{"paper":{"title":"Phases of Giant Magnetic Vortex Strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Giant vortex strings in Abelian Higgs models admit exact solutions in the large-flux limit that organize into distinct phases set by the Higgs potential.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Amey P. Gaikwad, Thomas T. Dumitrescu","submitted_at":"2025-11-25T17:32:07Z","abstract_excerpt":"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, refl"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The reduction to exact solvability and the emergence of sharply distinct phases both rely on the large-n limit being taken while keeping the transverse profile finite; if sub-leading corrections in 1/n remain important for physically relevant quantities such as binding energy, the claimed universality classes may not be cleanly realized.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Giant vortex strings in 3+1D Abelian Higgs models admit essentially exact solutions that fall into sharply distinct phases in the large-n limit, determined by the form of the Higgs potential and governing their binding energies and stability.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Giant vortex strings in Abelian Higgs models admit exact solutions in the large-flux limit that organize into distinct phases set by the Higgs potential.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"182dd487d80121037d9a74c86e5e2c25aa3540055ce2b510a09f17cbafc32eb1"},"source":{"id":"2511.20527","kind":"arxiv","version":2},"verdict":{"id":"679183f9-4c80-48a8-a806-7434d3b33164","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T04:59:34.876785Z","strongest_claim":"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.","one_line_summary":"Giant vortex strings in 3+1D Abelian Higgs models admit essentially exact solutions that fall into sharply distinct phases in the large-n limit, determined by the form of the Higgs potential and governing their binding energies and stability.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The reduction to exact solvability and the emergence of sharply distinct phases both rely on the large-n limit being taken while keeping the transverse profile finite; if sub-leading corrections in 1/n remain important for physically relevant quantities such as binding energy, the claimed universality classes may not be cleanly realized.","pith_extraction_headline":"Giant vortex strings in Abelian Higgs models admit exact solutions in the large-flux limit that organize into distinct phases set by the Higgs potential."},"references":{"count":47,"sample":[{"doi":"","year":1957,"title":"On the Magnetic properties of superconductors of the second group,","work_id":"7edeccb9-4393-49cb-a3f2-f052138db1dc","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1973,"title":"Vortex Line Models for Dual Strings,","work_id":"a693457a-2396-49c2-817a-8da5ce52ef47","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"T. Dumitrescu and A. Gaikwad, “To appear,”","work_id":"a5d6cf8c-54db-4aec-9e6b-c1484d5181be","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2004,"title":"N. S. Manton and P. Sutcliffe,Topological solitons. Cambridge Monographs on Mathematical Physics. 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