{
  "abstract": "We show that in hot QCD rotating at an imaginary angular velocity $Ω_I$, the angular velocity selects not only the temperature of the bulk but whether charge conjugation $C$ is broken there. For QCD at temperature $T$ and imaginary quark chemical potential $θ$, with $Ω_I/2π=p/q$ in lowest terms, the bulk far from the rotation axis is in the same thermal equilibrium state as nonrotating QCD at temperature $T/q$ and imaginary quark chemical potential $θ'=qθ+π(p+q+1)$; this follows from the Euclidean boundary conditions and locality alone, and holds nonperturbatively. Consequently, even at zero quark chemical potential, the bulk is placed at the Roberge-Weiss (RW) point whenever $p$ and $q$ are both odd, and $C$ is spontaneously broken there for $T>qT_{\\rm RW}$, with $T_{\\rm RW}$ the RW endpoint temperature. The bulks at $Ω_I=2π/3$ and $4π/3$, for example, are both at temperature $T/3$, yet only the former can break $C$. The set of imaginary angular velocities at which $C$ is broken has a fractal structure: raising $T$ adds rationals of ever larger denominator. At irrational $Ω_I/2π$ the bulk corresponds to zero-temperature QCD at any $T$ and remains confined.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07779",
  "author_total": 1,
  "authors": [
    {
      "name": "Rin Takada"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eyvdk6maan9j3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07779",
  "fulltext_url": null,
  "id": "eyvdk6maan9j3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07779",
  "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"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7220912993",
  "pdf_url": "https://arxiv.org/pdf/2610.07779",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eyvdk6maan9j3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.07779",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07779"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Fractal phase structure of QCD under imaginary rotation",
  "title_text": "Fractal phase structure of QCD under imaginary rotation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/eyvdk6maan9j3",
  "venue": "arXiv",
  "versions": []
}