Symplectic symmetry of the neutrino mass and the seesaw mechanism - art. no. 053002

Citation
Ab. Balantekin et N. Ozturk, Symplectic symmetry of the neutrino mass and the seesaw mechanism - art. no. 053002, PHYS REV D, 6205(5), 2000, pp. 3002
Citations number
19
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6205
Issue
5
Year of publication
2000
Database
ISI
SICI code
0556-2821(20000901)6205:5<3002:SSOTNM>2.0.ZU;2-W
Abstract
We investigate the algebraic structure of the most general neutrino mass Ha miltonian and place the seesaw 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 em bedded in this Sp(4) group. This SU(2) also generates the seesaw mechanism.