Collective Coordinate Models for 2-Vortex Shape Mode Dynamics

Abstract

Models are developed for the motion of charge-2 Abelian Higgs vortices through the 2-vortex moduli space $M$, with the vortices excited by their shape mode oscillations. The models simplify to the well-known geodesic flow on $M$, modified by a potential, when the mode oscillations are fast relative to the moduli space motion and their amplitudes are small. When the lowest-frequency mode is excited with a large amplitude, the geodesic flow is not a correct description. Instead, a chaotic, or even fractal, multi-bounce structure in vortex-vortex collisions is predicted.

24 pages, 6 figures

References in corpus (8)

• Asymptotic Interactions of Critically Coupled Vortices
• Spectral Walls in Soliton Collisions
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Scattering between wobbling kinks
• Bound States and Instabilities of Vortices
• A note on BPS vortex bound states
• Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
• Spectral Flow of Vortex Shape Modes over the BPS 2-Vortex Moduli Space

Cited by in corpus (2)

• Dissecting normal modes of vibration on vortices in Ginzburg-Landau superconductors
• Scattering between orthogonally wobbling kinks