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Neutrino dispersion in external magnetic field and plasma

A. V. Kuznetsov·N. V. Mikheev
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Abstract

Neutrino dispersion properties in an active medium consisting of magnetic field and plasma are analysed. We consider in detail the contribution of a magnetic field into the neutrino self-energy operator Sigma (p). The results for this contribution were contradictory in the previous literature. For the conditions of the early universe where the background medium consists of a charge-symmetric plasma, the pure magnetic field contribution to the neutrino dispersion relation is proportional to (e B)^2 and thus comparable to the contribution of the magnetized plasma. We consider one more hypothetical effect of the active medium influence on neutrino properties, the so-called ``neutrino spin light'' discussed in the literature. We show that this effect has no physical region of realization because of the medium influence on photon dispersion.

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A. V. Kuznetsov, N. V. Mikheev. 2006-06-25. Neutrino dispersion in external magnetic field and plasma. https://arxiv.org/abs/hep-ph/0606259

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