Non-Perturbative Effects of Strong Magnetic Fields on Neutrino Self-energy: A New Approach

Abstract

The Ritus' $E_p$ eigenfunction method is extended to the case of spin-1 charged particles in a constant electromagnetic field and used to calculate the one-loop neutrino self-energy in the strong-field approximation $m_e^2\ll eB\ll M_W^2$. The implications of the obtained results for neutrino oscillations in the early Universe, assuming the existence of a sufficiently large ($m_e^2\ll eB\ll m_{\mu }^2$) primordial magnetic field, are discussed.

Comments: 7 pages, Talk given at the International Conference "Quantization, Gauge Theory and Strings" dedicated to the memory of Prof. Efim Fradkin; Moscow, Jun 5-10, 2000