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....

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Main Authors: Karim Benakli, Carlo Branchina, Gaëtan Lafforgue-Marmet
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
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.
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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
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