  The evolution of 1-vortices when their massive bound mode is excited is
investigated in detail (both analytically and numerically) in the Abelian-Higgs
model for different ranges of the self-coupling constant. The dependence of the
spectrum of the 1-vortex fluctuation operator on the model parameter is
discussed initially. A perturbative approach is employed to study the radiation
emission in both the scalar and the vector channels. Our findings reveal that
the oscillating initial configuration of the 1-vortex radiates at a frequency
twice that of the internal mode. Through energy conservation considerations, we
derive the decay law of the massive mode. Finally, these analytical results are
compared with numerical simulations in field theory.
