Fermion masses in noncommutative geometry

Details Fermion masses in noncommutative geometry Fermion masses in noncommutative geometry

1999-05-06

arxiv.org/abs/hep-th/9905047v3

Int.J.Mod.Phys.B14:2477-2484,2000

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, REVTeX; typos are corrected in (19), "Possible Solutions" and "Conclusion" are modified; additional calculational det

Scientific paper

10.1142/S0217979200002016

Recent indications of neutrino oscillations raise the question of the possibility of incorporating massive neutrinos in the formulation of the Standard Model (SM) within noncommutative geometry (NCG). We find that the NCG requirement of Poincare duality constrains the numbers of massless quarks and neutrinos to be unequal unless new fermions are introduced. Possible scenarios in which this constraint is satisfied are discussed.

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