{
  "annotation_id": "cc01c003-3f75-45d8-8606-fa7e9b7e4337",
  "date_created": "2026-03-02T18:01:38.619000Z",
  "date_modified": "2026-03-02T18:01:38.619000Z",
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  "record": {
    "abstract": "The relation between renormalization and short distance singular divergencies\nin quantum field theory is studied. As a consequence a finite theory is\npresented. It is shown that these divergencies are originated by the\nmultiplication of distributions (and worse defined mathematical objects). Some\nof them are eliminated defining a multiplication based in dimensional\nregularization while others disappear considering the states as functionals\nover the observables space. Non renormalizable theories turn to be finite, but\nanyhow they are endowed with infinite arbitrary constants.",
    "arxiv_id": "quant-ph/0008043",
    "authors": [
      "Mario Castagnino"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1023/A:1012977902615",
    "journal_ref": "Int.J.Theor.Phys.40:2143-2182,2001",
    "title": "Renormalization and Short Distance Singular Structure",
    "url": "https://arxiv.org/abs/quant-ph/0008043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2aeeb603-5f9c-4572-be89-483a5c198096",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}