Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity

Conceptual and Technical Challenges for Quantum Gravity 2014 – Parallel session: Noncommutative Geometry and Quantum Gravity

Martinetti, Pierre^1

Universitá di Trieste, Dipartimento di Matematica e Informatica, via Valerio 12/1, I-34127, Italy^1

关键词: Mathematical physics;    Non-commutative geometry;    Quantum field theory;    Quantum gravity;    Quantum spacetime;    Technical challenges;    The standard model;    University of Rome;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/634/1/012001/pdf
DOI  :  10.1088/1742-6596/634/1/012001

来源: IOP

【 摘 要 】

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.