Inspired by the corresponding problem in QCD, we determine the pressure of massless O(N) scalar field theory up to order g 6 in the weak-coupling expansion, where g 2 denotes the quartic coupling… (More)

We evaluate the static QCD potential to two–loop order. Compared to a previous calculation a sizable reduction of the two–loop coefficient a2 is found. ∗e–mail: York.Schroeder@desy.de

The pressure of hot QCD up to g 6 ln(1/g) 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… (More)

We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the β function is available to… (More)

We determine the 2-loop effective gauge coupling of QCD at high temperatures, defined as a matching coefficient appearing in the dimensionally reduced effective field theory. The result allows to… (More)

In this article we present a high-precision evaluation of the expansions in ǫ = (4−d)/2 of (up to) fourloop scalar vacuum master integrals, using the method of difference equations developed by S.… (More)

We update Monte Carlo simulations of the three-dimensional SU(3) + adjoint Higgs theory, by extrapolating carefully to the infinite volume and continuum limits, in order to estimate the contribution… (More)

In this article, we present a new analytic result for a certain single-mass-scale four-loop vacuum (bubble) integral. We also discuss its systematic ǫ-expansion in d = 4 − 2ǫ as well as d = 3 − 2ǫ… (More)

Perturbative calculations of corrections to the behavior of an ideal gas of quarks and gluons, the limit that is formally realized at infinite temperature, are obstructed by severe infrared… (More)

The spatial string tension, a classic non-perturbative probe for the convergence of the weak-coupling expansion at high temperatures, can be determined in full QCD as well as in a dimensionally… (More)