Berlin 2005 – scientific programme
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T: Teilchenphysik
T 707: QCD III
T 707.3: Talk
Wednesday, March 9, 2005, 14:30–14:45, TU H2037
Nonperturbative g6-Contribution to Free Energy of Hot QCD — •Boris Kastening — Inst. f. Theoretische Physik, FU Berlin, Arnimallee 14, 14195 Berlin
The small-coupling expansion of the free energy density of hot QCD has the form f=T4[c0+c2g2+c3g3+(c4′lng+c4)g4+c5 g5+ (c6′lng+c6)g6+⋯]. While c0 through c6′ may be computed within perturbation theory, c6 receives both perturbative and nonperturbative contributions, c6=c6p+c6np. Working within the three-dimensional pure gauge theory that describes the magnetostatic modes of hot four-dimensional non-Abelian gauge theory, we determine c6np. Infrared divergences are regularized by introducing a mass into gauge and ghost propagators and taking the massless limit after resummation of the corresponding perturbative series through four loops. c6np turns out to be of the same order of magnitude which is expected for c6, if agreement is assumed between the small-g expansion of f and lattice results within their expected common range of validity.