Recent Result in QCD Thermodynamics from the Lattice

Recent results on QCD thermodynamics are presented. The nature of the T>0 transition is de-termined, which turns out to be an analytic cross-over. The absolute scale for this transition is calculated. The results were obtained by using a Symanzik improved gauge and stout-link im-proved fermionic action. In order to approach the continuum limit four different sets of lattice spacings were used with temporal extensions Nt=4, 6, 8 and 10 (they correspond to lattice spac-ings a∼0.3, 0.2, 0.15 and 0.12 fm). The equation of state is determined on Nt=4 and 6 lattices. The importance of the continuum limit for different results (critical endpoint, colour superconducting phase) at non-vanishing baryonic densities is discussed. Critical Point and onset of Deconfinemen