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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Published in:Journal of physics. Conference series Vol. 634; no. 1; pp. 12001 - 12008
Main Author: Martinetti, Pierre
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 03.08.2015
Subjects:
Elementary particles
Field theory
Gauge theory
Geometry
Gravity
Physics
Quantum field theory
Quantum gravity
Quantum theory
Standard model (particle physics)
String theory
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.
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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10.1007/JHEP09(2012)104
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SubjectTerms Elementary particles
Field theory
Gauge theory
Geometry
Gravity
Physics
Quantum field theory
Quantum gravity
Quantum theory
Standard model (particle physics)
String theory
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