Large logarithmic rescaling of the scalar condensate: new lattice evidences

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Using two different methods, we have determined the rescaling of the scalar condensate $Z\equiv Z_ϕ$ near the critical line of a 4D Ising model. Our lattice data, in agreement with previous numerical indications, support the behavior $Z_ϕ\sim \ln (Λ)$, $Λ$ 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

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