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A (generalized) 't Hooft-Polyakov monopole and a Dirac monopole with a Dirac string attached are two types of magnetic monopoles, which differ in several ways, as OP and user ACuriousMind correctly states. On one hand, (generalized) 't Hooft-Polyakov monopoles are regular, soliton-like, finite-energy solutions to the classical Euler-Lagrange field ...

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