Quantum field theory of singletons. The Rac

Abstract

Dirac singletons are the most elementary physical objects on de Sitter space; massless particles are two-singleton states. Singleton field theory is characterized by a gauge structure that is strikingly similar to that of massless particles. The Rac and the Di are described by a scalar field and a spinor field, respectively, so the appearance of a fully developed gauge structure is remarkable. In this paper Rac field theory is quantized by using an indefinite metric, in close analogy with the Gupta–Bleuler method of electrodynamics. A Lagrangian theory of interacting Rac fields is also given, including the unique invariant local-interaction between Racs.