Topological transitions in the euclidean 2d U(1)-Higgs model
Hermann Dilger
Abstract
The two-dimensional U(1)-gauged Higgs model is studied on an euclidean lattice of size L1× L2, where the temperature T=L2-1 is of the order of the sphaleron mass. The simulation parameters are taken from zero temperature results. By comparison with classical and semiclassical results I discuss, whether the sphaleron transition rate can be extracted from the behavior of the Chern-Simons number and from the formation of vortices in an euclidean simulation at high temperatures.
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