The subtle simplicity of cosmological correlators

Abstract We investigate cosmological correlators for conformally coupled ϕ 4 theory in four-dimensional de Sitter space. These in-in correlators differ from scattering amplitudes for massless particles in flat space due to the spacelike structure of future infinity in de Sitter. They also require a...

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Main Authors: Chandramouli Chowdhury, Arthur Lipstein, Jiajie Mei, Ivo Sachs, Pierre Vanhove
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2025)007
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author Chandramouli Chowdhury
Arthur Lipstein
Jiajie Mei
Ivo Sachs
Pierre Vanhove
author_facet Chandramouli Chowdhury
Arthur Lipstein
Jiajie Mei
Ivo Sachs
Pierre Vanhove
author_sort Chandramouli Chowdhury
collection DOAJ
description Abstract We investigate cosmological correlators for conformally coupled ϕ 4 theory in four-dimensional de Sitter space. These in-in correlators differ from scattering amplitudes for massless particles in flat space due to the spacelike structure of future infinity in de Sitter. They also require a regularization which preserves de Sitter-invariance, which makes the flat space limit subtle to define at loop-level. Nevertheless we find that up to two loops, the in-in correlators are structurally simpler than the wave function and have the same transcendentality as flat space amplitudes. Moreover, we show that their loop integrands can be recast in terms of flat space integrands and can be derived from a novel recursion relation.
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issn 1029-8479
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spelling doaj-art-84bd9a9c219a421ba2ede3caa38f00a02025-08-20T03:06:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025315410.1007/JHEP03(2025)007The subtle simplicity of cosmological correlatorsChandramouli Chowdhury0Arthur Lipstein1Jiajie Mei2Ivo Sachs3Pierre Vanhove4Mathematical Sciences and STAG Research Centre, University of SouthamptonDepartment of Mathematical Sciences, Durham UniversityDepartment of Mathematical Sciences, Durham UniversityArnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität MünchenInstitut de Physique Théorique, Université Paris-Saclay, CEA, CNRSAbstract We investigate cosmological correlators for conformally coupled ϕ 4 theory in four-dimensional de Sitter space. These in-in correlators differ from scattering amplitudes for massless particles in flat space due to the spacelike structure of future infinity in de Sitter. They also require a regularization which preserves de Sitter-invariance, which makes the flat space limit subtle to define at loop-level. Nevertheless we find that up to two loops, the in-in correlators are structurally simpler than the wave function and have the same transcendentality as flat space amplitudes. Moreover, we show that their loop integrands can be recast in terms of flat space integrands and can be derived from a novel recursion relation.https://doi.org/10.1007/JHEP03(2025)007AdS-CFT CorrespondenceScattering Amplitudes
spellingShingle Chandramouli Chowdhury
Arthur Lipstein
Jiajie Mei
Ivo Sachs
Pierre Vanhove
The subtle simplicity of cosmological correlators
Journal of High Energy Physics
AdS-CFT Correspondence
Scattering Amplitudes
title The subtle simplicity of cosmological correlators
title_full The subtle simplicity of cosmological correlators
title_fullStr The subtle simplicity of cosmological correlators
title_full_unstemmed The subtle simplicity of cosmological correlators
title_short The subtle simplicity of cosmological correlators
title_sort subtle simplicity of cosmological correlators
topic AdS-CFT Correspondence
Scattering Amplitudes
url https://doi.org/10.1007/JHEP03(2025)007
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