Dyon loops and Abelian instantons

2025/06/17 by Isabel García García, Isabel Garcia Garcia, Garcia, Isabel Garcia +4 · 1 voice · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.1007/jhep05(2026)244

Abstract

A bstract 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 U(1) sector. In this same model, using a numerical relaxation procedure, we show that Euclidean dyon loops are a continuous deformation of small BPST instantons.

Citations

• Axial-Vector Vertex in Spinor Electrodynamics
• Comments on Nonlinear Wave Equations as Models for Elementary Particles

Cited by

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• Dark Matter and Baryon Asymmetry from Monopole-Axion Interactions
• Non-invertible Chiral Symmetry and Axions under Electromagnetic Duality
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Discussions

• 📄 New paper out! "Dyon Loops and Abelian Instantons" w/ Isabel Garcia Garcia and Ken Van Tilburg 🔗 arxiv.org/abs/2506.14867 [bsky, 42 points, 1 comments]

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