Elsevier

Nuclear Physics B

Volume 277, 1986, Pages 50-66
Nuclear Physics B

CAN elementary scalar particles exist?: (II). Scalar electrodynamics

https://doi.org/10.1016/0550-3213(86)90431-1Get rights and content

Abstract

Strong evidence supports the notion that pure φ4 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 ϕ4 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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