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 $A^{\alpha }$. Also, a constant five-vector $B^{\alpha }$ 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 $\mathcal{S}$ matrix elements of scalar-spinor fields interaction in the tree level approximation. Then the constant five-vectors $A^{\alpha }$ and $B^{\alpha }$, will be fixed by comparing the $\mathcal{S}$ matrix elements in the null curvature limits with the Minkowskian counterparts.

10 pages, 1 figure

References in corpus (3)

• Fourier analysis and holomorphic decomposition on the one-sheeted hyperboloid
• Electron-photon interaction in de Sitter ambient space formalism
• Quantum de Sitter-black hole in ambient space formalism

Cited by in corpus (2)

• De Sitter scalar-spinor interaction in Minkowski limit
• Interaction of massless minimally coupled scalar field with spinor field in de Sitter universe