model
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model
• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature