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Interacting scalar fields in de Sitter space

Ganesh Devaraj·Martin B. Einhorn
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Abstract

We investigate the massless $λϕ^4$ theory in de~Sitter space. It is unnatural to assume a minimally coupled interacting scalar field, since $ξ=0$ is not a fixed point of the renormalization group once interactions are included. In fact, the only case where perturbation theory can be trusted is when the field is non-minimally coupled at the minimum of the effective potential. Thus, in perturbation theory, there is no infrared divergence associated with this scalar field.

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Ganesh Devaraj, Martin B. Einhorn. 1995-06-12. Interacting scalar fields in de Sitter space. https://arxiv.org/abs/gr-qc/9504024

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