Entangled neutrino states in a toy model QFT

Evslin, Jarah (Aff1, 0000 0004 1804 2516, grid.450259.f, Institute of Modern Physics, NanChangLu 509, 730000, Lanzhou, China) (Aff2, 0000 0004 1797 8419, grid.410726.6, University of the Chinese Academy of Sciences, YuQuanLu 19A, 100049, Beijing, China) ; Mohammed, Hosam (Aff1, 0000 0004 1804 2516, grid.450259.f, Institute of Modern Physics, NanChangLu 509, 730000, Lanzhou, China) (Aff2, 0000 0004 1797 8419, grid.410726.6, University of the Chinese Academy of Sciences, YuQuanLu 19A, 100049, Beijing, China) ; Ciuffoli, Emilio (Aff1, 0000 0004 1804 2516, grid.450259.f, Institute of Modern Physics, NanChangLu 509, 730000, Lanzhou, China) ; Zhou, Yao (Aff1, 0000 0004 1804 2516, grid.450259.f, Institute of Modern Physics, NanChangLu 509, 730000, Lanzhou, China) (Aff2, 0000 0004 1797 8419, grid.410726.6, University of the Chinese Academy of Sciences, YuQuanLu 19A, 100049, Beijing, China)

12 June 2019

Abstract: It has been claimed that wave packets must be covariant and also that decohered neutrino oscillations are always revived during measurement. These conjectures are supported by general arguments which are not specific to the electroweak theory, and so if they are true for neutrinos they will also be true for simplified models. In this paper we produce such a simplified model in which the neutrino wave function, including its entanglement with the source particle and the environment, can be calculated explicitly in quantum field theory. It exhibits neutrino oscillation, which is reduced at late times by decoherence due to interactions of the source with the environment. One simple lesson from this model is that only the difference between the environmental interactions before and after neutrino emission can reduce the amplitude of neutrino oscillations. The model will be used to test the conjectures in a companion paper.


Published in: EPJC 79 (2019) 491 DOI: 10.1140/epjc/s10052-019-7009-8
License: CC-BY-3.0



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