Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations
Abstract
In this report we show that neutrino mixing is intrinsically contained in Connes’ noncommutatives pectral 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.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 July 2015
 DOI:
 10.1088/17426596/626/1/012014
 arXiv:
 arXiv:1502.02919
 Bibcode:
 2015JPhCS.626a2014V
 Keywords:

 High Energy Physics  Theory
 EPrint:
 9 pages, DICE 14 proceeding