Abstract
In the first part of the talk, a short review of baryon number violation in the electroweak standard model is given. I concentrate on perturbative estimates for the electroweak phase transition. A strong first order phase transition could be relevant both for a possible generation of the baryon asymmetry of the universe, and the survival of this asymmetry afterwards. In the second part of the talk, some lattice results for the electroweak phase transition are presented. They tend to indicate a transition more strongly first order than predicted by perturbation theory. A definite condusion cannot be drawn, however, because of severe finite size effects.

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