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arXiv · hep-th/9402071

The Real Test of ``Triviality'' on the Lattice

A. Agodi·G. Andronico·M. Consoli
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Abstract

The generally accepted ``triviality'' of $λΦ^4$ theories does not forbid Spontaneous Symmetry Breaking but implies a trivially free shifted field which becomes effectively governed by a quadratic hamiltonian. As a consequence, one expects the one-loop potential to be exact . We present a lattice computation of the effective potential for massless $λΦ^4$ theory which nicely confirms the expectations based on ``triviality''. Our results imply that the magnitude of the Higgs boson mass, beyond perturbation theory, does not represent a measure of the observable interactions in the scalar sector of the standard model.

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A. Agodi, G. Andronico, M. Consoli. 1994-02-11. The Real Test of ``Triviality'' on the Lattice. https://arxiv.org/abs/hep-th/9402071

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