Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$

Abstract

We calculate the shear $\eta (T)$ and bulk viscosities $\zeta (T)$ as well as the electric conductivity ${\sigma }_e(T)$ and heat conductivity $\kappa (T)$ within the Nambu-Jona-Lasinio model for 3 flavors as a function of temperature as well as the entropy density $s(T)$, pressure $P(T)$ and speed of sound squared $c_s^2(T)$. We compare the results with other models such as the Polyakov-Nambu-Jona-Lasinio (PNJL) model and the dynamical quasiparticle model (DQPM) and confront these results with lattice QCD data whenever available. We find the NJL model to have a limited predictive power for the thermodynamic variables and various transport coefficients above the critical temperature whereas the PNJL model and DQPM show acceptable results for the quantities of interest.

Proceeding of the talk given at SQM2013 in Birmingham, based on arXiv:1305.7180 [hep-ph]

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