Coulomb problem for vector bosons versus Standard Model

Abstract

The Coulomb problem for vector bosons W(+/-) propagating in an attractive Coulomb field incorporates a known difficulty, i.e. the total charge of the boson localized on the Coulomb center turns out 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 and eradicates the infinite charge of the boson on the Coulomb center. The effect makes the Coulomb problem for vector bosons well defined and consistent with the Standard Model.

4 pages

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Equations of Motion of Spinning Relativistic Particle in External Fields
• COULOMB EFFECTS IN W+ W- PRODUCTION
• Higher-order Coulomb Corrections to the Threshold e+ e- --> W+ W- Cross Section
• Quadrupole interaction of relativistic quantum particle with external fields
• Analysis of wave equations for spin-1 particles interacting with an electromagnetic field

Cited by in corpus (5)

• Relativistic Coulomb problem for particles with arbitrary half-integer spin
• Coulomb problem for vector bosons
• 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
• When renormalizability is not sufficient: Coulomb problem for vector bosons