The absolute minimum of the energy density of a Higgs-like field
We study the Higgs-like electromagnetic field in the vicinity of a large adiabatic neutral Higgs boson. The general approach is taken to evaluate the energy density of this field, where the energy density is given by the massless fraction of the massless energy density. We show that, in the case of a small adiabatic energy density, the Higgs-like field is completely dominated by local energy density. Moreover, we show that the Higgs-like field is essentially local, while it is locally dominated by a massless energy density. These results are consistent with the concept of the absolute minimum energy density of the Higgs-like field. We also show that the Higgs-like field has a unique dependence on the energy density of the Higgs-like field. We show that the energy density of the Higgs-like field is the same as that obtained from the Higgs-like field.