Scalar–spinor fields interaction in de Sitter ambient space formalism

Abstract

In de Sitter ambient space formalism, the massless minimally coupled scalar field can be constructed from a massless conformally coupled scalar field and a constant five-vector [Formula: see text]. Also, a constant five-vector [Formula: see text] appears in the interaction Lagrangian of massless minimally coupled scalar and spinor fields in this formalism. These constant five-vector fields can be fixed in the interaction case in the null curvature limit. Here, we will calculate the [Formula: see text] matrix elements of scalar–spinor field interaction in the tree level approximation. Then the constant five-vectors [Formula: see text] and [Formula: see text], will be fixed by comparing the [Formula: see text] matrix elements in the null curvature limits with the Minkowskian counterparts.