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arXiv · 2303.15602

Shapes of magnetic monopoles in effective $SU(2)$ models

Petr Beneš·Filip Blaschke
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Abstract

We present a systematic exploration of a general family of effective $SU(2)$ models with an adjoint scalar. First, we discuss a redundancy in this class of models and use it to identify seemingly different, yet physically equivalent models. Next, we construct the Bogomol'nyi-Prasad-Sommerfield (BPS) limit and derive analytic monopole solutions. In contrast to the 't Hooft-Polyakov monopole, included here as a special case, these solutions tend to exhibit more complex energy density profiles. Typically, we obtain monopoles with a hollow cavity at their core where virtually no energy is concentrated; accordingly, most of the monopole's energy is stored in a spherical shell around its core. Moreover, the shell itself can be structured, with several "sub-shells". A recipe for the construction of these analytic solutions is presented.

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Petr Beneš, Filip Blaschke. 2023-03-27. Shapes of magnetic monopoles in effective $SU(2)$ models. https://doi.org/10.1103/physrevd.107.125002

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