Large logarithmic rescaling of the scalar condensate: new lattice evidences

Abstract

Using two different methods, we have determined the rescaling of the scalar condensate $Z\equiv Z_{\ddot{I}}•$ near the critical line of a 4D Ising model. Our lattice data, in agreement with previous numerical indications, support the behavior $Z_{\ddot{I}}•\sim \ln (\hat{I}›)$, $\hat{I}›$ being the ultraviolet 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'.

11 pages, 2 figures, 3 tables