FLUCTUATIONS OF CHERN-SIMONS NUMBERS IN THE SU(2) HIGGS MODEL

F. Karsch, M. L. Laursen, T. Neuhaus and B. Plache
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F. Karsch: HLRZ, c/o KFA Jülich, D-52425 Jülich, Germany
M. L. Laursen: HLRZ, c/o KFA Jülich, D-52425 Jülich, Germany
T. Neuhaus: Fak. f. Physik, Univ. Bielefeld, P.O. Box 100131, D-33501 Bielefeld, Germany
B. Plache: Fak. f. Physik, Univ. Bielefeld, P.O. Box 100131, D-33501 Bielefeld, Germany

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 06, 1195-1204

Abstract: We investigate vacuum transitions in lattice higgs models at finite temperature. The 2 dimensionalU(1)Higgs model is used as a toy model. In the 4 dimensionalSU(2)Higgs model the region of the phase transition and temperatures above it are considered. The couplings(β, κ, λ) = (2.25, 0.27, 0.5)and (8.0, 0.12996, 0.0017235) correspond to masses in lattice units(aσmH, aσmw)of (0.02, 0.05) and (0.2,0.2), respectively. The algorithm is described and a parallelized version is proposed. Taking the influence of the finite lattice into account we discuss temperature effects. We compare our results with perturbative estimates and claim that they link low and high temperature approximations.

Keywords: Higgs model; vacuum structure; finite temperature; topology (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1142/S012918319300094X

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