Resonant excitations of the 't Hooft-Polyakov monopole

Details Resonant excitations of the 't Hooft-Polyakov monopole Resonant excitations of the 't Hooft-Polyakov monopole

2003-11-07

arxiv.org/abs/hep-th/0311062v1

Phys.Rev.Lett. 92 (2004) 151802

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

10.1103/PhysRevLett.92.151802

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, $E_n=\omega_n-i\gamma_n$, satisfying the outgoing radiation condition. For $n\to\infty$, 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 breather-like excitation characterized by pulsations with a frequency approaching $M_W$ and with an amplitude decaying at late times as $t^{-5/6}$.

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