Topological transitions in the euclidean 2d U(1)-Higgs model

Details Topological transitions in the euclidean 2d U(1)-Higgs model Topological transitions in the euclidean 2d U(1)-Higgs model

1996-07-23

arxiv.org/abs/hep-lat/9607052v1

Nucl.Phys.Proc.Suppl. 53 (1997) 590-592

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at LATTICE96(topology), 3 pages, latex2e, 3 postscript figures, uses packages epsfig and espcrc2

Scientific paper

10.1016/S0920-5632(96)00727-X

The two-dimensional U(1)-gauged Higgs model is studied on an euclidean lattice of size $L_1\times L_2$, where the temperature $T=L_2^{-1}$ 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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