Multi-vortices are Wall Vortices: A Numerical Proof
Stefano Bolognesi, Sven Bjarke Gudnason
TL;DR
This paper provides numerical evidence supporting the wall vortex conjecture by solving vortex equations with high winding numbers, confirming the theoretical predictions for multi-vortices in the Abrikosov-Nielsen-Olesen model.
Contribution
It introduces a numerical method capable of solving vortex equations with very high winding numbers, validating the wall vortex conjecture.
Findings
Numerical solutions up to winding number 25,000
Strong agreement with theoretical predictions
Confirmation of the wall vortex conjecture
Abstract
We study the Abrikosov-Nielsen-Olesen multi-vortices. Using a numerical code we are able to solve the vortex equations with winding number up to n=25,000. We can thus check the wall vortex conjecture previously made in hep-th/0507273 and hep-th/0507286. The numerical results show a remarkable agreement with the theoretical predictions.
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