A Theory of Giant Vortices
High Energy Physics - Theory
2021-09-01 v1 Mesoscale and Nanoscale Physics
High Energy Physics - Phenomenology
Abstract
We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number . 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- corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.
Keywords
Cite
@article{arxiv.2105.12137,
title = {A Theory of Giant Vortices},
author = {Alexander A. Penin and Quinten Weller},
journal= {arXiv preprint arXiv:2105.12137},
year = {2021}
}
Comments
20 pages, 7 figures, LaTeX. arXiv admin note: text overlap with arXiv:2009.06640