TY - JOUR
AB - 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.
AU - Di Renzo, F.
AU - Laine, Mikko
AU - Schroeder, York
AU - Torrero, C.
ID - 1917682
IS - 09
JF - JHEP
KW - perturbation theory: stochastic
KW - perturbation theory: higher-order
KW - Higgs model
KW - gluon: condensation
KW - lattice field theory
KW - quantum chromodynamics
KW - gauge field theory: SU(3)
KW - factorization
KW - effective field theory
KW - dimension: 3
KW - dimensional reduction
KW - numerical calculations
KW - energy: density
SN - 1029-8479
TI - Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory
VL - 2008
ER -