Newton versus Coulomb for Kaluza-Klein modes
Abstract
We consider a set of elementary compactifications of to spacetime dimensions on a circle: first for pure general relativity, then in the presence of a scalar field, first free then with a non minimal coupling to the Ricci scalar, and finally in the presence of gauge bosons. We compute the tree-level amplitudes in order to compare some gravitational and non-gravitational amplitudes. This allows us to recover the known constraints of the , dilatonic and scalar Weak Gravity Conjectures in some cases, and to show the interplay of the different interactions. We study the KK modes pair-production in different dimensions. We also discuss the contribution to some of these amplitudes of the non-minimal coupling in higher dimensions for scalar fields to the Ricci scalar.
Keywords
Cite
@article{arxiv.2210.00477,
title = {Newton versus Coulomb for Kaluza-Klein modes},
author = {Karim Benakli and Carlo Branchina and Gaëtan Lafforgue-Marmet},
journal= {arXiv preprint arXiv:2210.00477},
year = {2023}
}
Comments
35 pages, 7 figures. One typo in an equation corrected