Abstract
Strong evidence supports the notion that pure φ 4 field theory is a non-interacting, “trivial” theory. Should such a situation persist when gauge fields are present, the idea that elementary scalars can break symmetries spontaneously is called into question. Previously, we applied the Monte Carlo renormalization group to pure ϕ 4 field theory and to the SU(2)-Higgs model; here we consider the U(1)-Higgs model. No evidence for a non-trivial continuum theory was uncovered in any of these limits of the standard model of the weak interaction.
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