Extended linear-sigma model: transport properties of QCD matter at finite temperature

Since their discovery in heavy-ion collisions, the transport properties of quantum chromodynamics (QCD) matter gained prominence among nuclear theorists. We introduce a new study based on a QCD-like effective model. The thermal evolution of the electric and heat conductivity, ${\sigma }_e$ and $\kappa$, respectively, and that if their ratios are evaluated in SU(3) extended linear-sigma model (eLSM) with mean field approximation. Also, the bulk and shear viscosity normalized to the thermal entropy, $\xi /s$ and $\eta /s$, respectively, as well as their ratios are estimated in the eLSM at finite temperature. Furthermore, the two ratios $\left(\xi /s\right)/\left({\sigma }_{e}T\right)$ and $\left(\eta /s\right)/\left({\sigma }_{e}T\right)$ are analyzed. The excellent agreement with recent lattice QCD calculations allows to draw the conclusion that the values assigned to the various eLSM-parameters make this QCD-like effective model capable of reproducing the non-perturbative calculations of QCD matter, at finite temperatures.