Crossover and mass gap of the SU(2)-Higgs model at high temperature

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Analytic estimates of screening masses in the symmetric, high-temperature phase of the SU(2)-Higgs model are reviewed. The size of the mass gap in the symmetric phase is closely related to the critical Higgs mass where the first-order electroweak phase transition changes to a smooth crossover. We also discuss some conjectures concerning the connection between the screening masses of propagators in a fixed gauge and screening masses of gauge-invariant operators.
Talk given at the Conf. Strong and Electroweak Matter '97, Eger, Hungary, May 1997, 15 pages, 6 ps figures

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