Abstract
We give a detailed account of our Monte Carlo investigation of the d = 4, U(1) gauge-Higgs model with Higgs fields in the fundamental representation and with full radial degree of freedom. We found that the phase transition between the Coulomb and the Higgs phases is of first order for small quartic coupling λ and weakens when either λ or the inverse gauge field coupling β increase. A study of the specific heat on the phase transition at λ = 3 and β = 2.5 shows remarkable finite size effects consistent with a second-order phase transition with critical index ν ⋍ 0.56.
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