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The Subtle Simplicity of Cosmological Correlators

by Chandramouli Chowdhury, Arthur Lipstein, Jiajie Mei, Ivo Sachs, Pierre Vanhove

Submission summary

Authors (as registered SciPost users): Ivo Sachs
Submission information
Preprint Link: https://arxiv.org/abs/2312.13803v2  (pdf)
Date submitted: 2024-03-04 11:07
Submitted by: Sachs, Ivo
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical

Abstract

We investigate cosmological correlators for conformally coupled $\phi^4$ theory in four-dimensional de Sitter space. These \textit{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 \textit{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.

Current status:
In refereeing

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