On the origin of neutrino oscillations through Lorentz violation

4th Symposium on Prospects in the Physics of Discrete Symmetries

Leite, Julio^1

King's College London, Department of Physics, WC2R 2LS, United Kingdom^1

关键词: Dyson equations;    Gauge fields;    Lorentz;    Lorentz invariance;    Lorentz violations;    Neutrino mass;    Neutrino oscillations;    Perturbative method;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/631/1/012054/pdf
DOI  :  10.1088/1742-6596/631/1/012054

来源: IOP

【 摘 要 】

The possibility of generating neutrino masses and oscillations through Lorentz- violating models is investigated. In the first model, an interaction between a fermion doublet and a Lorentz-violating gauge field, which play the role of a regulator field and, eventually, decouples from the fermions, is considered. In this case, by solving the (non-perturbative) Schwinger-Dyson equation, we show how masses and oscillations are generated dynamically. In the second model, fermions with LV kinematics interact via a four-fermion interaction and masses are shown to be generated dynamically when using another non-perturbative method. In both models, the recovery of Lorentz invariance is discussed and it is shown that the only physical observables are the dynamical masses that lead to neutrino oscillations.