Scalar spinor fields interaction in de Sitter ambient space formalism
arXiv:2104.01607 · doi:10.1142/S0217732319502055
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 . Also, a constant five-vector 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 matrix elements of scalar-spinor fields interaction in the tree level approximation. Then the constant five-vectors and , will be fixed by comparing the matrix elements in the null curvature limits with the Minkowskian counterparts.
arXiv comment10 pages, 1 figure
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