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Bibliographic Details
Main Authors: Jiménez, Jose Beltrán, Bettoni, Dario, Brax, Philippe
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.08627
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author Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
author_facet Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
contents Scalar field theories with a shift symmetry come equipped with the $K$-mouflage (or kinetic screening) mechanism that suppresses the scalar interaction between massive objects below a certain distance, the screening radius. In this work, we study the linear response of the scalar field distribution around a screened (point-like) object subject to a long range external scalar field perturbation for the Dirac-Born-Infeld theory. We find that, for regular boundary conditions at the position of the particle, some multipoles have vanishing response for a lacunar series of the multipole order $\ell$ for any dimension. Some multipoles also exhibit a logarithmic running when the number of spatial dimensions is even. We construct a ladder operator structure, with its associated ladder symmetries, formed by two sets of ladders that are related to the properties of the linear response and the existence of conserved charges. Our results exhibit a remarkable resemblance with the Love numbers properties of black holes in General Relativity, although some intriguing differences subsist.
format Preprint
id arxiv_https___arxiv_org_abs_2407_08627
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Resilience of DBI screened objects and their ladder symmetries
Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Scalar field theories with a shift symmetry come equipped with the $K$-mouflage (or kinetic screening) mechanism that suppresses the scalar interaction between massive objects below a certain distance, the screening radius. In this work, we study the linear response of the scalar field distribution around a screened (point-like) object subject to a long range external scalar field perturbation for the Dirac-Born-Infeld theory. We find that, for regular boundary conditions at the position of the particle, some multipoles have vanishing response for a lacunar series of the multipole order $\ell$ for any dimension. Some multipoles also exhibit a logarithmic running when the number of spatial dimensions is even. We construct a ladder operator structure, with its associated ladder symmetries, formed by two sets of ladders that are related to the properties of the linear response and the existence of conserved charges. Our results exhibit a remarkable resemblance with the Love numbers properties of black holes in General Relativity, although some intriguing differences subsist.
title Resilience of DBI screened objects and their ladder symmetries
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2407.08627