Grand unification in the spectral Pati-Salam model

Chamseddine, Ali H.; Connes, Alain; van Suijlekom, Walter D.

doi:10.1007/JHEP11(2015)011

Regular Article - Theoretical Physics
Open Access
Published: 04 November 2015

Grand unification in the spectral Pati-Salam model

Ali H. Chamseddine^1,2,
Alain Connes^2,3,4 &
Walter D. van Suijlekom⁵

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

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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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Authors and Affiliations

Physics Department, American University of Beirut, Beirut, Lebanon
Ali H. Chamseddine
College de France, 3 rue Ulm, F-75005, Paris, France
Ali H. Chamseddine & Alain Connes
I.H.E.S., F-91440, Bures-sur-Yvette, France
Alain Connes
Department of Mathematics, The Ohio State University, Columbus, OH, 43210, U.S.A.
Alain Connes
Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen, Heyendaalseweg 135, 6525, AJ, Nijmegen, The Netherlands
Walter D. van Suijlekom

Authors

Ali H. Chamseddine
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Alain Connes
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Walter D. van Suijlekom
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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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Received: 24 August 2015
Revised: 23 September 2015
Accepted: 03 October 2015
Published: 04 November 2015
DOI: https://doi.org/10.1007/JHEP11(2015)011

Keywords

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