Chiral Asymmetry from a 5D Higgs Mechanism
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. © SISSA 2007.
Keywords: field theories in higher dimensions ; spontaneous symmetry breaking ; gauge symmetry ; Space-Time Dimensions ; Kaluza-Klein Theories ; Extra Dimensions ; Internal Spaces ; Brane Worlds ; Domain-Walls ; Fermions ; Compactification ; Reduction ; Anomalies
Record created on 2010-09-07, modified on 2016-08-08