On the analytic continuation and asymptotic behaviour of the two-point function in massless $ϕ^4$-theory in Euclidean de Sitter space
Year: 2026
Type: preprint
Abstract: For the two-point function of the massless, minimally-coupled, real scalar field in Euclidean de Sitter space with $λϕ^4$-interaction, we compute the leading-logarithmic terms in the invariant distance of the two-point function to $O(λ^2)$, which counts as the fifth subleading order (N$^5$LO) in the $\sqrtλ$-expansion. We show that the analytic continuation to Lorentzian signature coincides with the expansion of the analogous quantity computed in the stochastic formalism. We determine the large-order behaviour of the stochastic series expansion and prove its Borel summability, which suggests that the Euclidean theory can be used to extract the late-time behaviour of massless correlation functions in Lorentzian de Sitter space.
Source: arXiv (Cornell University)
Authors: Beneke, Martin, Sanfilippo, Andrea F.
Institutions: Technical University of Munich, Universidad de Granada
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221805310