Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-09-29
Nucl.Phys. B528 (1998) 379-407
Physics
High Energy Physics
High Energy Physics - Lattice
36 pages, LaTeX, 13 postscript files, to be included with epsf; improved presentation, updated references, conclusions unchang
Scientific paper
10.1016/S0550-3213(98)00330-7
We present the results of a detailed calculation of the excitation spectrum of states with quantum numbers J^{PC}=0++, 1-- and 2++ in the three-dimensional SU(2) Higgs model at two values of the scalar self-coupling and for fixed gauge coupling. In the context of studies of the electroweak phase transition at finite temperature these couplings correpond to tree-level, zero temperature Higgs masses of 35 GeV and 120 GeV, respectively. We also study the properties of Polyakov loop operators, which serve to test the confining properties of the model in the symmetric phase. At both values of the scalar coupling we obtain masses of bound states consisting entirely of gauge degrees of freedom ("W-balls"), which are very close to those obtained in the pure gauge theory. We conclude that the previously observed, approximate decoupling of the scalar and gauge sectors of the theory persists at large scalar couplings. We study the crossover region at large scalar coupling and present a scenario how the confining properties of the model in the symmetric phase are lost inside the crossover by means of flux tube decay. We conclude that the underlying dynamics responsible for the observed dense spectrum of states in the Higgs region at large couplings must be different from that in the symmetric phase.
Philipsen Owe
Teper Michael
Wittig Hartmut
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