QCD equation of state for heavy ion collisions

In this work, we calculate the equation of state（EoS） of quark gluon-plasma（QGP） using the CornwallJackiw-Tomboulis（CJT） effective action. We get the quark propagator by using the rank-1 separable model within the framework of the Dyson-Schwinger equations（DSEs）. The results from CJT effective action are compared with lattice QCD data. We find that, when μ is small, our results generally fit the lattice QCD data when T>Tc,but show deviations at and below Tc. It can be concluded that the EoS of CJT is reliable when T>Tc. Then,by adopting the hydrodynamic code UVH2+1, we compare the CJT results of the multiplicity and elliptic flow v2 with the PHENIX data and the results from the original EoS in UVH2+1. While the CJT results of multiplicities generally match the original UVH2+1 results and fit the experimental data, the CJT results of v2 are slightly larger than the original UVH2+1 results for centralities smaller than 40% and smaller than the original UVH2+1 results for higher centralities.