De Sitter scattering amplitudes in the Born approximation
arXiv:2112.03766 · doi:10.21468/SciPostPhys.13.5.106
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.
References in corpus (9)
- Exact evolution equation for the effective potential
- Nonperturbative Quantum Gravity
- De Sitter Space and Eternity
- xPerm: fast index canonicalization for tensor computer algebra
- xPert: Computer algebra for metric perturbation theory
- Characters of different secular effects in various patches of de Sitter space
- String Tension between de Sitter vacua and Curvature Corrections
- Massive scalar field evolution in de Sitter
- Conservation laws and scattering for de Sitter classical particles