{
  "annotation_id": "241fd090-f9ce-487e-8cb4-2d16e4ca5de7",
  "date_created": "2026-03-02T18:00:35.446000Z",
  "date_modified": "2026-03-02T18:00:35.446000Z",
  "file_hash": "ac7d0392d80668dc0bbca4dce5370a7d8b7e2f3e681b111822d5471336973aa1",
  "private": false,
  "record": {
    "abstract": "An imitation of 2d field theory is formulated by means of a model on the\nhierarchic tree (with branching number close to one) with the same potential\nand the free correlators identical to those of 2d ones. Such a model possesses\nsome features of original models for certain scale invariant theories. For the\ncase of 2d conformal models it is possible to derive exact results. The\nrenormalization group equation for the free energy is a reaction-diffusion\nequation, which is noise-free KPZ equation with an additional linear term. For\nthe case of Liouville model and strings these models on trees may be naturally\nexpressed via the Random Energy Model. This correspondence is used to identify\nthe phase structure of strings for analytical continuation of DDK expressions.\nA phase transition is found for spherical strings a bit below three dimensions.",
    "arxiv_id": "physics/0111031",
    "authors": [
      "D. B. Saakian"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Imitation of 2d quantum field theory by means of REM like models",
    "url": "https://arxiv.org/abs/physics/0111031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2eb0d2e3-2b22-4111-ac6f-89fe2e397743",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}