Sphaleron rate at high temperature in 1+1 dimensions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LATTICE98(electroweak)

Scientific paper

10.1016/S0920-5632(99)85168-8

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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