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Main Authors: Jiménez, Jose Beltrán, Bettoni, Dario, Brax, Philippe, Janssen, Bert, Sampedro, Pablo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.08865
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author Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
Janssen, Bert
Sampedro, Pablo
author_facet Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
Janssen, Bert
Sampedro, Pablo
contents We study finite size effects on the linear response of spherically symmetric objects in Born-Infeld (BI) electromagnetism and Dirac-Born-Infeld (DBI) scalar field theories. Previous works show that the linear response coefficients for a point-like source vanish for odd multipoles above the dipole, a feature that resembles the vanishing of Love numbers for black holes. This work goes beyond the point-like idealisation and considers a sphere of finite radius. We find that the vanishing of the linear response coefficients ceases as they acquire a correction due to the finite size of the object. This introduces a hierarchy between the even and odd multipoles of the response coefficients determined by the separation of scales between the radius of the sphere and the screening scale of non-linearities. From a phenomenological viewpoint, the hierarchy between the odd and even multipoles would give access to the screening scale and the object's radius by measuring the behaviour of the potentials at infinity.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08865
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Finite size effects in DBI and Born-Infeld for screened spherically symmetric objects
Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
Janssen, Bert
Sampedro, Pablo
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We study finite size effects on the linear response of spherically symmetric objects in Born-Infeld (BI) electromagnetism and Dirac-Born-Infeld (DBI) scalar field theories. Previous works show that the linear response coefficients for a point-like source vanish for odd multipoles above the dipole, a feature that resembles the vanishing of Love numbers for black holes. This work goes beyond the point-like idealisation and considers a sphere of finite radius. We find that the vanishing of the linear response coefficients ceases as they acquire a correction due to the finite size of the object. This introduces a hierarchy between the even and odd multipoles of the response coefficients determined by the separation of scales between the radius of the sphere and the screening scale of non-linearities. From a phenomenological viewpoint, the hierarchy between the odd and even multipoles would give access to the screening scale and the object's radius by measuring the behaviour of the potentials at infinity.
title Finite size effects in DBI and Born-Infeld for screened spherically symmetric objects
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.08865