This exhaustive survey is the result of a four year effort by many leading researchers in the
field to produce both a readable introduction and a yardstick for the many upcoming …

The free energy density, or pressure, of QCD has at high temperatures an expansion in the
coupling constant g, known so far up to order g 5. We compute here the last contribution …

We discuss radiative corrections to how quark mass thresholds are crossed, as a function of
the temperature, in basic thermodynamic observables such as the pressure, the energy and …

We reconsider thermal production of gravitinos in the early universe, adding to previously
considered 2→ 2 gauge scatterings:(a) production via 1→ 2 decays, allowed by thermal …

We review the various methods which have been employed recently to describe the
thermodynamics of the high temperature quark-gluon plasma using weak coupling …

We compute the perturbative expansion of the pressure of hot QCD to order g 6 ln g in the
presence of finite quark chemical potentials. In this process we evaluate all two-and three …

The progress in the last decade in perturbative quantum field theory at high temperatures
and densities, made possible by the use of effective field theories and hard thermal/dense …

The hard-thermal-loop perturbation theory (HTLpt) framework is used to calculate the
thermodynamic functions of a quark-gluon plasma to three-loop order. This is the highest …

A bstract We present major progress towards the determination of the last missing piece for
the pressure of a Yang-Mills plasma at high temperatures at order g 6 in the strong coupling …

The successive perturbative estimates of the pressure of QCD at high temperature T show
no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting …