Unified description of deconfined QCD equation of state

Several distinct perturbative approaches exist to describe the equation of state of QCD in the deconfined phase: dimensional reduction works for temperatures larger than the screening mass, otherwise one has to apply HDL/HTL resummation schemes at small temperatures or resort to the result by Freedman and McLerran at zero temperature. We present a new method that unifies these approaches in a manifestly four-dimensional calculation. We work out our new method for the pressure up to and including order g(4) and verify that it agrees to the previous approaches in their respective ranges of validity.