Lattice measurement of the rescaling of the scalar condensate

Abstract

We have determined the rescaling of the scalar condensate $Z\equiv Z_{\varphi }$ near the critical line of a 4D Ising model. Our lattice data, supporting previous numerical indications, confirm the behaviour $Z_{\varphi }\sim \ln (\mathrm{cutoff})$. This result is predicted in an alternative description of symmetry breaking where there are no upper bounds on the Higgs boson mass from `triviality'.

Comments: 8 pages, 1 figure, 2 tables