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arXiv · 2104.01607

Scalar spinor fields interaction in de Sitter ambient space formalism

Y. Ahmadi·F. Jalilifard·M. V. Takook
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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 $\cal S$ 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 $\cal S$ matrix elements in the null curvature limits with the Minkowskian counterparts.

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Y. Ahmadi, F. Jalilifard, M. V. Takook. 2021-04-04. Scalar spinor fields interaction in de Sitter ambient space formalism. https://doi.org/10.1142/s0217732319502055

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