Recent Result in QCD Thermodynamics from the Lattice

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Recent results on QCD thermodynamics are presented. The nature of the T>0 transition is determined, 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 improved fermionic action. In order to approach the continuum limit four different sets of lattice spacings were used with temporal extensions N_t=4, 6, 8 and 10 (they correspond to lattice spacings a \sim 0.3, 0.2, 0.15 and 0.12 fm). The equation of state is determined on N_t=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.
15 pages, Critical Point and Onset of Deconfinement 4th International Workshop, July 9-13 2007, GSI Darmstadt,Germany

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