Abstract

A quantum theory of a free massless spin-3/2 field on Einstein spaces (Rab=Λgab) is formulated in an algebraic framework. Attention is confined to the structure of the quantum operator algebra. In particular, the issue of positivity of the anticommutator is investigated and found to depend on whether or not the space-time admits “rero-frequency” neutrino solutions. Using methods developed for the purpose, a class of space-time that does not admit neutrino “zero modes” is characterized. An appendix introduces a useful technique for obtaining an initial value formulation of spinor field equations.

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