On the Semi-Classical Vacuum Structure of the Electroweak Interaction
Tolksdorf, Juergen
arXiv, 0310034 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-10-17
Classification:  Mathematical Physics,  Mathematics - Differential Geometry,  70S15,  70G45,  81V15 
@article{0310034,
     author = {Tolksdorf, Juergen},
     title = {On the Semi-Classical Vacuum Structure of the Electroweak Interaction},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310034}
}

Tolksdorf, Juergen. On the Semi-Classical Vacuum Structure of the Electroweak Interaction. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310034/