{
  "abstract": "We propose an algorithm for generating lattice field configurations based on the approximate inversion of a renormalization-group blocking transformation. We optimize the blocking transformation using a ``perfect blocking'' condition so that the blocked lattice distribution is well approximated by a simple coarse action. The blocking is separated into an invertible smoothing transformation followed by decimation. Machine learning, in the form of a conditional normalizing flow, is used to reconstruct the short-distance degrees of freedom removed by the decimation. A short fine-action rethermalization then removes the residual mismatch. Because the coarse ensemble supplies the long-distance modes, the same blocking transformation and conditional flow can be reused recursively on larger lattices, producing a cascade of configurations from an initial small-volume ensemble. We test the method in two-dimensional $ϕ^4$ theory with $λ=1$ at criticality and demonstrate stable cascade upscaling from $16^2$ to $2048^2$ lattices on local computational resources. Controlled rethermalization tests show that short-distance mismatches relax rapidly, whereas a deliberately introduced mismatch in the relevant thermal direction relaxes much more slowly. The construction uses ingredients that admit natural extensions to higher-dimensional systems and, ultimately, to gauge and fermionic degrees of freedom.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28580",
  "author_total": 4,
  "authors": [
    {
      "name": "Anna Hasenfratz"
    },
    {
      "name": "Ethan T. Neil"
    },
    {
      "name": "Letizia Parato"
    },
    {
      "name": "Noah Schwartz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2120j7kjp17bx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28580",
  "fulltext_url": null,
  "id": "2120j7kjp17bx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28580",
  "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": "W7204857812",
  "pdf_url": "https://arxiv.org/pdf/2608.28580",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2120j7kjp17bx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2608.28580",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28580"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Renormalization-guided inverse blocking for lattice field generation: construction and validation",
  "title_text": "Renormalization-guided inverse blocking for lattice field generation: construction and validation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/2120j7kjp17bx",
  "venue": "arXiv",
  "versions": []
}