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Electroweak baryon number non-conservation in the early Universe and in high-energy collisionsa Institute for Nuclear Research, Russian Academy of Sciences, prosp. 60-letiya Oktyabrya 7a, Moscow, 117312, Russian Federation b Theory Division, Europian Organisation for Nuclear Research CERN, Geneva, Switzerland We review recent progress in the study of the anomalous baryon number non-conservation at high temperatures and in high-energy collisions. Recent results on high temperature phase transitions are described, and applications to the electroweak baryogenesis are considered. The current status of the problem of electroweak instanton-like processes at high energies is outlined.
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