Noncommutative geometry and the standard model. (English) Zbl 1067.81077
Summary: Connes’ noncommutative approach to the standard model of electromagnetic, weak and strong forces is sketched as well as its unification with general relativity.
MSC:
| 81V22 | Unified quantum theories |
| 81T75 | Noncommutative geometry methods in quantum field theory |
| 83C65 | Methods of noncommutative geometry in general relativity |
| 81-02 | Research exposition (monographs, survey articles) pertaining to quantum theory |
References:
| [1] | Connes A., Noncommutative Geometry (1994) |
| [2] | DOI: 10.1063/1.531241 · Zbl 0871.58008 · doi:10.1063/1.531241 |
| [3] | Connes A., Comm. Math. Phys. 155 pp 109– |
| [4] | Madore J., Phys. Rev. 41 pp 3709– |
| [5] | DOI: 10.1007/s00220-004-1057-z · doi:10.1007/s00220-004-1057-z |
| [6] | DOI: 10.1007/s002200050126 · Zbl 0894.58007 · doi:10.1007/s002200050126 |
| [7] | Rauch H., Phys. Lett. 54 pp 425– · doi:10.1016/0375-9601(75)90798-7 |
| [8] | Lazzarini S., Phys. Lett. 510 pp 277– · Zbl 1062.81545 · doi:10.1016/S0370-2693(01)00595-0 |
| [9] | DOI: 10.1063/1.1418012 · Zbl 1059.58021 · doi:10.1063/1.1418012 |
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