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arXiv · 2606.19917

Metastable and critical-bubble branches of Coleman--Weinberg monopoles

Sumit Shaw
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Abstract

We revisit the Coleman--Weinberg monopole problem introduced by Kiselev, where radiative symmetry breaking makes the broken vacuum metastable. We construct the associated static monopole--critical-bubble configuration in the full coupled radial Higgs--gauge system and show that it is a saddle of the static energy functional. The metastable monopole and monopole--critical-bubble branches are characterized by their profiles, energies, and radial Hessian spectra. The monopole--bubble solution carries a negative radial mode, while the metastable monopole remains locally stable until its lowest radial Hessian eigenvalue approaches zero. The resulting branch structure gives a direct static picture of how Coleman--Weinberg monopoles lose metastability, with critical rescaled scalar mass parameter \(\mu_c=0.064352(1)\).

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Sumit Shaw. 2026-06-18. Metastable and critical-bubble branches of Coleman--Weinberg monopoles. https://arxiv.org/abs/2606.19917

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