Connes' noncommutative differential geometry and the standard model

Journal of Geometry and Physics

Volumn 12, Issue 4, 1993, Pages 223-301

  Várilly, Joseph C ^a   Gracia Bondía, JoséM ^b,c  

^a UNIVERSIDAD DE COSTA RICA   (Costa Rica)

^b UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^c UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Dirac operator; Dixmier trace; K cycle; noncommutative geometry; Standard Model; Yang Mills functional

Indexed keywords

EID: 43949163688     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/0393-0440(93)90038-G     Document Type: Article

References (42)

1. Parameter restrictions in a noncommutative geometry model do not survive standard quantum corrections
2. Clifford modules
3. Non-commutative differential geometry
4. The action functional in non-commutative geometry
5. Compact metric spaces Fredholm modules and hyperfiniteness
6. Particle models and non-commutative geometry
7. The metric aspect of noncommutative geometry
8. Noncommutative geometry and theoretical physics
9. Existence de traces non normales
10. Uniqueness of quark and lepton representations in the standard model from the anomalies viewpoint
11. The index theorem and Clifford modules
12. Introduction to the Theory of Linear Nonselfadjoint Operators
13. A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
14. Connexions, courbures et classes caractéristiques en K-théorie algébrique
15. A class of completely continuous operators
16. Locally Multiplicatively Convex Topological Algebras
17. Characteristic Classes
18. Complex powers of an elliptic operator
19. Trace Ideals and Their Applications
20. Vector bundles and projective modules
21. Local invariants of spectral asymmetry