Dynamics of global and local vortices with orientational moduli
Minoru Eto, Adam Peterson, Fidel I. Schaposnik Massolo, Gianni, Tallarita

TL;DR
This paper investigates the complex dynamics of global and local non-Abelian vortices, including their collisions, forces, and phase diagram, revealing new behaviors of their internal orientational moduli.
Contribution
It provides a detailed numerical study of vortex collisions, inter-vortex forces, and the phase diagram distinguishing Abelian and non-Abelian vortices.
Findings
Distinct dynamics observed for different internal orientations.
Inter-vortex forces characterized and phase diagram constructed.
Non-zero impact parameter scatterings and multi-vortex collisions analyzed.
Abstract
The dynamics of both global and local vortices with non-Abelian orientational moduli is investigated in detail. Head-on collisions of these vortices are numerically simulated for parallel, anti-parallel and orthogonal internal orientations where we find interesting dynamics of the orientational moduli. A detailed study of the inter-vortex force is provided and a phase diagram separating Abelian and non-Abelian vortex types is constructed. Some results on scatterings with non-zero impact parameter and multi-vortex collisions are included.
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