Certified spectral analysis and numerics prove the degree-one vortex linearized operator has one internal mode with eigenvalue in [0.777471875,0.77747375] and negative Fermi Golden Rule coefficients.
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Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics
Certified spectral analysis and numerics prove the degree-one vortex linearized operator has one internal mode with eigenvalue in [0.777471875,0.77747375] and negative Fermi Golden Rule coefficients.