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  • Letter
  • Open Access

Resurgent structure of the ’t Hooft-Polyakov monopole

Michal Malinský*

  • Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University in Prague, V Holešovičkách 2, 180 00 Praha 8, Czech Republic

  • *Contact author: michal.malinsky@matfyz.cuni.cz
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Phys. Rev. D 114, L011905 – Published 14 July, 2026

DOI: https://doi.org/10.1103/mm8d-1qd4

Abstract

In this paper, we present a comprehensive analysis of the differential equations governing the spatial profile of the ’t Hooft–Polyakov monopole from the viewpoint of resurgence theory. We note that the universality of the gauge-component asymptotics, together with the relative simplicity of its Borel transform and the associated Volterra equations’ kernels, gives rise to a perturbative expansion featuring a good control over the proliferation of the Borel-plane singularities to all orders, along with useful information about their structure. Moreover, its partial resummation reveals remarkably simple universal analytic “dressed” background, around which one may develop a global perturbative expansion of the exact solutions for any λ/e2>0 and, at least in principle, get a grip on the numerical parameters governing the local expansions of the profile functions.

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Phys. Rev. D 114, L011905– Published 14 July, 2026
  • Received 20 February 2026
  • Accepted 15 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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