Coulomb problem for vector bosons versus Standard Model

TL;DR

This paper resolves the Coulomb problem for vector bosons in the Standard Model by demonstrating how QED vacuum polarization prevents infinite charge localization, ensuring theoretical consistency.

Contribution

It shows that vacuum polarization effects eliminate the infinite charge issue for vector bosons in Coulomb fields, aligning the problem with Standard Model principles.

Findings

Vacuum polarization introduces a strong repulsion.

Infinite charge localization is prevented.

The Coulomb problem becomes well defined.

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.