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

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.

accepted for publication, in printing PLB

References in corpus (6)

• Entanglement in neutrino oscillations
• Multipartite entangled states in particle mixing
• Flavour Condensates in Brane Models and Dark Energy
• Towards a microscopic construction of flavour vacua from a space-time foam model
• Non-abelian gauge structure in neutrino mixing
• Physical flavor neutrino states

Cited by in corpus (4)

• Flavor vacuum entanglement in boson mixing
• On the flavor/mass dichotomy for mixed neutrinos: a phenomenologically motivated analysis based on lepton charge conservation in neutron decay
• Generalized generating functional for mixed-representation Green's functions: A quantum mechanical approach
• Neutrino oscillations as many-particle induced interference between distinguishable particles