{
  "abstract": "Although Yang--Mills theories at $θ$ and $θ+2π$ are physically equivalent, their periodicity is realized nontrivially in the presence of a background field for the $1$-form center symmetry. The confining vacua at $θ=0$ and $2π$ are therefore expected to have distinct symmetry-protected topological labels. We test this expectation in $SU(2)$ lattice Yang--Mills theory by measuring 't~Hooft and dyonic Wilson--'t~Hooft loops at $θ=2π$. A $1$-form-covariant DBW2 flow makes the global reweighting factor numerically benign while retaining the physical non-integer topological charge in a defect ensemble. The dyonic loop exhibits a clear perimeter-law plateau on two lattice volumes. The direct 't~Hooft-loop signal is noise-limited but has the magnitude and distance dependence expected for an area law. Taken together with the Wilson--'t~Hooft classification, these results provide numerical evidence for the dyonic oblique-confinement pattern at $θ=2π$. This talk is based on our recent paper (arXiv:2606.13428).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31281",
  "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/0cr4yqkr8tv80.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31281",
  "fulltext_url": null,
  "id": "0cr4yqkr8tv80",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31281",
  "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",
      "hep-lat"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7223338095",
  "pdf_url": "https://arxiv.org/pdf/2610.31281",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0cr4yqkr8tv80.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.31281",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31281"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Dyon Condensation at $θ=2π$ from Wilson-'t Hooft Loops in Yang-Mills Theory",
  "title_text": "Dyon Condensation at θ=2π from Wilson-'t Hooft Loops in Yang-Mills Theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/0cr4yqkr8tv80",
  "venue": "arXiv",
  "versions": []
}