A spectral geometry for the Standard Model without the fermion doubling

Abstract

We propose a simple model of noncommutative geometry to describe the structure of the Standard Model, which satisfies spin${}_c$ condition, has no fermion doubling, does not lead to the possibility of color symmetry breaking and explains the CP-violation as the failure of the reality condition for the Dirac operator.

arXiv comment12 pages

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Cited by in corpus (7)

• One generation of standard model Weyl representations as a single copy of $\mathbb{R}\otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}$
• One-loop corrections to the spectral action
• Superselection of the weak hypercharge and the algebra of the Standard Model
• Superconnection in the spin factor approach to particle physics
• Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models
• Spectral interactions between strings in the Higgs background
• Spectral action and the electroweak $\theta$-terms for the Standard Model without fermion doubling