Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations

Maria Vittoria Gargiulo; Mairi Sakellariadou; Giuseppe Vitiello

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arXiv · 1502.02919

Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations

Maria Vittoria Gargiulo·Mairi Sakellariadou·Giuseppe Vitiello

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Abstract

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 algebra, which is connected to the Bogoliubov transformation. It is known indeed that these transformations are responsible for the mixing, turning the mass vacuum state into the flavor vacuum state, in such a way that mass and flavor vacuum states are not unitary equivalent. There is thus a red thread that binds the doubling of algebra of Connes' model to the neutrino mixing.

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Maria Vittoria Gargiulo, Mairi Sakellariadou, Giuseppe Vitiello. 2015-02-10. Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations. https://arxiv.org/abs/1502.02919

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