F. Pusateri

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Linear Theory

We study the linearized dynamics near the degree-one vortex of the $(1+2)$-dimensional abelian Yang-Mills-Higgs model at the self-dual coupling, restricted to equivariant perturbations in the orthogonal gauge. The linearized operator is a selfadjoint matrix Schr\"odinger operator $\mathbf{M}$ on radial $L^2_{\mathrm{ra...