Abstract
We study the finite temperature electroweak phase transition with lattice perturbation theory and Monte Carlo techniques. Dimensional reduction is used to approximate the full four-dimensional SU(2)+fundamental doublet Higgs theory by an efftive three-dimensional SU(2)+ adjoint Higgs+fundamental Higgs theory with coefficients depending on temperature via screening masses and mass counterterms. Fermions contribute to the effective theory only via the N F and m top dependence of the coefficients. For sufficiently small lattices ( N 3 < 30 3 for m H = 35 GeV) the study of the one-loop lattice effective potential shows the existence of the second order phase transition even for the small Higgs masses. At the same time, a clear signal of a first order phase transition is seen on the lattice simulations with a transition temperature close to but less than the value determined from the perturbative calculations. This indicates that the dynamics of the first order electroweak phase transition depends strongly on non-perturbative effects and is not exclusively related to the so-called ø 3 term in the effective potential.
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