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Polarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case study

We consider a family of non-linear theories of electromagnetism that interpolate between Born-Infeld at small distances and the recently introduced ModMax at large distances. These models are duality invariant and feature a K-mouflage screening in the Born-Infeld regime. We focus on computing the st...

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Detalles Bibliográficos
Autores principales: Jiménez, Jose Beltrán, Bettoni, Dario, Brax, Philippe
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP02(2023)009
http://cds.cern.ch/record/2847495
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author Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
author_facet Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
author_sort Jiménez, Jose Beltrán
collection CERN
description We consider a family of non-linear theories of electromagnetism that interpolate between Born-Infeld at small distances and the recently introduced ModMax at large distances. These models are duality invariant and feature a K-mouflage screening in the Born-Infeld regime. We focus on computing the static perturbations around a point-like screened charge in terms of two decoupled scalar potentials describing the polar and the axial sectors respectively. Duality invariance imposes that the propagation speed of the odd perturbations goes to zero as fast as the effective screened charge of the object, potentially leading to strong coupling and an obstruction to the viability of the EFT below the screened radius. We then consider the linear response to external fields and compute the electric polarisability and the magnetic susceptibility. Imposing regularity of the perturbations at the position of the particle, we find that the polarisability for the odd multipoles vanishes whilst for the magnetisation Born-Infeld emerges as the only theory with vanishing susceptibility for even multipoles. The perturbation equations factorise in terms of ladder operators connecting different multipoles. There are two such ladder structures for the even sector: one that acts as an automorphism between the first four multipoles and another one that connects multipoles separated by four units. When requiring a similar ladder structure for the odd sector, Born-Infeld arises again as the unique theory. We use this ladder structure to relate the vanishing of the polarisability and the susceptibility to the values of conserved charges. Finally the perturbation equations correspond to a supersymmetric quantum mechanical system such that the polar sector can be described in terms of Schrödinger’s equations with four generalised hyperbolic Pösch-Teller potentials whose eigenfunctions are in correspondence with the multipoles.
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language eng
publishDate 2022
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spelling cern-28474952023-10-04T06:32:07Zdoi:10.1007/JHEP02(2023)009http://cds.cern.ch/record/2847495engJiménez, Jose BeltránBettoni, DarioBrax, PhilippePolarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case studyGeneral Relativity and CosmologyParticle Physics - TheoryWe consider a family of non-linear theories of electromagnetism that interpolate between Born-Infeld at small distances and the recently introduced ModMax at large distances. These models are duality invariant and feature a K-mouflage screening in the Born-Infeld regime. We focus on computing the static perturbations around a point-like screened charge in terms of two decoupled scalar potentials describing the polar and the axial sectors respectively. Duality invariance imposes that the propagation speed of the odd perturbations goes to zero as fast as the effective screened charge of the object, potentially leading to strong coupling and an obstruction to the viability of the EFT below the screened radius. We then consider the linear response to external fields and compute the electric polarisability and the magnetic susceptibility. Imposing regularity of the perturbations at the position of the particle, we find that the polarisability for the odd multipoles vanishes whilst for the magnetisation Born-Infeld emerges as the only theory with vanishing susceptibility for even multipoles. The perturbation equations factorise in terms of ladder operators connecting different multipoles. There are two such ladder structures for the even sector: one that acts as an automorphism between the first four multipoles and another one that connects multipoles separated by four units. When requiring a similar ladder structure for the odd sector, Born-Infeld arises again as the unique theory. We use this ladder structure to relate the vanishing of the polarisability and the susceptibility to the values of conserved charges. Finally the perturbation equations correspond to a supersymmetric quantum mechanical system such that the polar sector can be described in terms of Schrödinger’s equations with four generalised hyperbolic Pösch-Teller potentials whose eigenfunctions are in correspondence with the multipoles.We consider a family of non-linear theories of electromagnetism that interpolate between Born-Infeld at small distances and ModMax at large distances. These models are duality invariant and feature a $K-$mouflage screening in the Born-Infeld regime. We focus on computing the static perturbations around a point-like screened charge in terms of two decoupled scalar potentials describing the polar and the axial sectors respectively. Duality invariance imposes that the propagation speed of the odd perturbations goes to zero as fast as the effective screened charge of the object, potentially leading to strong coupling and an obstruction to the viability of the EFT below the screened radius. We then consider the linear response to external fields and compute the electric polarisability and the magnetic susceptibility. Imposing regularity of the perturbations at the position of the particle, we find that the polarisability for the odd multipoles vanishes whilst for the magnetisation Born-Infeld emerges as the only theory with vanishing susceptibility for even multipoles. The perturbation equations factorise in terms of ladder operators connecting different multipoles. There are two such ladder structures for the even sector: one that acts as an automorphism between the first four multipoles and another one that connects multipoles separated by four units. When requiring a similar ladder structure for the odd sector, Born-Infeld arises again as the unique theory. We use this ladder structure to relate the vanishing of the polarisability and the susceptibility to the values of conserved charges. Finally the perturbation equations correspond to a supersymmetric quantum mechanical system such that the polar sector can be described in terms of Schrödinger's equations with four generalised hyperbolic Pösch-Teller potentials whose eigenfunctions are in correspondence with the multipoles.arXiv:2211.16404CERN-TH-2022-204oai:cds.cern.ch:28474952022-11-29
spellingShingle General Relativity and Cosmology
Particle Physics - Theory
Jiménez, Jose Beltrán
Bettoni, Dario
Brax, Philippe
Polarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case study
title Polarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case study
title_full Polarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case study
title_fullStr Polarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case study
title_full_unstemmed Polarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case study
title_short Polarisability and magnetisation of electrically $K$-mouflaged objects: the Born-Infeld ModMax case study
title_sort polarisability and magnetisation of electrically $k$-mouflaged objects: the born-infeld modmax case study
topic General Relativity and Cosmology
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP02(2023)009
http://cds.cern.ch/record/2847495
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