Symplectic Symmetry of the Neutrino Mass and the See-Saw Mechanism

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, REVTEX

Scientific paper

10.1103/PhysRevD.62.053002

We investigate the algebraic structure of the most general neutrino mass
Hamiltonian and place the see-saw mechanism in an algebraic framework. We show
that this Hamiltonian can be written in terms of the generators of an Sp(4)
algebra. The Pauli-Gursey transformation is an SU(2) rotation which is embedded
in this Sp(4) group. This SU(2) also generates the see-saw mechanism.

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