Grand Unification in the Spectral Pati-Salam Model

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

arxiv: 1507.08161 · v1 · pith:LLA6PTPSnew · submitted 2015-07-29 · ✦ hep-ph · hep-th

Grand Unification in the Spectral Pati-Salam Model

Ali H. Chamseddine , Alain Connes , Walter D. van Suijlekom This is my paper

classification ✦ hep-ph hep-th

keywords pati-salamcouplingsmodeldifferentgaugenoncommutativespectralunification

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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 scenario's 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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Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.