Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole
Abstract
A high precision numerical analysis of the static, spherically symmetric SU(2) magnetic monopole equations is carried out. Using multi-shooting and multi-domain spectral methods, the mass of the monopole is obtained rather precisely as a function of β=MH/MW for a large β-interval (MH and MW denote the mass of the Higgs and gauge field respectively). The numerical results necessitated the reexamination and subsequent correction of a previous asymptotic analysis of the monopole mass in the literature for β1.
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