On the Semi-Classical Vacuum Structure of the Electroweak Interaction

Details On the Semi-Classical Vacuum Structure of the Electroweak Interaction On the Semi-Classical Vacuum Structure of the Electroweak Interaction

2003-10-17

arxiv.org/abs/math-ph/0310034v1

Physics

Mathematical Physics

26 pages, no figures

Scientific paper

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.

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