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

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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.
5 pages, RevTeX

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High Energy Physics - Theory, High Energy Physics - Lattice, High Energy Physics - Phenomenology

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http://salesiana.dossiersoluciones.com/handle/123456789/53806

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9402071
 http://arxiv.org/abs/hep-th/9402071

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arXiv