Remarks on the asymptotic behavior of the ’t Hooft’s magnetic monopole
- 1 January 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (1) , 287-291
- https://doi.org/10.1063/1.523521
Abstract
We investigate the asymptotic behavior of the ’t Hooft’s solution at r→0 and r→∞. Using the methods of the qualitative theory of ordinary differential systems, we are able to derive the asymptotic form of the solution up to a higher approximation than in ’t Hooft’s original paper [G. ’t Hooft, Nucl. Phys. B 79, 276 (1974], as well as show that the Prasad–Sommerfield’s exact solution can be considered as an analytical limit of the ’t Hooft’s solution for μ2→0, λ→0. Some remarks on the stability of the monopole close the paper.Keywords
This publication has 3 references indexed in Scilit:
- Exact Classical Solution for the 't Hooft Monopole and the Julia-Zee DyonPhysical Review Letters, 1975
- Magnetic monopoles in unified gauge theoriesNuclear Physics B, 1974
- Comments on Nonlinear Wave Equations as Models for Elementary ParticlesJournal of Mathematical Physics, 1964