Cosmological Scattering Equations
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Date
2021
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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 φ4 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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Keywords
Cosmology, Correlation function, Inflationary cosmology, Level correlation, Momentum spaces, Scalar fields, Scattering equations, Self-interactions, Simple modeling, Spacetime, Tree level
Citation
Gomez, H., Lipinski Jusinskas, R., & Lipstein, A. (2021). Cosmological Scattering Equations. Physical Review Letters, 127(25). https://doi.org/10.1103/PhysRevLett.127.251604