The Classical Two-Component Spinor Formalisms for General Relativity II

摘要

A complete algebraic description of the spin curvatures that arise in the frameworks of the Infeld-van der Waerden formalisms for general relativity is accomplished on the basis of the construction of a set of torsionless covariant commutators. It turns out that the implementation of such commutators under certain circumstances gives rise to a particular system of wave equations for gravitons and Infeld-van der Waerden photons which possess a gauge-invariance property associated with appropriate spinor-index configurations. The situation regarding the derivation of the natural couplings between Dirac fields and spin curvatures is likewise entertained.