Quantum stability of the vortex state in the Abelian Higgs model

Treating the flux of the magnetic field penetrating the vortex as a dynamical variable, we consider the question of the stability of the quantum state of the vortex against the decay to the excitations which are present in the Abelian Higgs model. Specifically, the partial widths of the decay to a pair of the scalar field excitations possessing the Bogolyubov spectrum and to such a pair plus the quantum of the electromagnetic field with the finite radius of propagation implied by the finite London penetration depth are evaluated