70 citations · 261 across the 8 of their papers we have counts for
6 papers · 1 filter
Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations
Maria Vittoria Gargiulo, Mairi Sakellariadou, Giuseppe Vitiello
In this report we show that neutrino mixing is intrinsically contained in Connes' noncommutative spectral geometry construction, thanks to the introduction of the doubling of algeb…
Spectral action with zeta function regularization
Maxim A. Kurkov, Fedele Lizzi, Mairi Sakellariadou +1
In this paper we propose a novel definition of the bosonic spectral action using zeta function regularization, in order to address the issues of renormalizability and spectral dime…
Noncommutative spectral geometry: A guided tour for theoretical physicists
Mairi Sakellariadou
We review a gravitational model based on noncommutative geometry and the spectral action principle. The space-time geometry is described by the tensor product of a four-dimensional…
Gravitational Waves in the Spectral Action of Noncommutative Geometry
William Nelson, Joseph Ochoa, Mairi Sakellariadou
The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry s…
Constraining the Noncommutative Spectral Action via Astrophysical Observations
William Nelson, Joseph Ochoa, Mairi Sakellariadou
The noncommutative spectral action extends our familiar notion of commutative spaces, using the data encoded in a spectral triple on an almost commutative space. Varying a rather s…
Inflation in models with Conformally Coupled Scalar fields: An application to the Noncommutative Spectral Action
Michel Buck, Malcolm Fairbairn, Mairi Sakellariadou
Slow-roll inflation is studied in theories where the inflaton field is conformally coupled to the Ricci scalar. In particular, the case of Higgs field inflation in the context of t…