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Main Authors: Dumitrescu, Thomas T., Gaikwad, Amey P.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.20527
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author Dumitrescu, Thomas T.
Gaikwad, Amey P.
author_facet Dumitrescu, Thomas T.
Gaikwad, Amey P.
contents We consider Abrikosov-Nielsen-Olesen magnetic vortex strings in 3+1 dimensional Abelian Higgs models. We systematically analyze the giant vortex regime using a combination of analytic and numerical methods. In this regime the strings are infinitely long, axially symmetric, and support a large magnetic flux n along the symmetry axis in their core that causes them to spread out in the transverse directions. Extending previous observations, we show that the non-linear equations governing giant vortices can essentially be solved exactly. The solutions fall into different universality classes, reflecting the properties of the Higgs potential, that become sharply distinct phases in the large-n limit. We use this understanding to shed light on the binding energies and stability of vortex strings in each universality class.
format Preprint
id arxiv_https___arxiv_org_abs_2511_20527
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Phases of Giant Magnetic Vortex Strings
Dumitrescu, Thomas T.
Gaikwad, Amey P.
High Energy Physics - Theory
We consider Abrikosov-Nielsen-Olesen magnetic vortex strings in 3+1 dimensional Abelian Higgs models. We systematically analyze the giant vortex regime using a combination of analytic and numerical methods. In this regime the strings are infinitely long, axially symmetric, and support a large magnetic flux n along the symmetry axis in their core that causes them to spread out in the transverse directions. Extending previous observations, we show that the non-linear equations governing giant vortices can essentially be solved exactly. The solutions fall into different universality classes, reflecting the properties of the Higgs potential, that become sharply distinct phases in the large-n limit. We use this understanding to shed light on the binding energies and stability of vortex strings in each universality class.
title Phases of Giant Magnetic Vortex Strings
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.20527