Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-08-05
JHEP 0809:061,2008
Physics
High Energy Physics
High Energy Physics - Lattice
35 pages. v2: minor corrections, published version
Scientific paper
10.1088/1126-6708/2008/09/061
The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can be related to various effective gluon condensates in a dimensionally reduced effective field theory, and measured there through lattice simulations. Practical measurements of one of the relevant condensates have suffered, however, from difficulties in extrapolating convincingly to the continuum limit. In order to gain insight on this problem, we employ Numerical Stochastic Perturbation Theory to estimate the problematic condensate up to 4-loop order in lattice perturbation theory. Our results seem to confirm the presence of "large" discretization effects, going like $a\ln(1/a)$, where $a$ is the lattice spacing. For definite conclusions, however, it would be helpful to repeat the corresponding part of our study with standard lattice perturbation theory techniques.
Laine Mikko
Renzo Francesco Di
Schroder York
Torrero Christian
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