β function and equation of state for QCD with two flavors of quarks

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Abstract
We measure the pressure and energy density of two flavor QCD in a wide range of quark masses and temperatures. The pressure is obtained from an integral over the average plaquette or 〈ψ¯ψ〉. We measure the QCD β function, including the anomalous dimension of the quark mass, in new Monte Carlo simulations and from results in the literature. We use it to find the interaction measure, ɛ-3p, yielding nonperturbative values for both the energy density ɛ and the pressure p.