Vacuum Tunneling and Periodic Structure in Lattice Higgs Models

Details Vacuum Tunneling and Periodic Structure in Lattice Higgs Models Vacuum Tunneling and Periodic Structure in Lattice Higgs Models

1993-02-19

arxiv.org/abs/hep-lat/9302005v1

Nucl.Phys. B406 (1993) 825-846

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 5 figures, LaTeX (+ PicLaTeX) file, HLRZ-93-08 and BI-TP 93/04

Scientific paper

10.1016/0550-3213(93)90012-E

Using a geometric definition for the lattice Chern-Simons term in even dimensions, we have studied the distribution of Chern-Simons numbers for the 2d-U(1) and the 4d-SU(2) lattice Higgs models. The periodic structure of the distributions is preserved in our lattice formulation and has been examined in detail. In both cases the finite size effects visible in the distribution of Chern-Simons numbers are well accounted for by the Haar measure. Moreover, we find that $\langle N_{CS}^2 \rangle$ grows with the spatial volume. We also find numerical evidence that tunneling in 4d is increased at high temperature. (PS-File including Figures available via E-mail: plache@physv.uni-bielefeld.de)

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