Abstract
We calculate the shear η(T) and bulk viscosities ζ(T) as well as the electric conductivity σe(T) and heat conductivity κ(T) within the Nambu-Jona-Lasinio (NJL) model for 3 flavors as a function of temperature as well as the entropy density s(T), pressure P(T) and speed of sound c2s(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. This work is based on Ref. [1].
Highlights
For small momentum transfers, quantum chromo-dynamics (QCD), the fundamental theory of strong interactions, can presently only be solved on a finite Euclidean lattice in thermodynamic equilibrium
We have calculated the shear η and bulk ζ viscosity as well as the electric σe and heat conductivity κ as a function of T and compared to corresponding results from the dynamical quasiparticle model (DQPM), from the PNJL model, and from lattice QCD results when available
We recall that the NJL Lagrangian parameters are essentially fixed at T = 0 by the pion decay constant and pion mass whereas the PNJL model is improved especially around the critical temperature Tc by adding a Polyakov loop potential
Summary
Quantum chromo-dynamics (QCD), the fundamental theory of strong interactions, can presently only be solved on a finite Euclidean lattice in thermodynamic equilibrium. In order to compare this approach with other transport models, which study the expansion of the plasma created in ultra relativistic heavy-ion collisions, it is useful to calculate and compare thermodynamic properties as well as transport coefficients in equilibrium as a function of the temperature T It is the purpose of this article to evaluate these quantities in the NJL model and to compare them with similar approaches such as the Polyakov-Nambu-Jona-Lasinio (PNJL) [3] and the dynamical-quasiparticle model (DQPM) [4,5,6]. As much as possible, all results with available lattice QCD data
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