A Mellin space approach to cosmological correlators

DOI10.1007/JHEP01(2020)090zbMATH Open1434.81117arXiv1906.12302WikidataQ126320386 ScholiaQ126320386MaRDI QIDQ2185310

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Publication date: 4 June 2020

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Abstract: We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in $left(d+1ight)$-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic structure of late-time correlators and, more generally, provides a convenient general $d$ framework for the study of conformal correlators in momentum space. In this work we focus on tree-level correlation functions of general scalars as a prototype, including $n$-point contact diagrams and $4$-point exchanges. For generic scalars, both the contact and exchange diagrams are given by (generalised) Hypergeometric functions, which reduce to existing expressions available in the literature for $d=3$ and external scalars which are either simultaneously conformally coupled or massless. This approach can also be used for the perturbative bulk evaluation of momentum-space boundary correlators in $left(d+1ight)$-dimensional anti-de Sitter space (Witten diagrams).

Full work available at URL: https://arxiv.org/abs/1906.12302

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