The coupling of quark and gluon condensates in hot and dense systems

Abstract

Two lagrangians, which implement the QCD scale anomaly, are used to study the coupling of quark and gluon condensates in dense and hot matter. The response of the system strongly depends on the assumed value of the vacuum gluon condensate. For a low value of this vacuum gluon condensate, quark and gluon condensates feel simultaneously the chiral phase transition while for a larger value, the gluon condensate keeps its vacuum value and the quark condensate is the only order parameter of the transition. We also calculate in both models the equation of state of nuclear matter.