Universal Journal of Physics and Application Vol. 2(3-4), pp. 185 - 196
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MASSIVE NEUTRINOS, MASSLESS NEUTRINOS, AND so(4,2) INVARIANCE

AUTHOR(S) INFORMATION: Bracken A.J.

ABSTRACT

Dirac's equation for a massless particle is conformal invariant, and accordingly has an so(4, 2) invariance algebra. It is known that although Dirac's equation for a massive spin 1/2 particle is not conformal invariant, it too has an so(4, 2) invariance algebra. It is shown here that the algebra of operators associated with a 4-component massless particle, or two flavors of 2-component massless particles, can be deformed into the algebra of operators associated with a spin 1/2 particle with positive rest mass. It is speculated that this may be exploited to describe massless neutrino mixing.