Transition temperature and the equation of state from lattice QCD, Wuppertal-Budapest results

The QCD transition is studied on lattices up to Nt = 16. The chiral condensate is presented as a function of the temperature, and the corresponding transition temperature is extracted. The equation of state is determined on lattices with Nt = 6,8,10 and at some temperature values with Nt = 12. The pressure and the trace anomaly are presented as functions of the temperature in the range 100 ...1000 MeV . Using the same configurations we determine the continuum extrapolated phase diagram of QCD on the μ - T plane for small to moderate chemical potentials. Two transition lines are defined with two quantities, the chiral condensate and the strange quark number susceptibility.