Lattice effective potential of massless $(λΦ^4)_4$: `triviality' and spontaneous symmetry breaking

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dc.creatorCea, P.
dc.creatorConsoli, M.
dc.creatorCosmai, L.
dc.creatorFiore, R.
dc.date1995-05-09
dc.date.accessioned2026-07-07T04:21:08Z
dc.date.available2026-07-07T04:21:08Z
dc.descriptionWe present a precise lattice computation of the slope of the effective potential for massless $(λΦ^4)_4$ theory in the region of bare parameters indicated by the Brahm's analysis of lattice data. Our results confirm the existence on the lattice of a remarkable phase of $(λΦ^4)_4$ where Spontaneous Symmetry Breaking is generated through ``dimensional transmutation''. The resulting effective potential shows no evidence for residual self-interaction effects of the shifted `Higgs' field $h(x)=Φ(x)-\langleΦ\rangle$, as predicted by ``triviality'', and cannot be reproduced in perturbation theory. Accordingly the mass of the Higgs particle, by itself, does not represent a measure of any observable interaction.
dc.description25 pages, uuencoded compressed (using GNU's gzip) tar file containing 1 LaTeX2e file + 1 encapsulated Postscript figure + elsart.cls + elsart.sty + elsart12.sty. A full Postscript version of this paper is available at http://www.ba.infn.it/disk$gruppo_4/cosmai/www/papers/204-95.PS
dc.identifierhttps://arxiv.org/abs/hep-th/9505048
dc.identifierhttp://arxiv.org/abs/hep-th/9505048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54195
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLattice effective potential of massless $(λΦ^4)_4$: `triviality' and spontaneous symmetry breaking
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