Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Gargiulo, Maria Vittoria^1 ; Sakellariadou, Mairi^2 ; Vitiello, Giuseppe^1

Dipartimento di Fisica E.R.Caianiello, I.N.F.N., Università di Salerno, Salerno

I-84100, Italy^1

Department of Physics, King's College, University of London, Strand, London

WC2R 2LS, United Kingdom^2

关键词: Bogoliubov;    Neutrino mixing;    Neutrino oscillations;    Non-commutative;    Vacuum state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012014/pdf
DOI  :  10.1088/1742-6596/626/1/012014

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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.