Resonant excitations of the 't Hooft-Polyakov monopole |
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Authors: | Forgács Péter Volkov Mikhail S |
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Institution: | LMPT CNRS-UMR 6083, Université de Tours, Parc de Grandmont, 37200 Tours, France. |
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Abstract: | The spherically symmetric magnetic monopole in an SU(2) gauge theory coupled to a massless Higgs field is shown to possess an infinite number of resonances or quasinormal modes. These modes are eigenfunctions of the isospin 1 perturbation equations with complex eigenvalues, E(n)=omega(n)-igamma(n), satisfying the outgoing radiation condition. For n--> infinity, their frequencies omega(n) approach the mass of the vector boson, M(W), while their lifetimes 1/gamma(n) tend to infinity. The response of the monopole to an arbitrary initial perturbation is largely determined by these resonant modes, whose collective effect leads to the formation of a long living breatherlike excitation with an amplitude decaying at late times as t(-5/6). |
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