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Neutrino self-energy in a magnetized medium in arbitrary $ξ$-gauge

arXiv:hep-ph/0005192 · doi:10.1016/S0370-2693(00)01207-7

Abstract

We calculate the one-loop neutrino self-energy in a magnetized plasma to all orders in the magnetic field. The calculation is done in a general gauge. We obtain the dispersion relation and effective potential for neutrinos in a CP-symmetric plasma under various conditions, and show that, while the self-energy depends on the gauge parameter $ξ$, the dispersion relation and effective potential to leading order are independent of it.

13 pages, RevTeX, epsfig, axodraw