{
  "annotation_id": "e49ed146-6eb2-48f8-9010-24496c946876",
  "date_created": "2026-03-02T18:02:47.322000Z",
  "date_modified": "2026-03-02T18:02:47.322000Z",
  "file_hash": "ee37f53c714a34c430b1bdebb5e5333a35da98f2b1f8656a2a762a572c7acb20",
  "private": false,
  "record": {
    "abstract": "Osterwalder and Schrader introduced a procedure to obtain a (Lorentzian)\nHamiltonian quantum theory starting from a measure on the space of (Euclidean)\nhistories of a scalar quantum field. In this paper, we extend that construction\nto more general theories which do not refer to any background, space-time\nmetric (and in which the space of histories does not admit a natural linear\nstructure). Examples include certain gauge theories, topological field theories\nand relativistic gravitational theories. The treatment is self-contained in the\nsense that an a priori knowledge of the Osterwalder-Schrader theorem is not\nassumed.",
    "arxiv_id": "quant-ph/9904094",
    "authors": [
      "A. Ashtekar",
      "D. Marolf",
      "J. Mour\u00e3o",
      "T. Thiemann"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th"
    ],
    "doi": "10.1088/0264-9381/17/23/310",
    "journal_ref": "Class.Quant.Grav. 17 (2000) 4919-4940",
    "title": "Constructing Hamiltonian quantum theories from path integrals in a   diffeomorphism invariant context",
    "url": "https://arxiv.org/abs/quant-ph/9904094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "92ddacbb-18c3-42b8-a54c-f617c13552f7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}