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Cosmological Scattering Equations

Gomez, Humberto and Lipinski Jusinskas, Renann and Lipstein, Arthur (2021) 'Cosmological Scattering Equations.', Physical Review Letters, 127 (25). p. 251604.


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.

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Publisher statement:Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Date accepted:29 November 2021
Date deposited:05 January 2022
Date of first online publication:17 December 2021
Date first made open access:05 January 2022

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