Abstract

We calculate the pressure in QCD with two and three light quarks on a lattice of size 16 3×4 using tree level improved gauge and fermion actions. We argue that, for temperatures T≳2 T c , systematic effects due to the finite lattice cut-off and non-vanishing quark masses are below 15% in this calculation and give an estimate for the continuum-extrapolated pressure in QCD with massless quarks. We find that the flavour dependence of the pressure is dominated by that of the Stefan-Boltzmann constant. Furthermore we perform a calculation of the pressure using two light ( m u, d / T=0.4) and one heavier quark ( m s / T=1). In this case the pressure is reduced with respect to that of 3-flavour QCD. This effect is stronger than expected from the mass dependence of an ideal Fermi gas.

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