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Using only global symmetries of QCD, we set up an effective model of quarksat finite temperature near the cross over, including all possible terms up todimension 6. We first treat this in mean field theory. Then we investigatelow-energy fluctuations around it up to one-loop order in fermions below thecross over. Static correlation functions of pions and the cross overtemperature, both measured on the lattice, completely suffice to fix allparameters of the theory. We examine predictions of this theory, includingthose for thermodynamic quantities. The results are encouraging.

An effective field theory for warm QCD