{
  "annotation_id": "64311d06-9bad-40ed-930a-e9a753888f1a",
  "date_created": "2026-03-02T18:01:39.254000Z",
  "date_modified": "2026-03-02T18:01:39.254000Z",
  "file_hash": "90953315f9ff9574f845c23c5a71b315881a01435de60993b63dea72872a00b8",
  "private": false,
  "record": {
    "abstract": "In perturbative calculations of quantum mechanical path integrals in\ncurvilinear coordinates, Feynman diagrams involve multiple temporal integrals\nover products of distributions, which are mathematically undefined. We derive\nsimple rules for their evaluation from the requirement of coordinate\nindependence of path integrals.",
    "arxiv_id": "quant-ph/0002067",
    "authors": [
      "H. Kleinert",
      "A. Chervyakov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s100520100600",
    "journal_ref": "Eur. Phys. J. C 19, 743-747 (2001)",
    "title": "Rules for Integrals over Products of Distributions from Coordinate   Independence of Path Integrals",
    "url": "https://arxiv.org/abs/quant-ph/0002067"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dabd2569-36f3-451b-847d-34a7c23263b2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}