{
  "abstract": "We present the full order $g^6$ term in the weak-coupling expansion of the pressure of hot $\\mathrm{SU}(3)$ Yang-Mills theory, resolving a problem that has remained open for more than two decades. To achieve this, we evaluate nine previously unknown nonfactorizing four-loop sum-integrals using the thermal loop-tree duality method with novel local ultraviolet and infrared subtractions, thereby completing the hard-scale contribution to the pressure for general $\\mathrm{SU}(N_c)$. Combining this result with known chromoelectric and chromomagnetic contributions, available for $N_c=3$, we demonstrate the analytic cancellation of infrared divergences originating from different momentum scales and obtain the complete $O(g^6)$ pressure for $\\mathrm{SU}(3)$. Our result displays quantitative agreement with data from four-dimensional lattice simulations over a broad range of temperatures, providing a stringent test of the dimensionally reduced effective-field-theory paradigm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23675",
  "author_total": 7,
  "authors": [
    {
      "name": "Keijo Kajantie"
    },
    {
      "name": "Pablo Navarrete"
    },
    {
      "name": "Risto Paatelainen"
    },
    {
      "name": "Leon Sandbote"
    },
    {
      "name": "York Schröder"
    },
    {
      "name": "Kaapo Seppänen"
    },
    {
      "name": "Aleksi Vuorinen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dpcfnyhr912n8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23675",
  "fulltext_url": null,
  "id": "dpcfnyhr912n8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23675",
  "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": "W7222948299",
  "pdf_url": "https://arxiv.org/pdf/2610.23675",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dpcfnyhr912n8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23675",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23675"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Complete $g^6$ pressure of hot Yang-Mills theory",
  "title_text": "Complete g^6 pressure of hot Yang-Mills theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/dpcfnyhr912n8",
  "venue": "arXiv",
  "versions": []
}