Newton versus Coulomb for Kaluza–Klein modes
Abstract We consider a set of elementary compactifications of $$D+1$$ D + 1 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....
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2023-02-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | https://doi.org/10.1140/epjc/s10052-023-11228-0 |
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author | Karim Benakli Carlo Branchina Gaëtan Lafforgue-Marmet |
author_facet | Karim Benakli Carlo Branchina Gaëtan Lafforgue-Marmet |
author_sort | Karim Benakli |
collection | DOAJ |
description | Abstract We consider a set of elementary compactifications of $$D+1$$ D + 1 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. |
first_indexed | 2024-04-09T19:53:26Z |
format | Article |
id | doaj.art-b687360a1aaa47f69c1c2656707721de |
institution | Directory Open Access Journal |
issn | 1434-6052 |
language | English |
last_indexed | 2024-04-09T19:53:26Z |
publishDate | 2023-02-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
spelling | doaj.art-b687360a1aaa47f69c1c2656707721de2023-04-03T05:38:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-02-0183212110.1140/epjc/s10052-023-11228-0Newton versus Coulomb for Kaluza–Klein modesKarim Benakli0Carlo Branchina1Gaëtan Lafforgue-Marmet2Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHESorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHESorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Energies, LPTHEAbstract We consider a set of elementary compactifications of $$D+1$$ D + 1 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.https://doi.org/10.1140/epjc/s10052-023-11228-0 |
spellingShingle | Karim Benakli Carlo Branchina Gaëtan Lafforgue-Marmet Newton versus Coulomb for Kaluza–Klein modes European Physical Journal C: Particles and Fields |
title | Newton versus Coulomb for Kaluza–Klein modes |
title_full | Newton versus Coulomb for Kaluza–Klein modes |
title_fullStr | Newton versus Coulomb for Kaluza–Klein modes |
title_full_unstemmed | Newton versus Coulomb for Kaluza–Klein modes |
title_short | Newton versus Coulomb for Kaluza–Klein modes |
title_sort | newton versus coulomb for kaluza klein modes |
url | https://doi.org/10.1140/epjc/s10052-023-11228-0 |
work_keys_str_mv | AT karimbenakli newtonversuscoulombforkaluzakleinmodes AT carlobranchina newtonversuscoulombforkaluzakleinmodes AT gaetanlafforguemarmet newtonversuscoulombforkaluzakleinmodes |