A precise determination of Tc in QCD from scaling

Abstract

Existing lattice data on the QCD phase transition are analyzed in renormalized perturbation theory. In quenched QCD it is found that Tc scales for lattices with only 3 time slices, and that Tc/Lambdamsbar=1.15 0.05. A preliminary estimate in QCD with two flavours of dynamical quarks shows that this ratio depends on the quark mass. For realistic quark masses we estimate Tc/Lambdamsbar=0.49 0.02. We also investigate the equation of state in quenched QCD at 1-loop order in renormalised perturbation theory.

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