Equation of state in (2+1) flavor QCD at high temperatures

Abstract

We calculate the Equation of State at high temperatures in (2+1) flavor QCD using the highly improved staggered quark (HISQ) action. We study the lattice spacing dependence of the pressure at high temperatures using lattices with temporal extent Nτ = 6, 8, 10 and 12 and perform continuum extrapolations. We also give a continuum estimate for the Equation of State up to temperatures T = 2 GeV, which are then compared with results of the weak-coupling calculations. We find reasonable agreement with the HTL calculation at the highest temperatures and a tension with the EQCD calculation of a few percent, with the lattice results in the middle between both.