Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory
Di Renzo, F.
Laine, Mikko
Schroeder, York
Torrero, C.
perturbation theory: stochastic
perturbation theory: higher-order
Higgs model
gluon: condensation
lattice field theory
quantum chromodynamics
gauge field theory: SU(3)
factorization
effective field theory
dimension: 3
dimensional reduction
numerical calculations
energy: density
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.
2008
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1917682
Di Renzo F, Laine M, Schroeder Y, Torrero C. Four-loop lattice-regularized vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory. <em>JHEP</em>. 2008;2008(09):061.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2008/09/061
info:eu-repo/semantics/altIdentifier/issn/1029-8479
info:eu-repo/semantics/altIdentifier/wos/000259699700076
info:eu-repo/semantics/altIdentifier/arxiv/0808.0557
info:eu-repo/semantics/closedAccess