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Updated: Oct 6, 2025

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Cosmological Scattering Equations
Humberto Gomez1,2, Renann Lipinski Jusinskas3, Arthur Lipstein1
1Department of Mathematical Sciences, Durham University, Durham DH1 3LE, United Kingdom.
Abstract:
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.
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