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Low-energy effects in brane worlds: Liennard–Wiechert potentials and Hydrogen Lamb shift

2006/11/24 by Hugo A. Morales-Técotl, Omar Pedraza, Luis O. Pimentel
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th #physics.atom-ph

paper · pdf · doi:10.1007/s10714-007-0455-x

published as Gen.Rel.Grav.39:1185-1202,2007 · Manuscript (LaTeX) and 2 figure files (eps format) used by the manuscript LaTeX file

arxiv created 2006/11/24 · openalex publication_date 2007/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Testing extra dimensions at low-energies may lead to interesting effects. In this work a test point charge is taken to move uniformly in the 3-dimensional subspace of a (3+n)-brane embedded in a (3+n+1)-space with n compact and one warped infinite spatial extra dimensions. We found that the electromagnetic potentials of the point charge match standard Liennard-Wiechert's at large distances but differ from them close to it. These are finite at the position of the charge and produce finite self-energies. We also studied a localized Hydrogen atom and take the deviation from the standard Coulomb potential as a perturbation. This produces a Lamb shift that is compared with known experimental data to set bounds for the parameter of the model. This work provides details and extends results reported in a previous Letter.

Citations