Modedependent field renormalization and triviality in λΓ^{4} theory
Abstract
A continuum limit of the (λΓ^{4})_{4} theory exists which is ``trivial'' (all scattering amplitudes vanish), but which does not correspond to the zerorenormalizedcoupling 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 renormalizationgroupimproved perturbation theory are not valid. The phase transition encountered as the bare masssquared is made more and more negative is first order, contrary to the assumption of the conventional perturbative ``RGimprovement'' program.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(96)014360
 Bibcode:
 1997PhLB..391..144C