Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity
Noncommutative geometry in its many incarnations appears at the crossroad of many researches in theoretical and mathematical physics: from models of quantum spacetime(with or without breaking of Lorentz symmetry) to loop gravity and string theory, from early considerations on UV-divergenciesin quant...
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| Vydané v: | Journal of physics. Conference series Ročník 634; číslo 1; s. 12001 - 12008 |
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| Jazyk: | English |
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Bristol
IOP Publishing
03.08.2015
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| ISSN: | 1742-6588, 1742-6596 |
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| Abstract | Noncommutative geometry in its many incarnations appears at the crossroad of many researches in theoretical and mathematical physics: from models of quantum spacetime(with or without breaking of Lorentz symmetry) to loop gravity and string theory, from early considerations on UV-divergenciesin quantum field theory to recent models of gauge theories on noncommutatives pacetime, from Connes description of the standard model of elementary particles to recent Pati-Salam like extensions. We list several of these applications, emphasizing also the original point of view brought by noncommutative geometry on the nature of time. This text serves as an introduction to the volume of proceedings of the parallel session "Noncommutative geometry and quantum gravity", as a part of the conference "Conceptual and technical challenges in quantum gravity" organized at the University of Rome La Sapienza sin September 2014. |
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| AbstractList | Noncommutative geometry in its many incarnations appears at the crossroad of many researches in theoretical and mathematical physics: from models of quantum spacetime(with or without breaking of Lorentz symmetry) to loop gravity and string theory, from early considerations on UV-divergenciesin quantum field theory to recent models of gauge theories on noncommutatives pacetime, from Connes description of the standard model of elementary particles to recent Pati-Salam like extensions. We list several of these applications, emphasizing also the original point of view brought by noncommutative geometry on the nature of time. This text serves as an introduction to the volume of proceedings of the parallel session “Noncommutative geometry and quantum gravity”, as a part of the conference “Conceptual and technical challenges in quantum gravity” organized at the University of Rome La Sapienza sin September 2014. |
| Author | Martinetti, Pierre |
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| Cites_doi | 10.1007/BF02506388 10.1007/JHEP01(2014)042 10.4171/JNCG/108 10.1007/JHEP11(2013)132 10.4310/ATMP.2007.v11.n6.a3 10.1007/JHEP09(2012)104 10.1007/BF02104515 10.1088/0264-9381/11/12/007 10.1163/15685241-12341259 10.1007/s11005-012-0582-5 10.1038/418034a 10.1088/0264-9381/20/22/015 10.1007/JHEP09(2013)051 |
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| References | 11 12 Chamseddine A H (13) 1996; 186 14 Connes A (19) 1994; 11 18 Buchholz D (16) 2014 Snyder H S (3) 1947 Martinetti P (17) 2003; 20 2 Devastato A (15) Piacitelli G (1) 2010; 6 6 Connes A (5) 1994 7 8 9 Wallet J-C (4) 2008 20 10 |
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