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Grand unification in the spectral Pati-Salam model

Journal of High Energy Physics volume 2015, Article number: 11 (2015) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We analyze the running at one-loop of the gauge couplings in the spectral Pati-Salam model that was derived in the framework of noncommutative geometry. There are a few different scenarios for the scalar particle content which are determined by the precise form of the Dirac operator for the finite noncommutative space. We consider these different scenarios and establish for all of them unification of the Pati-Salam gauge couplings. The boundary conditions are set by the usual RG flow for the Standard Model couplings at an intermediate mass scale at which the Pati-Salam symmetry is broken.

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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Affiliations

  1. Physics Department, American University of Beirut, Beirut, Lebanon

    Ali H. Chamseddine

  2. College de France, 3 rue Ulm, F-75005, Paris, France

    Ali H. Chamseddine & Alain Connes

  3. I.H.E.S., F-91440, Bures-sur-Yvette, France

    Alain Connes

  4. Department of Mathematics, The Ohio State University, Columbus, OH, 43210, U.S.A.

    Alain Connes

  5. Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen, Heyendaalseweg 135, 6525, AJ, Nijmegen, The Netherlands

    Walter D. van Suijlekom

Authors
  1. Ali H. Chamseddine
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  2. Alain Connes
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  3. Walter D. van Suijlekom
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Corresponding author

Correspondence to Walter D. van Suijlekom.

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ArXiv ePrint: 1507.08161

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Chamseddine, A.H., Connes, A. & van Suijlekom, W.D. Grand unification in the spectral Pati-Salam model. J. High Energ. Phys. 2015, 11 (2015). https://doi.org/10.1007/JHEP11(2015)011

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  • DOI: https://doi.org/10.1007/JHEP11(2015)011

Keywords

  • Beyond Standard Model
  • Non-Commutative Geometry
  • Spontaneous Symmetry Breaking
  • Renormalization Group