1994/03/16 by M. Consoli, Consoli, M., P. M. Stevenson +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9403299
10 pages, LaTeX, no figures, DE-FG05-92ER40717-13, MAD/TH/94-4
arxiv created 1994/03/16 · arxiv updated 2009/11/30
The "triviality" of (λΦ4)4 quantum field theory means that the renormalized coupling λR vanishes for infinite cutoff. That result inherently conflicts with the usual perturbative approach, which begins by postulating a non-zero, cutoff-independent λR. We show how a "trivial" solution λR=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 λΦ4 theory coupled to the Standard Model predicts a 2.2 TeV Higgs, but does NOT imply strong interactions in the scalar sector.