Neutrino dispersion in external magnetic fields

A. V. Kuznetsov, N. V. Mikheev, G. G. Raffelt, and L. A. Vassilevskaya
Phys. Rev. D 73, 023001 – Published 5 January 2006; Erratum Phys. Rev. D 73, 029903 (2006)

Abstract

We calculate the neutrino self-energy operator Σ(p) in the presence of a magnetic field B. In particular, we consider the weak-field limit eBm2, where m is the charged-lepton mass corresponding to the neutrino flavor ν, and we consider a “moderate field” m2eBmW2. Our results differ substantially from the previous literature. For a moderate field, we show that it is crucial to include the contributions from all Landau levels of the intermediate charged lepton, not just the ground state. For the conditions of the early universe where the background medium consists of a charge-symmetric plasma, the pure B-field contribution to the neutrino dispersion relation is proportional to (eB)2 and thus comparable to the contribution of the magnetized plasma.

  • Figure
  • Received 13 May 2005
  • Publisher error corrected 9 January 2006

DOI:https://doi.org/10.1103/PhysRevD.73.023001

©2006 American Physical Society

Corrections

9 January 2006

Erratum

Publisher’s Note: Neutrino dispersion in external magnetic fields [Phys. Rev. D 73, 023001 (2006)]

A. V. Kuznetsov, N. V. Mikheev, G. G. Raffelt, and L. A. Vassilevskaya
Phys. Rev. D 73, 029903 (2006)

Authors & Affiliations

A. V. Kuznetsov1, N. V. Mikheev1, G. G. Raffelt2, and L. A. Vassilevskaya1

  • 1Division of Theoretical Physics, Department of Physics, Yaroslavl State University, Sovietskaya 14, 150000 Yaroslavl, Russian Federation
  • 2Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany

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Issue

Vol. 73, Iss. 2 — 15 January 2006

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