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arXiv · 1608.04709

On the role of the rotations and Bogoliubov transformations in neutrino mixing

Massimo Blasone·Maria Vittoria Gargiulo·Giuseppe Vitiello
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Abstract

We show that mixing transformations for Dirac fields arise as a consequence of the non-trivial interplay between rotations and Bogoliubov transformations at level of ladder operators. Indeed the non-commutativity between the algebraic generators of such transformations turns out to be responsible of the unitary inequivalence of the flavor and mass representations and of the associated vacuum structure. A possible thermodynamic interpretation is also investigated.

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Massimo Blasone, Maria Vittoria Gargiulo, Giuseppe Vitiello. 2016-08-16. On the role of the rotations and Bogoliubov transformations in neutrino mixing. https://doi.org/10.1016/j.physletb.2016.08.022

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