2005/04/12 by A. J. Bracken, Bracken, A. J.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/0504111
12 pages. Latex_2e file
arxiv created 2005/04/12 · arxiv updated 2009/12/01
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.