Scalar–spinor fields interaction in de Sitter ambient space formalism

DOI10.1142/S0217732319502055zbMATH Open1421.81088arXiv2104.01607MaRDI QIDQ5230511

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Publication date: 28 August 2019

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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 $calS$ 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 $calS$ matrix elements in the null curvature limits with the Minkowskian counterparts.

Full work available at URL: https://arxiv.org/abs/2104.01607

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