https://doi.org/10.1140/epjc/s10052-023-11228-0
Regular Article -Theoretical Physics
Newton versus Coulomb for Kaluza–Klein modes
Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHE, 75005, Paris, France
Received:
20
November
2022
Accepted:
13
January
2023
Published online:
28
February
2023
We consider a set of elementary compactifications of 
to D 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 U(1), 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.
© The Author(s) 2023
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