Resilience of DBI screened objects and their ladder symmetries

• Published in: The journal of high energy physics Vol. 2024; no. 10; pp. 108 - 34
• Main Authors: Jiménez, Jose Beltrán, Bettoni, Dario, Brax, Philippe
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 15.10.2024; Springer Nature B.V; Springer; SpringerOpen
• Subjects: Black Holes; Born-Infeld theory; Boundary conditions; Charged particles; Classical and Quantum Gravitation; Classical Theories of Gravity; Cosmological models; Electric fields; Electromagnetism; Elementary Particles; General Relativity and Quantum Cosmology; Global Symmetries; Gravitational waves; High Energy Physics - Theory; Ladders; Love number; Multipoles; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity; Relativity Theory; Scalars; Screening; Spacetime; String Theory; Classical Theories of Gravity; Global Symmetries; Black Holes; Cosmological models; black hole; boundary condition; screening; long-range; perturbation; Born-Infeld model; general relativity; symmetry, scalar; multipole; structure; charge, conservation law; field theory, scalar; interaction, scalar; suppression; kinetic
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP10(2024)108

A bstract 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 ℓ 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.