Analysis in space-time bundles. II: The spinor and form bundles
[For part I see the preceding review.] In the present paper, the authors extend their investigation begun in part I to consider the cases of spinor and form bundles on a model of space-time which appears to be particularly natural from the standpoints of causality, summetry, and universality. Their study include invariant wave equations (those of Dirac and Maxwell); their solution manifolds and various stable invariant subspaces of section spaces of the bundles; the indecomposability of the relevant invariant subspace chains; explicit parallelizations of the bundles; a basis for spinor fields which diagonalize certain covariant quantum numbers; and local multilinear invariants of bundles including their specialization to Fermi and Yukawa interaction Langrangians. Contents include and introduction, and major sections devoted to duals, invariants, weights; the spinor bundle; the form bundle; the Fermi and Yukawa Lagrangians; and an errata for the previous paper. For part III see the following review.
scientific article; zbMATH DE number 3850132