Compact U(1) Lattice Gauge-Higgs Theory with Monopole Suppression

Details Compact U(1) Lattice Gauge-Higgs Theory with Monopole Suppression Compact U(1) Lattice Gauge-Higgs Theory with Monopole Suppression

1996-05-31

arxiv.org/abs/hep-lat/9605043v1

Physics

High Energy Physics

High Energy Physics - Lattice

35 pages. LaTeX file and 20 postscript figures packaged with uufiles

Scientific paper

We investigate a model of a U(1)-Higgs theory on the lattice with compact gauge fields but completely suppressed (elementary) monopoles. We study the model at two values of the quartic Higgs self-coupling, a strong coupling, $\lambda = 3.0$, and a weak coupling, $\lambda=0.01$. We map out the phase diagrams and find that the monopole suppression eliminated the confined phase of the standard lattice model at strong gauge coupling. We perform a detailed analysis of the static potential and study the mass spectrum in the Coulomb and Higgs phases for three values of the gauge coupling. We also probe the existence of a scalar bosonium to the extent that our data allow and conclude that further investigations are required in the Coulomb phase.

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