Mode-dependent field renormalization and triviality in λΓ4 theory
Abstract
A continuum limit of the (λΓ4)4 theory exists which is ``trivial'' (all scattering amplitudes vanish), but which does not correspond to the zero-renormalized-coupling limit of conventional perturbation theory. This allows Spontaneous Symmetry Breaking and a very heavy, but still weakly interacting, Higgs boson. We answer some criticisms of this work, emphasizing that results from renormalization-group-improved perturbation theory are not valid. The phase transition encountered as the bare mass-squared is made more and more negative is first order, contrary to the assumption of the conventional perturbative ``RG-improvement'' program.
- Publication:
-
Physics Letters B
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0370-2693(96)01436-0
- Bibcode:
- 1997PhLB..391..144C