String-Like Electrostatic Interaction from QED with Infinite Magnetic Field

TL;DR

This paper explores how an infinite magnetic field causes the electrostatic field of a charge to form a string-like structure, with potential and energy characteristics influenced by quantum electrodynamics effects.

Contribution

It introduces a novel analysis of electrostatic fields in infinite magnetic fields, revealing string-like behavior and potential growth patterns near charges.

Findings

Electrostatic potential grows as |x_3|(ln |x_3| + const) near the charge.

The energy of the string breaking is finite and close to the effective photon mass.

Electrostatic fields are squeezed into a string structure in infinite magnetic fields.

Abstract

In the limit of infinite external magnetic field B the static field of an electric charge is squeezed into a string parallel to B. Near the charge the potential grows like |x_3|(ln |x_3| + const) with the coordinate x_3 along the string. The energy of the string breaking is finite and very close to the effective photon mass.