De Sitter scattering amplitudes in the Born approximation
High Energy Physics - Theory
2022-11-16 v3 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.2112.03766,
title = {De Sitter scattering amplitudes in the Born approximation},
author = {Renata Ferrero and Chris Ripken},
journal= {arXiv preprint arXiv:2112.03766},
year = {2022}
}