On the magnetic counterpart of the Uehling correction
Abstract
In this work, we investigate the magnetic properties of the quantum vacuum in the context of QED. We calculate the quantum relativistic correction of virtual particle-anti-particle pair creation to the field of a classical point-like idealized magnet. Using such correction, we find the induced currents stemming from the effect of the polarization of the vacuum, which behaves like a paramagnetic medium. We also calculate the correction to the electric dipole potential and show that the well-known symmetry between the classical fields of point electric and magnetic dipoles is broken at the quantum level. Lastly, to illustrate possible applications of our findings, we briefly discuss the effect of the corrections obtained here in the context of neutron-neutron scattering and the hyperfine splitting for hydrogen-like atoms.
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BibTeX
@misc{azevedo2026magnetic,
title = {{On the magnetic counterpart of the Uehling correction}},
author = {T. Azevedo and F. A. Barone and C. Farina and R. de Melo e Souza and G. Zarpelon},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.04125},
eprint = {2605.04125},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.04125},
}
RIS
TY - UNPB
TI - On the magnetic counterpart of the Uehling correction
AU - T. Azevedo
AU - F. A. Barone
AU - C. Farina
AU - R. de Melo e Souza
AU - G. Zarpelon
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2605.04125
UR - https://arxiv.org/abs/2605.04125
AB - In this work, we investigate the magnetic properties of the quantum vacuum in the context of QED. We calculate the quantum relativistic correction of virtual particle-anti-particle pair creation to the field of a classical point-like idealized magnet. Using such correction, we find the induced currents stemming from the effect of the polarization of the vacuum, which behaves like a paramagnetic medium. We also calculate the correction to the electric dipole potential and show that the well-known symmetry between the classical fields of point electric and magnetic dipoles is broken at the quantum level. Lastly, to illustrate possible applications of our findings, we briefly discuss the effect of the corrections obtained here in the context of neutron-neutron scattering and the hyperfine splitting for hydrogen-like atoms.
ER -