Abstract

We investigate the geometric interpretation of the standard model based on noncommutative geometry. It is pointed out that real spectral triples, i.e., triples satisfying the reality structure J, can nevertheless contain specific and well-defined couplings of lepton doublets to right-handed up antiquarks, via scalar leptoquarks. We explore in detail the consequences of the possible existence of such leptoquarks, both for the Connes-Lott and the spectral action, and compare with physical bounds. For either case the results are in contradiction with experimental information.

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