Finite Pseudo-Riemannian Spectral Triples and The Standard Model
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Publication:6300785
DOI10.1103/PHYSREVD.97.115029arXiv1804.09482WikidataQ115268792 ScholiaQ115268792MaRDI QIDQ6300785
Arkadiusz Bochniak, Andrzej Sitarz
Publication date: 25 April 2018
Abstract: Starting from the formulation of pseudo-Riemannian generalisation of real spectral triples we develop the data of geometries over finite-dimensional algebras with indefinite metric and their Riemannian parts. We then discuss the Standard Model spectral triple in this formalism and interpret the physical symmetry preserving the lepton number as a shadow of a finite pseudo-Riemannian structure.
Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)
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