51 citations · 117 across the 7 of their papers we have counts for
6 papers · 1 filter
Spectral Noncommutative Geometry, Standard Model and all that
Agostino Devastato, Maxim Kurkov, Fedele Lizzi
We review the approach to the standard model of particle interactions based on spectral noncommutative geometry. The paper is (nearly) self-contained and presents both the mathemat…
Lorentz signature and twisted spectral triples
Agostino Devastato, Shane Farnsworth, Fedele Lizzi +1
We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We di…
Noncommutative geometry, Grand Symmetry and twisted spectral triple
Agostino Devastato
In the noncommutative geometry approach to the standard model we discuss the possibility to derive the extra scalar field sv- initially suggested by particle physicist to stabilize…
Twisted spectral triple for the Standard Model and spontaneous breaking of the Grand Symmetry
Agostino Devastato, Pierre Martinetti
Grand symmetry models in noncommutative geometry have been introduced to explain how to generate minimally (i.e. without adding new fermions) an extra scalar field beyond the stand…
Spectral Action and Gravitational effects at the Planck scale
Agostino Devastato
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. Incl…
Grand Symmetry, Spectral Action, and the Higgs mass
Agostino Devastato, Fedele Lizzi, Pierre Martinetti
In the context of the spectral action and the noncommutative geometry approach to the standard model, we build a model based on a larger symmetry. With this "grand symmetry" it is…