Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-17
JHEP 0711:037,2007
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 5 figures, uses axodraw.sty. Extended version, matches the article published on JHEP
Scientific paper
10.1088/1126-6708/2007/11/037
An intriguing feature of the Standard Model is that the representations of the unbroken gauge symmetries are vector-like whereas those of the spontaneously broken gauge symmetries are chiral. Here we provide a toy model which shows that a natural explanation of this property could emerge in higher dimensional field theories and discuss the difficulties that arise in the attempt to construct a realistic theory. An interesting aspect of this type of models is that the 4D low energy effective theory is not generically gauge invariant. However, the non-invariant contributions to the observable quantities are very small, of the order of the square of the ratio between the light particle mass scale and the Kaluza-Klein mass scale. Remarkably, when we take the unbroken limit both the chiral asymmetry and the non-invariant terms disappear.
Salvio Alberto
Shaposhnikov Mikhail
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