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De Sitter scattering amplitudes in the Born approximation
by Renata Ferrero, Chris Ripken
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Chris Ripken |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2112.03766v3 (pdf) |
| Date accepted: | 2022-09-20 |
| Date submitted: | 2022-06-08 14:18 |
| Submitted by: | Ripken, Chris |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Author comments upon resubmission
List of changes
We refer here to the replies to the referees for the main changes made in the manuscript.
Apart from this, we fixed a number of typos.
The main changes are:
- The terminology on tree-level scattering amplitudes and operator methods was made consistent.
- We have extended our discussion of our results with respect to existing literature.
Published as SciPost Phys. 13, 106 (2022)