Noncommutative Geometry and the Physics of the LHC Era

Christoph A. Stephan ()
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Christoph A. Stephan: Universität Potsdam, Institut für Mathematik

A chapter in Quantum Mathematical Physics, 2016, pp 471-495 from Springer

Abstract: Abstract Noncommutative geometry allows to unify the basic building blocks of particle physics, Yang-Mills-Higgs theory and general relativity, into a single geometrical framework. The resulting effective theory constrains the couplings of the standard model and reduces the number of degrees of freedom. After an introduction of the basic ideas of Noncommutative geometry, I will present its predictions for the standard model and the few known models beyond the standard model based on a classification scheme for finite spectral triples. Most of these models, including the Standard Model, are now ruled out by LHC data. But interesting extensions of the standard model which agree with the presumed Higgs mass, predict new particles (Fermions, Scalars and Bosons) and await further experimental data.

Keywords: Noncommutative geometry; Beyond standard model; Spectral action (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26902-3_20

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DOI: 10.1007/978-3-319-26902-3_20

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