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A spectral geometry for the Standard Model without the fermion doubling

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arxiv 2001.02902 v1 pith:LBAHF6NT submitted 2020-01-09 hep-th math-phmath.MPmath.QA

classification hep-thmath-phmath.MPmath.QA
keywords modelconditiondoublingfermiongeometrystandardbreakingcolor
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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.

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