{"paper":{"title":"Numerical fractional instantons in SU(2): center vortices, monopoles, and a sharp transition between them","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"F David Wandler","submitted_at":"2024-06-11T18:03:39Z","abstract_excerpt":"We use a numerical cooling algorithm to study fractional instantons in $SU(2)$ pure Yang-Mills on $\\mathbb{R}^2\\times\\mathbb{T}^2_*$, $\\mathbb{R}^3\\times S^1$, and $\\mathbb{R}\\times \\mathbb{T}^2_* \\times S^1$. We confirm that the fractional instantons are center vortices on $\\mathbb{R}^2\\times\\mathbb{T}^2_*$ and monopoles on $\\mathbb{R}^3\\times S^1$, and we calculate several properties relevant to using these solutions for semiclassical calculations. On $\\mathbb{R}\\times \\mathbb{T}^2_* \\times S^1$, we interpolate between the large $\\mathbb{T}^2_*$ limit and the large $S^1$ limit to study how t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.07636","kind":"arxiv","version":2},"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/2406.07636/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"}