Stability analysis for soliton solutions in a gauged CP(1) theory
Lucas Sourrouille
TL;DR
This paper investigates the stability of soliton solutions in a gauged CP(1) model with Chern-Simons term, establishing a stability condition and confirming it through numerical verification.
Contribution
It introduces a specific stability condition for solitons in a gauged CP(1) model and validates it with numerical analysis.
Findings
Derived a stability condition for solitons
Numerically verified the stability criterion
Identified parameter regimes for stable solutions
Abstract
We analyze the stability of soliton solutions in a Chern-Simons-CP(1) model. We show a condition for which the soliton solutions are stable. Finally we verified this result numerically.
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