{"paper":{"title":"Effect of Impurity on Inhomogeneous Vacuum and Interacting Vortices","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.supr-con","hep-ph"],"primary_cat":"hep-th","authors_text":"Hanwool Song, SeungJun Jeon, Yoonbai Kim","submitted_at":"2025-01-05T10:31:49Z","abstract_excerpt":"We study the inhomogeneous abelian Higgs model with a magnetic impurity. The vacuum configuration of the symmetry-broken phase is not simply the constant Higgs vacuum but is a nontrivial function of spatial coordinates, satisfying the Euler-Lagrange equations. The vacuum of zero winding number has zero magnetic flux but its non-zero magnetic field depends on spatial coordinates. The corresponding vacuum energy is negative for weak coupling $(\\lambda < 1)$, zero for critical BPS coupling $(\\lambda = 1)$, and positive for strong coupling $(\\lambda > 1)$ by an over-, exact-, and under-cancellatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.02500","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.02500/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}