Abstract
A theory is constructed for a free fermion field with spin 1/2 and zero mass, on the basis of the equation (d+aγ5-b)ψ(x) = 0, wherea2 = b2 = 1. The theory is invariant against continuous Lorentz transformation. It is also invariant against combined Landau reflection, time reversal, and the Schwinger strong space-time inversion, but is not invariant against space reflection or change transformation. An important role is played in this theory by the appearance of projectors. The latter arise as a result of the presence of a zero divisor in the mass term of the equation. They enter in the normalization conditions for the solutions of the equation, and hence in all the conserved operators and their eigenfunctions. Results of the analogous researches by Tokuoka [20] and Gupta [21] are also discussed.
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