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<p>We investigate cosmological correlators for conformally coupled <i>ϕ</i><sup>4</sup> theory in four-dimensional de Sitter space. These <i>in-in</i> 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 <i>in-in</i> 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.</p>

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The subtle simplicity of cosmological correlators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月4日

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

摘要

We investigate cosmological correlators for conformally coupled ϕ4 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.