We compare 4d lattice results for the finite temperature phase transition in the SU(2)+Higgs model with 3d lattice results for the phase transition in the corresponding dimensionally reduced effective theory. While the large errorbars and the lack of a relation of the 4d lattice gauge coupling to continuum physics prevent rigorous conclusions, the results are nevertheless compatible. This provides a direct non-perturbative check of dimensional reduction in the present context.
@article{arxiv.hep-lat/9604011,
title = {Comparison of 4d and 3d Lattice Results for the Electroweak Phase Transition},
author = {M. Laine},
journal= {arXiv preprint arXiv:hep-lat/9604011},
year = {2009}
}