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

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, λ = 3.0, and a weak coupling, λ = 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. Work partly supported by the HCM Network “Computational Particle Physics” grant CHRX-CT920051 Lise Meitner Postdoctoral Research Fellow sponsored by FWF under Projects M078-PHY and M212PHY; Current address: Datametrics Systems Corporation, 12150 E. Monument Drive, Suite 300, Fairfax, VA 22033, USA Supported by the Deutsche Forschungsgemeinschaft under research grant Mu 932/1-3; Permanent address: Joint Institute for Nuclear Research, Dubna, Russia