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Localization of light particles on fermion induced domain walls. (English) Zbl 1094.81056
Zap. Nauchn. Semin. POMI 317, 11-42 (2004); translation in J. Math. Sci., New York 136, No. 1, 3533-3551 (2006).
The authors give a possible explanation for the appearance of light composite fermions and Higgs bosons on the four-dimensional domain wall representing our Universe. The five-dimensional fermions with their strong self-interactions have been used to discover the vacuum that breaks spontaneously the translation invariance at low energies. Its remarkable feature is appearance of a topological defect which induces the light particle trapping. The authors calculate the low-energy effective action which manifests the invariance under $$\tau$$ symmetry. A set of vacuum solutions are obtained. These solutions break the symmetry and the five-dimensional translational invariance.
The main result is that the induced relations between low-energy couplings for Yukawa and scalar field interactions allow making certain predictions for light particle masses and couplings themselves, which might provide a signature of the higher dimensional origin of particle physics at future experiments.

##### MSC:
 81V22 Unified quantum theories
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