Cosmological Scattering Equations

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

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
• Public URL: https://durham-repository.worktribe.com/output/1219565
• Related Public URLs: https://arxiv.org/abs/2106.11903