Cosmological Scattering Equations

We propose a world sheet 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 a...

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Bibliographic Details
Published in:Physical review letters 2021-12, Vol.127 (25), p.251604-251604, Article 251604
Main Authors: Gomez, Humberto, Lipinski Jusinskas, Renann, Lipstein, Arthur
Format: Article
Language:English
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Summary:We propose a world sheet 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.127.251604