Cosmological Scattering Equations

Gomez, Humberto; Lipinski Jusinskas, Renann; Lipstein, Arthur

doi:10.1103/physrevlett.127.251604

Cosmological Scattering Equations

Gomez, Humberto; Lipinski Jusinskas, Renann; Lipstein, Arthur

Authors

Humberto Gomez

Renann Lipinski Jusinskas

Dr Arthur Lipstein arthur.lipstein@durham.ac.uk
Associate Professor

Abstract

We propose a worldsheet formula for tree-level correlation functions describing a scalar field with arbitrary mass and quartic self-interaction in de Sitter space, which is a simple model for inflationary cosmology. The correlation functions are located on the future boundary of the spacetime and are Fourier-transformed to momentum space. Our formula is supported on mass-deformed scattering equations involving conformal generators in momentum space and reduces to the CHY formula for ϕ^4 amplitudes in the flat space limit. Using the global residue theorem, we verify that it reproduces the Witten diagram expansion at four and six points, and sketch the extension to n points.

Citation

Gomez, H., Lipinski Jusinskas, R., & Lipstein, A. (2021). Cosmological Scattering Equations. Physical Review Letters, 127(25), Article 251604. https://doi.org/10.1103/physrevlett.127.251604

Journal Article Type	Article
Acceptance Date	Nov 29, 2021
Online Publication Date	Dec 17, 2021
Publication Date	2021
Deposit Date	Jan 4, 2022
Publicly Available Date	Jan 5, 2022
Journal	Physical Review Letters
Print ISSN	0031-9007
Electronic ISSN	1079-7114
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	127
Issue	25
Article Number	251604
DOI	https://doi.org/10.1103/physrevlett.127.251604
Related Public URLs	https://arxiv.org/abs/2106.11903

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