QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops

We derive the equation of state of symmetric nuclear matter in a relativistictheory with $\sigma$ and $\omega$ exchange. We take a chiral version of thismodel which insures all the chiral constraints. Going beyond the mean fieldapproach we introduce the effects of the pion loops. For the parameters of themodel, in order to fix those linked to pion exchange, we exploit the mostrecent information on the short-range part of the spin-isospin interaction. Forthose linked to the scalar meson exchange we make use of an analysis of latticeresults on the nucleon mass evolution with the quark mass. With these inputs weare able reach a correct description of the saturation properties. From theequation of state of symmetric nuclear matter we alsoderive the densitydependence of the quark condensate and of the QCD susceptibilities