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

TL;DR

This paper explores how rotations and Bogoliubov transformations influence neutrino mixing, revealing their role in the non-trivial vacuum structure and the inequivalence of flavor and mass representations, with potential thermodynamic implications.

Contribution

It demonstrates that neutrino mixing transformations originate from the interplay of rotations and Bogoliubov transformations, explaining vacuum structure and representation inequivalence.

Findings

Non-commutativity causes unitary inequivalence of flavor and mass states

Vacuum structure is affected by the interplay of transformations

Thermodynamic interpretation of neutrino mixing is proposed

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.