Thermal Fluctuations of Chern-Simons Numbers in the Lattice SU(2) Higgs Model
F. Karsch, M. L. Laursen, T. Neuhaus, B. Plache
Abstract
We study the temperature dependence of the Chern-Simons number fluctuations in the SU(2) Higgs Model on Euclidean lattices with spatial sizes up to 203. Temperatures well above the Higgs phase transition TH are achieved on anisotropic lattices. Numerical results are compared to perturbative results on finite lattices as well as in continuum perturbation theory. We find qualitative agreement with perturbative estimates and see at high temperatures a tendency towards static configurations. Up to temperatures T 2TH we find indication that tunneling between vacuums with different Chern-Simons numbers are still exponentially suppressed. (Full PostScript file available via Email from plache@physw.uni-bielefeld.de )
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