Rethinking Connes’ approach to the standard model of particle physics via non-commutative geometry

DOI10.1088/1367-2630/17/2/023021zbMath1452.81165arXiv1408.5367OpenAlexW2109049245MaRDI QIDQ3387630

Latham Boyle, Shane Farnsworth

Publication date: 13 January 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5367

zbMATH Keywords

non-commutative geometrystandard model of particle physicsnon-associative geometry\(B-L\) gauge symmetrybeyond the standard model physics

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65)

Related Items (16)

Particle models from special Jordan backgrounds and spectral triples ⋮ Extensions of the noncommutative Standard Model and the weak order one condition ⋮ On symmetry breaking in the B − L extended spectral standard model ⋮ Non-associative geometry and the spectral action principle ⋮ Exceptional quantum geometry and particle physics ⋮ Type-II two-Higgs-doublet model in noncommutative geometry ⋮ A new algebraic structure in the standard model of particle physics ⋮ The graded product of real spectral triples ⋮ The geometry of physical observables ⋮ A U(1)B−L-extension of the standard model from noncommutative geometry ⋮ Lorentz signature and twisted spectral triples ⋮ Fermionic spectral action and the origin of nonzero neutrino masses ⋮ Octonions, exceptional Jordan algebra and the role of the group \(F_4\) in particle physics ⋮ Algebraic backgrounds for noncommutative Kaluza-Klein theory. I. Motivations and general framework ⋮ Algebraic backgrounds for noncommutative Kaluza-Klein theory. II. The almost-commutative case and the standard model ⋮ Spectral Noncommutative Geometry Standard Model and all that

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