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Nonperturbative correlation masses in the 3-dimensional SU(2)-Higgs-model

By Andreas Laser, Fachbereich Physik, Theorie Iii, Universität Dortmund, Hans Günter Dosch, Michael G. Schmidt and Trφ Φ


The corelation masses of the 3-dimensional SU(2)-Higgs-model are calculated from the bound state Green’s function. For a heavy-light and a light-light system the results are reported. We compare with lattice data and find good agreement. The effective action describing the high temperature phase of the electroweak standard theory is a strongly coupled SU(2)-Higgs-model in three dimensions. The simple-minded perturbative picture would predict long range correlations because of the massless gauge bosons in this phase, but the neglect of IR-effects is obviously wrong. Lattice calculations confirm indeed that there are confinement effects and that the vector boson acquires a mass. In a letter 1 we proposed a model for two-dimensional bound states of light constituents in the hot electroweak phase. The Green’s functions of these bound states have been evaluated following a method which was developed by Simonov 2 in 4-dimensional QCD. In a recent paper 3 we elaborated this model in detail. The evaluation of the Green’s function was generalized and reorganized. Several modifications of the scalar potential and their influences on the correlation masses have been discussed. The agreement with lattice data was very good. In this article we review in short the bound state model and extend it to a system with a heavy and a light constituent. We discuss two additional effects on the bound state masses. At high temperatures the standard model can effectively be described by 1 the three dimensional SU(2)-Higgs-model 4 with the Lagrangia

Year: 1997
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