Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole

Details Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole

2004-12-07

arxiv.org/abs/hep-th/0412057v2

Phys.Rev. D71 (2005) 035002; Erratum-ibid. D71 (2005) 119902

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures. Minor corrections. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.71.035002

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 $\beta=M_H/M_W$ for a large $\beta$-interval ($M_H$ and $M_W$ 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 $\beta\ll1$.

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