Standard model of fermions on domain wall in five dimension space-time

The mechanism of the generation of the Standard model fermions on the domain wall in five dimension space-time is presented. As result of self-interaction five-dimensional fermions and gravity, induced by matter fields, in strong coupling regime in the model arises the spontaneous translational symmetry breaking which leads to the localization of light particles on $3+1$ dimensional domain wall (“3-brane”) which is embedded in five dimension anti-de Sitter space-time ($AdS_5$). On the basis of analyse the appropriate low-energy effective Action classical kink-like vacuum configurations for the gravity and scalar fields are investigated. The mass spectra for light composite particles and their coupling constant interaction in ultra-low-energy which are localized on the brane is explorated. We establish estimations of characteristic scales and constants interactions of the model, and also the relation among the bulk five dimensional gravitational constant, the curvature of $AdS_5$ space-time and the brane Newton's constants. The induced cosmological constant on the brane exactly vanishes in all orders of the perturbation theory. We find out that scalar interaction is strongly suppressed at ultra-low-energy and the brane fluctuations (branons) are suitable “sterile” canditates for the explanation of the Dark Matter phenomenon.