Volume 80, Number 4, November 2007
Article Number 41001
Number of page(s) 5
Section The Physics of Elementary Particles and Fields
Published online 17 October 2007
EPL, 80 (2007) 41001
DOI: 10.1209/0295-5075/80/41001

Constructing Dirac linear fermions in terms of non-linear Heisenberg spinors

M. Novello

Institute of Cosmology, Relativity and Astrophysics ICRA/CBPF - Rua Dr. Xavier Sigaud 150, Urca 22290-180 Rio de Janeiro, RJ, Brazil

received 14 June 2007; accepted in final form 14 September 2007; published November 2007
published online 17 October 2007

We show that the massive (or massless) neutrinos can be described as special states of Heisenberg nonlinear spinors. As a by-product of this decomposition a particularly attractive consequence appears: the possibility of relating the existence of only three species of mass-less neutrinos to such internal non-linear structure. At the same time it allows the possibility that neutrino oscillation can occur even for massless neutrinos.

14.60.Pq - Neutrino mass and mixing.

© Europhysics Letters Association 2007