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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Penin, A.A., Weller, Q. A theory of giant vortices. J. High Energ. Phys. 2021, 56 (2021). https://doi.org/10.1007/JHEP08(2021)056
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DOI: https://doi.org/10.1007/JHEP08(2021)056