Magnetic field effects on lagrangians and neutrino self-energies in the Salam-Weinberg theory in arbitrary gauges

Physics – Nuclear Physics

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Scientific paper

An analytic expression for the W-field propagator of the Salam-Weinberg theory in a constant magnetic field is obtained. To obtain the result in an arbitrary weak (ξ) gauge, gauge-fixing terms (different from those usually chosen) must be introduced which are manifestly invariant under electromagnetic gauge transformations. This W-propagator is then used to calculate an expression for the neutrino self-energy in a magnetic field. The result implies an effective neutrino ``mass'' analogous to that found in the MSW effect. Such a ``mass'' may be observable in collapsing supernovae. The effective electromagnetic lagrangian is found in an arbitrary (ξ) gauge and shown to be gauge invariant.

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