  It is shown that in the semi-classical approximation of the electroweak
sector of the Standard Model the moduli space of vacua can be identified with
the first de Rham cohomology group of space-time. This gives a slightly
different physical interpretation of the occurrence of the well-known
Ahoronov-Bohm effect. Moreover, when charge conjugation is taken into account,
the existence of a non-trivial ground state of the Higgs boson is shown to be
equivalent to the triviality of the electroweak gauge bundle. As a consequence,
the gauge bundle of the electromagnetic interaction must also be trivial.
Though derived at ``tree level'' the results presented here may also have some
consequences for quantizing, e. g., electromagnetism on an arbitrary curved
space-time.
