English

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

High Energy Physics - Theory 2007-05-23 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

The generally accepted ``triviality'' of λΦ4\lambda\Phi^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 λΦ4\lambda\Phi^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.

Keywords

Cite

@article{arxiv.hep-th/9402071,
  title  = {The Real Test of ``Triviality'' on the Lattice},
  author = {A. Agodi and G. Andronico and M. Consoli},
  journal= {arXiv preprint arXiv:hep-th/9402071},
  year   = {2007}
}

Comments

5 pages, RevTeX