Confinement in Three Dimensions and the Electroweak Phase Transition
High Energy Physics - Phenomenology
2009-10-28 v1
Abstract
The infrared behaviour of the standard model at finite temperature is determined by the confining phase of the SU(2)-Higgs model in three dimensions. Due to the Landau singularity of the three-dimensional gauge theory the perturbative treatment of the electroweak phase transition breaks down for Higgs masses above a critical mass . Based on a renormalization group improved effective potential we find 70 GeV. The scalar self-coupling has a Landau-type singularity also in the abelian U(1)-Higgs model, which leads to a breakdown of perturbation theory in the symmetric phase.
Cite
@article{arxiv.hep-ph/9403388,
title = {Confinement in Three Dimensions and the Electroweak Phase Transition},
author = {W. Buchmuller and Z. Fodor},
journal= {arXiv preprint arXiv:hep-ph/9403388},
year = {2009}
}
Comments
9 pages, DESY-94-045, 4 figures can be obtained via e-mail from fodor@vxdesy.desy.de