{
  "annotation_id": "385ae954-ea66-4c9e-8097-b26269030e7b",
  "date_created": "2026-03-02T18:02:48.416000Z",
  "date_modified": "2026-03-02T18:02:48.416000Z",
  "file_hash": "debf3ab849441d40243b9ceb5f6d2c5cc17062290d931bbf0492378d0a64d2e5",
  "private": false,
  "record": {
    "abstract": "We show how to perform integrals over products of distributions in coordinate\nspace such as to reproduce the results of momentum space Feynman integrals in\ndimensional regularization. This ensures the invariance of path integrals under\ncoordinate transformations. The integrals are uniquely defined by expressing\nthe propagators in 1- epsilon dimensions in terms of modified Bessel functions.",
    "arxiv_id": "quant-ph/9912056",
    "authors": [
      "H. Kleinert",
      "A. Chervyakov"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/S0370-2693(00)00199-4",
    "journal_ref": "Phys.Lett. B47 (2000) 373",
    "title": "Reparametrization Invariance of Perturbatively Defined Path Integrals.   II. Integrating Products of Distributions",
    "url": "https://arxiv.org/abs/quant-ph/9912056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7673d815-3775-46bb-bc5f-9340cbb4ab59",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}