Baryon number violation and novel canonical anti-commutation relations
arXiv:1711.01810 · doi:10.1016/j.physletb.2017.12.034
Abstract
The possible neutron-antineutron oscillation is described by an effective quadratic Lagrangian analogous to the BCS theory. It is shown that the conventional equal-time anti-commutation relations of the neutron variable are modified by the baryon number violating terms. This is established by the Bjorken--Johnson--Low prescription and also by the canonical quantization combined with equations of motion. This novel canonical behavior can give rise to an important physical effect, which is illustrated by analyzing the Lagrangian that violates the baryon number but gives rise to the degenerate effective Majorana fermions and thus no neutron-antineutron oscillation. Technically, this model is neatly treated using a relativistic analogue of the Bogoliubov transformation.
arXiv comment14 pages
References in corpus (12)
- Neutron-Antineutron Oscillations: Theoretical Status and Experimental Prospects
- Search for n-nbar oscillation in Super-Kamiokande
- Neutron-Anti-Neutron Oscillation: Theory and Phenomenology
- Search for Neutron-Antineutron Oscillations Using Multiprong Events in Soudan 2
- CP Violating Baryon Oscillations
- The search for neutron-antineutron oscillations at the Sudbury Neutrino Observatory
- CPT, CP, and C transformations of fermions, and their consequences, in theories with B-L violation
- Parity-doublet representation of Majorana fermions and neutron oscillation
- Majorana Neutrino as Bogoliubov Quasiparticle
- Naturalness in see-saw mechanism and Bogoliubov transformation
- Neutron-antineutron oscillation and parity and CP symmetries
- Majorana neutrinos in seesaw mechanism and Bogoliubov quasiparticles