On the rôle of rotations and Bogoliubov transformations in neutrino mixing

Blasone, Massimo; Gargiulo, Maria Vittoria; Vitiello, Giuseppe

doi:10.1016/j.physletb.2016.08.022

Cited by 25 publications

(19 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[6], the responsible for such an inequivalence is the non commutativity between rotation and Bogoliubov transformation in Eq. (C10).…”

Section: Appendix A: Plane-wave Representation In Minkowski Spacetimementioning

confidence: 99%

“…The origin of this result lies in the fact that mixing transformations, which act as pure rotations on massive particle states in quantum mechanics (QM), have a more complicated structure at level of field operators. Indeed, they include both rotations and Bogolubov transformations [6], thereby inducing a condensate of particle/antiparticle pairs into the flavor vacuum. This has been pointed out first for Dirac fermions [2] and later for other fields [3,7,8], showing in both cases the limits of the quantum mechanical approach in the treatment of flavor mixing.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonthermal signature of the Unruh effect in field mixing

2017

Self Cite

View full text Add to dashboard Cite

Mixing transformations for a uniformly accelerated observer (Rindler observer) are analyzed within the quantum field theory framework as a basis for investigating gravitational effects on flavor oscillations. In particular, the case of two charged boson fields with different masses is discussed.In spite of such a minimal setting, the standard Unruh radiation is found to loose its characteristic thermal interpretation due to the interplay between the Bogolubov transformation hiding in field mixing and the one arising from the Rindler spacetime structure. The modified spectrum detected by the Rindler observer is explicitly calculated in the limit of small mass difference.

show abstract

“…[6], the responsible for such an inequivalence is the non commutativity between rotation and Bogoliubov transformation in Eq. (C10).…”

Section: Appendix A: Plane-wave Representation In Minkowski Spacetimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonthermal signature of the Unruh effect in field mixing

2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…Flavor states are defined only as auxiliary notions, which bring the baryonic number into the picture, and their Fock space is unphysical. An alternative procedure in the context of neutrino mixing has been developed in [42] (see also [43] and references therein, and [44] as well for a critique of the method), invoking unitarily inequivalent representations, but in which the flavor Fock space features as a physical space. The technical details are at variance with the approach presented in our work.…”

Section: Anomalous Propagatormentioning

confidence: 99%

Quantum field theory of particle oscillations: Neutron-antineutron conversion

Tureanu

2018

Phys. Rev. D

View full text Add to dashboard Cite

We formulate the quantum field theory description of neutron-antineutron oscillations in the framework of canonical quantization, in analogy with the Bardeen-Cooper-Schrieffer theory and the Nambu-JonaLasinio model. The physical vacuum of the theory is a condensate of pairs of would-be neutrons and antineutrons in the absence of the baryon-number violating interaction. The quantization procedure defines uniquely the mixing of massive Bogoliubov quasiparticle states that represent the neutron. In spite of not being mass eigenstates, neutron and antineutron states are defined on the physical vacuum and the oscillation formulated in asymptotic states. The exchange of the baryonic number with the vacuum condensate engenders what may be observed as neutron-antineutron oscillation. The convergence between the present canonical approach and the Lagrangian/path integral approach to neutron oscillations is shown by the calculation of the anomalous (baryon-number violating) propagators. The quantization procedure proposed here can be extended to neutrino oscillations and, in general, to any particle oscillations.

show abstract

“…with definite masses is not simply a rotation, but contains a Bogoliubov transformation [15]. A consequence of this fact is that flavor and mass representations are unitarily inequivalent in the infinite volume limit: lim…”

Section: Introductionmentioning

confidence: 99%

Neutrino mixing and general covariance in the inverse $β$ decay

Blasone¹,

Lambiase²,

Luciano³

et al. 2018

Proceedings of Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2017)

View full text Add to dashboard Cite

We review recent developments on the rôle of neutrino mixing in the inverse β decay of accelerated protons. We show that calculations in the inertial and comoving frames agree -thus preserving general covariance -only when taking neutrino asymptotic states to be flavor (rather than mass) eigenstates. Our conclusions are valid in the approximation in which Pontecorvo states are correctly representing neutrino flavor states. We speculate about the general case involving exact flavor states and finally comment on other approaches recently appeared in literature.

show abstract

On the rôle of rotations and Bogoliubov transformations in neutrino mixing

Cited by 25 publications

References 43 publications

Nonthermal signature of the Unruh effect in field mixing

Nonthermal signature of the Unruh effect in field mixing

Quantum field theory of particle oscillations: Neutron-antineutron conversion

Neutrino mixing and general covariance in the inverse $β$ decay

Contact Info

Product

Resources

About