2013

Spectral Action and Gravitational effects at the Planck scale

Devastato, Agostino

Understand

We discuss the possibility to extend the spectral action up to energy close to the Planck scale, taking also into account the gravitational effects given by graviton exchange.

Including this contribution in the theory, the coupling constant unification is not compromised, but is shifted to the Planck scale rendering all gauge couplings asymptotically free.
In the scheme of noncommutative geometry, the gravitational effects change the main standard model coupling constants, leading to a restriction of the free parameters of the theory compatible with the Higgs and top mass prediction.
We also discuss consequences for the neutrino mass and the see-saw mechanism.

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Then

J. H. Jureit, T. Krajewski, T. Schucker and C. A. Stephan, “Seesaw and noncommutative geometry” Phys. Lett. B 654
Original
2007
Later among the works it cites.
M. Shaposhnikov and C. Wetterich, “Asymptotic safety of gravity and the Higgs boson mass,” Phys. Lett. B 683
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2010
Later among the works it cites.
A. H. Chamseddine and A. Connes, “Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I” Fortsch. Phys. 58
Original
2010
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M. Marcolli and E. Pierpaoli, “Early Universe models from Noncommutative Geometry,” Adv. Theor. Math. Phys. 14
Original
2010
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A. A. Andrianov, M. A. Kurkov and F. Lizzi, “Spectral action, Weyl anomaly and the Higgs-Dilaton potential,” JHEP 1110
Original
2011
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M. A. Kurkov and F. Lizzi, “Higgs-Dilaton Lagrangian from Spectral Regularization,” Mod. Phys. Lett. A 27
Original
2012
Later among the works it cites.
A. A. Andrianov and F. Lizzi, “Bosonic Spectral Action Induced from Anomaly Cancelation,” JHEP 1005
Original
2036
Closest in time.

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