Standard Model Higgs field and energy scale of gravity
The effective potential of the Higgs scalar field in the Standard Model may have a second minimum at ultrahigh values of the field. This second minimum then determines, by radiative corrections, the values of the top-quark and Higgs-boson masses at the standard minimum corresponding to the electroweak energy scale. An argument is presented that this ultrahigh energy scale is proportional to the energy scale of gravity, E_Planck, considered to be characteristic of a spacetime foam. In the context of a simple model, the existence of kink-type wormhole solutions places a lower bound on the ultrahigh scalar expectation value and this lower bound is of the order of E_Planck.