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.

On the rôle of rotations and Bogoliubov transformations in neutrino mixing

BLASONE, Massimo;GARGIULO, MARIA VITTORIA;VITIELLO, Giuseppe
2016-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4682666
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