Sphaleron rate at high temperature in 1+1 dimensions
  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. 
W.H. Tang and J. Smit