Long-distance contributions to the QCD pressure

Abstract

The QCD pressure is a most fundamental quantity, for which lattice data is available up to a few times the critical temperature $T_c$. Perturbation theory, even at very high temperatures, has serious convergence problems. Combining analytical and 3d numerical methods, we show that it is possible to compute the QCD pressure from about $2 T_c$ to infinity. We also describe an algorithm to generate and classify high order Feynman diagrams which is tailored to minimize computational effort.