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arXiv · 2105.12137

A Theory of Giant Vortices

Alexander A. Penin·Quinten Weller
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Abstract

We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number $n$. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-$n$ corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.

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Alexander A. Penin, Quinten Weller. 2021-05-25. A Theory of Giant Vortices. https://doi.org/10.1007/jhep08(2021)056

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