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arxiv: 1608.04709 · v1 · pith:ZG4EOMQNnew · submitted 2016-08-16 · ✦ hep-th

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

classification ✦ hep-th
keywords transformationsbogoliubovmixingrotationsalgebraicariseassociatedconsequence
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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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