The (in)stability of global monopoles revisited

Details The (in)stability of global monopoles revisited The (in)stability of global monopoles revisited

2000-03-15

arxiv.org/abs/hep-ph/0003145v2

Phys.Rev.Lett.85:3091-3094,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 2 figures (uses RevTeX and epsf). Corrected an error in the original proof of stability, discussion extended to non-n

Scientific paper

10.1103/PhysRevLett.85.3091

We analyse the stability of global O(3) monopoles in the infinite cut-off (or scalar mass) limit. We obtain the perturbation equations and prove that the spherically symmetric solution is classically stable (or neutrally stable) to axially symmetric square integrable or power-law decay perturbations. Moreover we show that, in spite of the existence of a conserved topological charge, the energy barrier between the monopole and the vacuum is finite even in the limit where the cut-off is taken to infinity. This feature is specific of global monopoles and independent of the details of the scalar potential.

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