Radiation from Excited Vortex in the Abelian Higgs Model

Abstract

Excitation of a vortex in the Abelian Higgs model is investigated with the help of a polynomial approximation. The excitation can be regarded as a longitudinal component of the vector field trapped by the vortex. The energy and profile of the excitation are found. Back-reaction of the excitation on the vortex is calculated in the small $\kappa$ limit. It turns out that in the presence of the excitation the vortex effectively becomes much wider - its radius oscillates in time and for all times it is not smaller than the radius of the unexcited vortex. Moreover, we find that the vector field of the excited vortex has long range radiative component. Bound on the amplitude of the excitation is also found.

Latex, 20 pages. 2 figures attached as .uu file to be decoded and used as input for epsfbox command which is already included in the main Latex file

References in corpus (3)

• Bound States and Instabilities of Vortices
• On dynamics of cylindrical and spherical relativistic domain walls of finite thickness
• Thick domain walls in a polynomial approximation

Cited by in corpus (8)

• Loop decay in Abelian-Higgs string networks
• Level Set Method for the Evolution of Defect and Brane Networks
• Expansion for the solutions of the Bogomolny equations on the torus
• Expansion in the Width and Collective Dynamics of a Domain Wall
• Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
• Unconventional cosmology on the (thick) brane
• Dissecting normal modes of vibration on vortices in Ginzburg-Landau superconductors
• Backreaction of excitations on a vortex