Low-energy effects in brane worlds: Liennard-Wiechert potentials and Hydrogen Lamb shift
arXiv:physics/0611241 · doi:10.1007/s10714-007-0455-x
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+)-brane embedded in a (3++1)-space with 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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References in corpus (33)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- CODATA Recommended Values of the Fundamental Physical Constants: 2010
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Heterotic and Type I String Dynamics from Eleven Dimensions
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Brane-World Gravity
- Brane-world gravity
- Toward Realistic Intersecting D-Brane Models
- Large and infinite extra dimensions
- An exotic class of Kaluza-Klein models
- Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants
- Localization of Matter and Cosmological Constant on a Brane in Anti de Sitter Space
- An Early Proposal of "Brane World"
- Brane world: disappearing massive matter
- Exact Standard model Structures from Intersecting D5-Branes
- Fermion zero-modes on brane-worlds
- An Introduction to Extra Dimensions
- Is the electric charge conserved in brane world?
- Radiation reaction in various dimensions
- Fermion masses and quantum numbers from extra dimensions
- Gauge field localization on Abelian vortices in six dimensions
- QED from six-dimensional vortex and gauge anomalies
- Extra Dimensions in Particle Physics
- Tunneling into Extra Dimension and High-Energy Violation of Lorentz Invariance
- Localization of Kaluza-Klein gauge fields on a brane
- Probing the Planck Scale in Low-Energy Atomic Physics
- Casimir effect in a six-dimensional vortex scenario
- Lorentz and CPT Tests in Atomic Systems
- Gravitational and dilaton radiation from a relativistic membrane
- Collider Experiment: Strings, Branes and Extra Dimensions
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- Brane world corrections to scalar vacuum force in RSII-p
- Stability of a tachyon braneworld
- Gravitational potential of a point mass in a brane world
- Brane world regularization of point particle classical self-energy
- LHC signatures of vector boson emission from brane to bulk