Finding the standard model of particle physics a combinatorial problem

Computer Physics Communications

Volumn 178, Issue 3, 2008, Pages 230-247

  Jureit, Jan Hendrik ^a,b,c   Stephan, Christoph A ^a,b,c  

^a Université de Provence ^*  (Germany)

^b AIX MARSEILLE UNIVERSITY   (France)

^c CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

Finite spectral triples; Krajewski diagrams; Noncommutative geometry; Standard model of particle physics

Indexed keywords

COMBINATORIAL MATHEMATICS; COMPUTATIONAL GEOMETRY; MATHEMATICAL MODELS; PROBLEM SOLVING;

FINITE SPECTRAL TRIPLES; KRAJEWSKI DIAGRAMS; NONCOMMUTATIVE GEOMETRY; STANDARD MODEL OF PARTICLE PHYSICS;

HIGH ENERGY PHYSICS;

EID: 38149053907     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2007.02.115     Document Type: Article

References (14)

1. Connes A. Noncommutative Geometry (1994), Academic Press, London and San Diego
2. Chamseddine A., and Connes A. The spectral action principle. Comm. Math. Phys. 182 (1996) 155. hep-th/9606001
3. Krajewski T. Classification of finite spectral triples. J. Geom. Phys. 28 (1998) 1. hep-th/9701081
4. Paschke M., and Sitarz A. Discrete spectral triples and their symmetries. J. Math. Phys. 39 (1998) 6191. q-alg/9612029
5. Iochum B., Schücker T., and Stephan C. On a classification of irreducible almost commutative geometries. J. Math. Phys. 45 (2004) 5003. hep-th/0312276
6. Jureit J.-H., and Stephan C. On a classification of irreducible almost commutative geometries, a second helping. J. Math. Phys. 46 (2005) 043512. hep-th/0501134
7. Jureit J.-H., Schücker T., and Stephan C. On a classification of irreducible almost commutative geometries III. J. Math. Phys. 46 (2005) 072303. hep-th/0503190
8. Schücker T. Krajewski diagrams and spin lifts. hep-th/0501181
9. Schücker T. Forces from geometry. hep-th/0111236
10. Connes A. Noncommutative geometry and the standard model with neutrino mixing (2006). hep-th/0608226
11. Barrett J.W. A Lorentzian version of the noncommutative geometry of the standard model of particle physics (2006). hep-th/0608221
12. Jureit J., and Stephan C.A. On a classification of irreducible almost-commutative geometries. IV (2006). hep-th/0610040
13. Stephan C.A. Almost-commutative geometry, massive neutrinos and the orientability axiom in KO-dimension 6 (2006). hep-th/0610097
14. Chamseddine A., Connes A., and Marcolli M. Gravity and the standard model with neutrino mixing (2006). hep-th/0610241