Resummation of Cosmological Correlators and their UV-Regularization

Fuente: arXiv
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Main Authors: Nowinski, Matthias, Sachs, Ivo
Format: Preprint
Published: 2025
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author Nowinski, Matthias
Sachs, Ivo
author_facet Nowinski, Matthias
Sachs, Ivo
contents Cosmological correlators are important observables in cosmology. They are often approximated by de Sitter space correlators. In this paper, we give a first precise diagrammatical computation of higher loop diagrams to all orders for a conformally coupled scalar in four dimensions. We show that, in contrast to flat space, diagrams of necklace topology do not resum using the natural application of de Sitter-invariant regularization and are thus hard to evaluate. We propose a modification to the UV-regularization of the loops, compatible with de Sitter invariance, but much easier to work with. The modified diagrams can be resummed to give a glimpse at non-perturbative effects for de Sitter correlators. Furthermore, they fit nicely with recently proposed cosmological dressing rules.
format Preprint
id arxiv_https___arxiv_org_abs_2507_21224
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Resummation of Cosmological Correlators and their UV-Regularization
Nowinski, Matthias
Sachs, Ivo
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Cosmological correlators are important observables in cosmology. They are often approximated by de Sitter space correlators. In this paper, we give a first precise diagrammatical computation of higher loop diagrams to all orders for a conformally coupled scalar in four dimensions. We show that, in contrast to flat space, diagrams of necklace topology do not resum using the natural application of de Sitter-invariant regularization and are thus hard to evaluate. We propose a modification to the UV-regularization of the loops, compatible with de Sitter invariance, but much easier to work with. The modified diagrams can be resummed to give a glimpse at non-perturbative effects for de Sitter correlators. Furthermore, they fit nicely with recently proposed cosmological dressing rules.
title Resummation of Cosmological Correlators and their UV-Regularization
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2507.21224