Four-loop plaquette in 3-D with a mass regulator

Torrero C, Di Renzo F, Miccio V, Laine M, Schroeder Y (2006)
In: PoS. .

Conference Paper | Published | English

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Abstract
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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Publishing Year
Conference
XXIIIrd International Symposium on Lattice Field Theory - LAT2005
Location
Trinity College, Dublin, Ireland
Conference Date
2005-07-25-30
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Cite this

Torrero C, Di Renzo F, Miccio V, Laine M, Schroeder Y. Four-loop plaquette in 3-D with a mass regulator. In: PoS. 2006.
Torrero, C., Di Renzo, F., Miccio, V., Laine, M., & Schroeder, Y. (2006). Four-loop plaquette in 3-D with a mass regulator. PoS.
Torrero, C., Di Renzo, F., Miccio, V., Laine, M., and Schroeder, Y. (2006). “Four-loop plaquette in 3-D with a mass regulator” in PoS.
Torrero, C., et al., 2006. Four-loop plaquette in 3-D with a mass regulator. In PoS.
C. Torrero, et al., “Four-loop plaquette in 3-D with a mass regulator”, PoS, 2006.
Torrero, C., Di Renzo, F., Miccio, V., Laine, M., Schroeder, Y.: Four-loop plaquette in 3-D with a mass regulator. PoS. (2006).
Torrero, Christian, Di Renzo, Francesco, Miccio, Vincenzo, Laine, Mikko, and Schroeder, York. “Four-loop plaquette in 3-D with a mass regulator”. PoS. 2006.
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