Massless Fermion Mixing for Semispinorial Torsional Interaction

Abstract

We consider a geometric approach to field theory in which torsion is present in the matter field equations, and we develop the consequences of the torsion-spin coupling for a pair of single-handed spinors; we show these interactions to have the structure of a flavour-changing neutral current giving rise to a mixing for two massless fermion fields: as torsional interactions for semispinors entail mixing for massless fermions we speculate that this mechanism could be responsible for oscillations of neutrinos.