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Journal Article

Quantum field theoretic approach to neutrino oscillations in matter

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons30246

Akhmedov,  Evgeny
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons37633

Wilhelm,  Alina
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Fulltext (public)

1205.6231
(Preprint), 4KB

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There is no public supplementary material available
Citation

Akhmedov, E., & Wilhelm, A. (2013). Quantum field theoretic approach to neutrino oscillations in matter. Journal of high energy physics: JHEP, 2013(1): 165, pp. 1-40. doi:10.1007/JHEP01(2013)165.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-AB79-B
Abstract
We consider neutrino oscillations in non-uniform matter in a quantum field theoretic (QFT) approach, in which neutrino production, propagation and detection are considered as a single process. We find the conditions under which the oscillation probability can be sensibly defined and demonstrate how the properly normalized oscillation probability can be obtained in the QFT framework. We derive the evolution equation for the oscillation amplitude and discuss the conditions under which it reduces to the standard Schr\"odinger-like evolution equation. It is shown that, contrary to the common usage, the Schr\"odinger-like evolution equation is not applicable in certain cases, such as oscillations of neutrinos produced in decays of free pions provided that sterile neutrinos with $\Delta m^2\gtrsim 1$ eV$^2$ exist.