Sphaleron rate at high temperature in 1+1 dimensions
classification
✦ hep-lat
keywords
behaviordimensionshighmodelratesphalerontemperatureabelian
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We resolve the controversy in the high temperature behavior of the sphaleron rate in the abelian Higgs model in 1+1 dimensions. The $T^2$ behavior at intermediate lattice spacings is found to change into $T^{2/3}$ behavior in the continuum limit. The results are supported by analytic arguments that the classical approximation is good for this model.
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