Connes-Lott model building on the two-sphere

Reviews in Mathematical Physics

Volumn 13, Issue 1, 2001, Pages 1-28

  Mignaco, J A ^a   Sigaud, C ^a   Vanhecke, F J ^a   Da Silva, A R ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Connes Lott model; Noncommutative geometry; Real

Indexed keywords

EID: 0035583810     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X01000582     Document Type: Article

References (28)

1. N. Berline, E. Getzler and M. Vergne, Heat Kernels and Dirac Operators, Springer, Berlin, 1996
2. A. Connes, Noncommutative Geometry, Acad. Press, London, 1994.
3. A. Connes, J. Math. Phys. 36 (1995) 6194.
4. A. Connes, Comm. Math. Phys. 182 (1996) 155.
5. A. Connes and J. Lott, Nucl. Phys. (Proc. Suppl.) 18B (1990) 29.
6. J. Fröhlich and K. Osterwalder, Helv. Phys. Acta 47 (1974) 781.
7. R. Coquereaux, J. Geom. Phys. 6 (1989) 425.
8. M. Dubois-Violette and T. Masson, Lett. Math. Phys. 37 (1996) 467.
9. C. Jayewardena, Helv. Phys. Acta 61 (1988) 636.
10. D. Kastler and T. Schücker, Rev. Math. Phys. 8 (1996) 205.
11. T. Krajewski, J. Geom. Phys. 28 (1998) 2.
12. F. Lizzi, G. Mangano, G. Miele and G. Sparano, hep-th/9610035.
13. C. P. Martín, J. M. Gracia-Bondía and J. Várilly, Phys. Rep. 294 (1998) 363.
14. M. R. Mehta, Phys. Rev. Lett. 65 (1990) 1983; Mod. Phys. Lett. A 6 (1991) 2811.
15. M. R. Mehta, Phys. Rev. Lett. 65 (1990) 1983; Mod. Phys. Lett. A 6 (1991) 2811.
16. J. A. Mignaco, C. Sigaud, F. J. Vanhecke and A. R. Da Silva, Rev. Math. Phys. 9 (1997) 689.
17. E. Newman and R. Penrose, J. Math. Phys. 7 (1966) 863.
18. K. Osterwalder and R. Schrader, Helv. Phys. Acta 46 (1973) 277.
19. M. Paschke and A. Sitarz, MZ-TH/96-40, Mainz, 1996.
20. A. Staruszkiewicz, J. Math. Phys. 8 (1967) 2221; G. Pensov, Compt. Rend. Acad. Sci. URSS 54 (1946) 563.
21. A. Staruszkiewicz, J. Math. Phys. 8 (1967) 2221; G. Pensov, Compt. Rend. Acad. Sci. URSS 54 (1946) 563.
22. F. J. Vanhecke, Lett. Math. Phys. 50 (1999) 157, and math-phys/9903029.
23. P. van Nieuwenhuizen and A. Waldron, Phys. Lett. B 389 (1990) 29; also hep-th/ 9610035 and A. Waldron hep-th/9702057.
24. P. van Nieuwenhuizen and A. Waldron, Phys. Lett. B 389 (1990) 29; also hep-th/ 9610035 and A. Waldron hep-th/9702057.
25. J. C. Várilly, "An introduction to noncommutative geometry", Monsaraz lectures, Lisbon, 1997.
26. J. C. Várilly and J. M. Gracia-Bondía, J. Geom. Phys. 12 (1993) 223.
27. T. T. Wu and C. N. Yang, Phys. Rev. D12 (1975) 3845; Nucl. Phys. B107 (1976) 365.
28. T. T. Wu and C. N. Yang, Phys. Rev. D12 (1975) 3845; Nucl. Phys. B107 (1976) 365.