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A spectral geometry for the Standard Model without the fermion doubling

High Energy Physics - Theory 2020-04-29 v1 Mathematical Physics math.MP Quantum Algebra

Abstract

We propose a simple model of noncommutative geometry to describe the structure of the Standard Model, which satisfies spinc{}_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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Cite

@article{arxiv.2001.02902,
  title  = {A spectral geometry for the Standard Model without the fermion doubling},
  author = {Arkadiusz Bochniak and Andrzej Sitarz},
  journal= {arXiv preprint arXiv:2001.02902},
  year   = {2020}
}

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12 pages