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  • Open Access

Nontopological electromagnetic hedgehogs

Yulia Galushkina1,*, Emin Nugaev1,†, and Andrey Shkerin2,‡

  • *Contact author: jgrabareva@gmail.com
  • †Contact author: emin@ms2.inr.ac.ru
  • ‡Contact author: ashkerin@perimeterinstitute.ca
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Phys. Rev. D 113, 025013 – Published 26 January, 2026

DOI: https://doi.org/10.1103/vkv4-b3wj

Abstract

We study classical localized configurations—solitons—in a theory of self-interacting complex Proca field with the global U(1) symmetry. We focus on spherically symmetric solitons near the nonrelativistic limit, which are supported by the quartic interactions of the neutral Proca field. Such solitons can source the radial electric (magnetic) field if one introduces a parity-even (parity-odd) coupling of the Proca field to the electromagnetic field tensor. We discuss the conditions of existence of such nontopological “electromagnetic hedgehogs” and their properties.

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Phys. Rev. D 113, 025013– Published 26 January, 2026
  • Received 8 May 2024
  • Accepted 8 January 2026
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