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

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

2006-11-24

arxiv.org/abs/physics/0611241v1

Gen.Rel.Grav.39:1185-1202,2007

Physics

Atomic Physics

Manuscript (LaTeX) and 2 figure files (eps format) used by the manuscript LaTeX file

Scientific paper

10.1007/s10714-007-0455-x

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.

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