{
  "annotation_id": "d8ae3e3d-2b6c-4466-b2bf-cf826e133073",
  "date_created": "2026-03-02T18:00:25.667000Z",
  "date_modified": "2026-03-02T18:00:25.667000Z",
  "file_hash": "b6540f0829f5cb3dea375311a7408969d89e82a0af3949c804e4a30232e3b650",
  "private": false,
  "record": {
    "abstract": "In QCD sum rules with external fields, the double dispersion relation is\noften used to represent the correlation function. In this work, we point out\nthat the double spectral density, when it is determined by successive\napplications of the Borel transformation, contains the spurious terms which\nshould be kept in the subtraction terms in the double dispersion relation. They\nare zero under the Borel transformation but, if the dispersion integral is\nrestricted with QCD duality, they contribute to the continuum. For the simple\ncase with zero external momentum, it is shown that subtracting out the spurious\nterms is equivalent to the QCD sum rules represented by the single dispersion\nrelation.",
    "arxiv_id": "nucl-th/9906081",
    "authors": [
      "Hungchong Kim"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "doi": "10.1143/PTP.103.1001",
    "journal_ref": "Prog.Theor.Phys. 103 (2000) 1001-1009",
    "title": "Use of the double dispersion relation in QCD sum rules with external   fields",
    "url": "https://arxiv.org/abs/nucl-th/9906081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec6af094-fd36-4dc8-b072-d6f8b5ebffe8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}