Four-loop plaquette in 3d with a mass regulator

Details Four-loop plaquette in 3d with a mass regulator Four-loop plaquette in 3d with a mass regulator

2005-09-27

arxiv.org/abs/hep-lat/0509157v1

PoS LAT2005 (2005) 189

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 6 figures, talk presented at Lattice 2005 (Non-zero temperature and density)

Scientific paper

The QCD free energy can be studied by dimensional reduction to a three-dimensional (3d) effective theory, whereby non-perturbative lattice simulations become less demanding. To connect to the original QCD a perturbative matching computation is required, which is conventionally carried out in dimensional regularization. Therefore the 3d lattice results need to be converted to this regularization scheme as well. The conversion must be carried up to 4-loop order, where the free energy displays an infrared (IR) singularity. We therefore need a regulator which can be implemented both on the lattice and in the continuum computation. We introduce a mass regulator to perform Numerical Stochastic Perturbation Theory computations. Covariant gauge is fixed in the Faddeev-Popov scheme without introducing any ghost fields.

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