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Cosmological Scattering Equations

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arxiv 2106.11903 v3 pith:S3Y5EU6V submitted 2021-06-22 hep-th gr-qc

Cosmological Scattering Equations

classification hep-th gr-qc
keywords spaceformulacorrelationequationsfunctionsmomentumpointsscattering
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\phi^4$ 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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Cited by 4 Pith papers

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