Coulomb problem for vector bosons

Abstract

The Coulomb problem for vector bosons W incorporates a well known difficulty; the charge of the boson localized in a close vicinity of the attractive Coulomb center proves be infinite. This fact contradicts the renormalizability of the Standard Model, which presumes that at small distances all physical quantities are well defined. The paradox is shown to be resolved by the QED vacuum polarization, which brings in a strong effective repulsion that eradicates the infinite charge of the boson on the Coulomb center. This property allows to define the Coulomb problem for vector bosons properly, making it consistent with the Standard Model.

15 pages, 2 figures

References in corpus (2)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Coulomb problem for vector bosons versus Standard Model

Cited by in corpus (4)

• Charge density of a positively charged vector boson may be negative
• Nuclear recoil and vacuum-polarization effects on the binding energies of supercritical H-like ions
• On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory
• When renormalizability is not sufficient: Coulomb problem for vector bosons