Linear stability of the Skyrmion
Matthew Creek, Roland Donninger, Wilhelm Schlag, Stanley Snelson
TL;DR
This paper provides a rigorous proof of the linear stability of the Skyrmion, along with new proofs for its existence and related bounds, advancing the mathematical understanding of Skyrmion stability.
Contribution
It offers the first rigorous proof of Skyrmion linear stability and introduces new proofs for its existence and associated bounds.
Findings
Proof of linear stability of the Skyrmion
New proofs for the existence of the Skyrmion
Establishment of the GGMT bound related to Skyrmions
Abstract
We give a rigorous proof for the linear stability of the Skyrmion. In addition, we provide new proofs for the existence of the Skyrmion and the GGMT bound.
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