The standard model in noncommutative geometry and fermion doubling

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 416, Issue 1-2, 1998, Pages 123-128

  Gracia Bondia J M ^a,b   Iochum, B ^c   Schucker T ^c  

^a UNIVERSIDAD DE COSTA RICA   (Costa Rica)

^b UNIVERSITY OF ZARAGOZA   (Spain)

^c CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345764711     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)01310-5     Document Type: Article

References (18)

1. A. Connes, J. Math. Phys. 36 (1995) 6194.
2. A.H. Chamseddine, A. Connes, Phys. Rev. Letters 77 (1996) 4868.
3. L. Carminati, B. Iochum, D. Kastler, T. Schücker, On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?, Proc. Operator Algebras and Quantum Field Theory, AMS Publications, to appear.
4. H. Figueroa, F. Lizzi, J.M. Gracia-Bondía, J.C. Várilly, A nonperturbative form of the spectral action principle in Noncommutative Geometry, hep-th/9701179, J. Geom. Phys., to appear.
5. C.P. Martín, J.M. Gracia-Bondía, J.C. Várilly, The Standard Model as a noncommutative geometry: the low energy regime, hep-th/9605001, Phys. Rep., in press.
6. F. Lizzi, G. Mangano, G. Miele, G. Sparano, Fermion Hilbert space and fermion doubling in the Noncommutative Geometry approach to gauge theories, hep-th/9610035, Phys. Rev. D 55 (1997) 6357.
7. F. Lizzi, G. Mangano, G. Miele, G. Sparano, Mirror fermions in noncommutative geometry, hep-th/9704184.
8. A. Connes, J. Lott, The metric aspect of noncommutative geometry, in Proceedings of the Cargèse Summer Conference, J. Fröhlich et al., eds. (Plenum Press, London, 1992).
9. G. Cammarata, R. Coquereaux, in Low-dimensional models in statistical physics and quantum field theory, H. Grosse, L. Pittner, eds. (Lecture Notes in Physics 469, Springer, Berlin, 1996).
10. K. Huang, Quarks, Leptons and Gauge Fields, 2nd edition (World Scientific, Singapore, 1992).
11. A. Connes, Brisure de symétrie spontanée et géométrie du point de vue spectral, Séminaire Bourbaki, 48ème année, No. 816 (1995-1996).
12. M. Walze, Ph.D. Thesis, Universität Mainz, 1996.
13. F. Cipriani, D. Guido, S. Scarlatti, J. Oper. Theory 35 (1996) 179.
14. J. Schwinger, Phys. Rev. 130 (1963) 1253.
15. A. Ashtekar, Phys. Rev. Lett. 57 (1986) 2244.
16. L.N. Chang, C. Soo, Phys. Rev. D 55 (1997) 2410 (see also hep-th/9702171).
17. F. Scheck, Electroweak and strong interactions (Springer, Berlin, 1996).
18. L. Carminati, B. Iochum, T. Schücker, Noncommutative Yang-Mills and noncommutative relativity: a bridge over troubled water, hep-th/9706105.