{
  "abstract": "Yang-Mills theories at $θ$ and $θ+2π$ are unitarily equivalent, but their $2π$ periodicity has a nontrivial realization. Recent developments in generalized symmetries rigorously prove that confinement vacua at $θ=0$ and $2π$ should belong to different symmetry-protected topological (SPT) states with the $1$-form center symmetry. For its examination, we measure the Wilson-'t Hooft loop operators at $θ=2π$ for the $SU(2)$ Wilson lattice gauge action and discuss their long-distance behaviors. This requires us to identify the gauge topological charge in the presence of defects, and we employ the $1$-form covariant DBW2 gradient flow to smear lattice gauge fields. We find a clear perimeter-law signal for the dyonic Wilson-'t Hooft loop at $θ=2π$, providing numerical evidence in the pure $SU(2)$ Yang-Mills theory for the theoretically expected dyon condensation at $θ=2π$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.13428",
  "author_total": 6,
  "authors": [
    {
      "name": "Hiromasa Watanabe"
    },
    {
      "name": "Issaku Kanamori"
    },
    {
      "name": "Okuto Morikawa"
    },
    {
      "name": "Yuki Nagai"
    },
    {
      "name": "Yuya Tanizaki"
    },
    {
      "name": "Akio Tomiya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/99xdqjaxrzj13.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.13428",
  "fulltext_url": null,
  "id": "99xdqjaxrzj13",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.13428",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.13428",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/99xdqjaxrzj13.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2606.13428",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.13428"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Numerical Hints for Dyon Condensation at $θ=2π$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory",
  "title_text": "Numerical Hints for Dyon Condensation at θ=2π via Wilson-'t Hooft Loops in SU(2) Yang-Mills Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/99xdqjaxrzj13",
  "venue": "arXiv",
  "versions": []
}