Thermal Fluctuations of Chern-Simons Numbers in the Lattice SU(2) Higgs Model

Details Thermal Fluctuations of Chern-Simons Numbers in the Lattice SU(2) Higgs Model Thermal Fluctuations of Chern-Simons Numbers in the Lattice SU(2) Higgs Model

1993-06-23

arxiv.org/abs/hep-lat/9306019v1

Phys.Rev.D50:5912-5919,1994

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages latex, (+piclatex+epsf (for 6 figures)), HLRZ-93-39 BI-TP 93/21

Scientific paper

10.1103/PhysRevD.50.5912

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 20^3. Temperatures well above the Higgs phase transition $T_H$ 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 $T \simeq 2T_H$ 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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