De Sitter scattering amplitudes in the Born approximation
Renata Ferrero, Chris Ripken
SciPost Phys. 13, 106 (2022) · published 11 November 2022
- doi: 10.21468/SciPostPhys.13.5.106
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Abstract
We present a covariant framework to compute scattering amplitudes and potentials in a de Sitter background. In this setting, we compute the potential of a graviton-mediated scattering process involving two very massive scalars at tree level. Although the obtained scattering potential reproduces the Newtonian potential at short distances, on Hubble-size length scales it is affected by the constant curvature: effectively, it yields a repulsive force at sub-Hubble distances. This can be attributed to the expansion of the de Sitter universe. Beyond the de Sitter horizon, the potential vanishes identically. Hence, the scattering amplitude unveils the geometric properties of de Sitter spacetime in a novel and nontrivial way.
Cited by 4
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Renata Ferrero,
- 1 Chris Ripken