Dyon Loops and Abelian Instantons
Abstract
We construct Abelian gauge field configurations that carry non-zero instanton number. Each such "Abelian instanton" is generated by a closed magnetic worldline in four-dimensional Euclidean space, provided the Abelian gauge field has non-trivial winding along the closed worldline. The resulting field configuration corresponds to a Euclidean dyon loop featuring non-zero instanton number. We embed these dyon loops in a UV-complete theory using the Georgi-Glashow model and show that the full instanton charge is borne entirely by the unbroken sector. In this same model, using a numerical relaxation procedure, we show that Euclidean dyon loops are a continuous deformation of small BPST instantons.
Keywords
Cite
@article{arxiv.2506.14867,
title = {Dyon Loops and Abelian Instantons},
author = {Isabel Garcia Garcia and Marius Kongsore and Ken Van Tilburg},
journal= {arXiv preprint arXiv:2506.14867},
year = {2026}
}
Comments
37+6 pages, 10 figures; v2: JHEP submitted version, minor plot and formatting adjustments