On a classification of irreducible almost commutative geometries

We classify all irreducible, almost commutative geometries whose spectral action is dynamically nondegenerate. Heavy use is made of Krajewski’s diagrammatic language. The motivation for our definition of dynamical nondegeneracy stems from particle physics where the fermion masses are nondegenerate....

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Veröffentlicht in:	Journal of mathematical physics 2004-12, Vol.45 (12), p.5003-5041
Hauptverfasser:	Iochum, Bruno, Schücker, Thomas, Stephan, Christoph
Format:	Artikel
Sprache:	eng
Schlagworte:	Classification Exact sciences and technology Geometry Mathematical analysis Mathematical methods in physics Mathematics Particle physics Physics Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We classify all irreducible, almost commutative geometries whose spectral action is dynamically nondegenerate. Heavy use is made of Krajewski’s diagrammatic language. The motivation for our definition of dynamical nondegeneracy stems from particle physics where the fermion masses are nondegenerate.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.1811372