Chiral Phase Transition from Non-Perturbative Flow Equations

We employ non-perturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. Our treatment covers both the chiral perturbation theory domain of validity and the domain of validity of universality associated with critical phenomena. In the vicinity of $T_c$ and zero quark mass we obtain a precision estimate of the universal critical equation of state of the three dimensional O(4) symmetric Heisenberg model. For realistic quark masses the pion correlation length near $T_c$ turns out to be smaller than its zero temperature value.