Towards 4-loop NSPT result for a 3-dimensional condensate-contribution to hot QCD pressure

Details Towards 4-loop NSPT result for a 3-dimensional condensate-contribution to hot QCD pressure Towards 4-loop NSPT result for a 3-dimensional condensate-contribution to hot QCD pressure

2007-11-08

arxiv.org/abs/0711.1176v1

PoSLAT2007:231,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Presented at 25th International Symposium on Lattice Field Theory, Regensburg, Germany, 30 Jul - 4 Aug 2007, 7 pages

Scientific paper

Thanks to dimensional reduction, the contributions to the hot QCD pressure coming from so-called soft modes can be studied via an effective three-dimensional theory named Electrostatic QCD (spatial Yang-Mills fields plus an adjoint Higgs scalar). The poor convergence of the perturbative series within EQCD suggests to perform lattice measurements of some of the associated gluon condensates. These turn out, however, to be plagued by large discretization artifacts. We discuss how Numerical Stochastic Perturbation Theory can be exploited to determine the full lattice spacing dependence of one of these condensates up to 4-loop order, and sharpen our tools on a concrete 2-loop example.

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