{
  "annotation_id": "89aab3c4-f37f-41eb-a39c-8c22b98e7971",
  "date_created": "2026-03-02T18:00:12.078000Z",
  "date_modified": "2026-03-02T18:00:12.078000Z",
  "file_hash": "68093055c5a25dbd3fe2e222d5aa566a1f68c21d543cb264c1519e03c21da0d1",
  "private": false,
  "record": {
    "abstract": "The Global Color-symmetry Model of QCD is extended to deal with a background\nelectromagnetic field and the associated conserved current is identified for\ncomposite $\\bar{q}q$ pion modes of the model. Although the analysis is limited\nto tree level in the bilocal fields that bosonize the model, the identified\nphoton-pion vertex produces the charge form factor associated with ladder\nBethe-Salpeter pion amplitudes. A Ward-Takahashi identity for this vertex is\nderived in terms of the effective inverse propagator for the equivalent local\npion field and the intrinsic ladder Bethe-Salpeter amplitudes. This identity is\nthen used to illustrate gauge invariance by showing that identical vertex\ninformation is produced from the gauge change of the free action once proper\naccount is taken of the gauge transformation properties of the bilocal pion\nfields. Comments are made on the location of the vector dominance mechanism in\nthis treatment.",
    "arxiv_id": "nucl-th/9303025",
    "authors": [
      "M. R. Frank",
      "P. C. Tandy"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.49.478",
    "journal_ref": "Phys.Rev.C49:478-488,1994",
    "title": "Gauge Invariance and the Electromagnetic Current of Composite Pions",
    "url": "https://arxiv.org/abs/nucl-th/9303025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a5147243-4688-4093-a2e8-2d171d7f16e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}