Shear viscosity from Kubo formalism: NJL-model study

A large-$N_{\rm c}$ expansion is combined with the Kubo formalism to study the shear viscosity $η$ of strongly interacting matter in the two-flavor NJL model. We discuss analytical and numerical approaches to $η$ and investigate systematically its strong dependence on the spectral width and the momentum-space cutoff. Thermal effects on the constituent quark mass from spontaneous chiral symmetry breaking are included. The ratio $η/s$ and its thermal dependence are derived for different parameterizations of the spectral width and for an explicit one-loop calculation including mesonic modes within the NJL model.

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