Triviality" and the Perturbative Expansion in $λΦ^4$ Theory
| dc.creator | Consoli, M. | |
| dc.creator | Stevenson, P. M. | |
| dc.date | 1994-03-16 | |
| dc.date.accessioned | 2026-07-07T03:56:45Z | |
| dc.date.available | 2026-07-07T03:56:45Z | |
| dc.description | The "triviality" of $(λΦ^4)_4$ quantum field theory means that the renormalized coupling $λ_R$ vanishes for infinite cutoff. That result inherently conflicts with the usual perturbative approach, which begins by postulating a non-zero, cutoff-independent $λ_R$. We show how a "trivial" solution $λ_R=0$ can be compatible with the known structure of perturbation theory to arbitrarily high orders, by a simple re-arrangement of the expansion. The "trivial" solution reproduces the result obtained by non-perturbative renormalization of the effective potential. The physical mass is finite, while the renormalized coupling strength vanishes: the two are NOT proportional. The classically scale-invariant $λΦ^4$ theory coupled to the Standard Model predicts a 2.2 TeV Higgs, but does NOT imply strong interactions in the scalar sector. | |
| dc.description | 10 pages, LaTeX, no figures, DE-FG05-92ER40717-13, MAD/TH/94-4 | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9403299 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9403299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/45112 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Triviality" and the Perturbative Expansion in $λΦ^4$ Theory | |
| dc.type | text |