{
  "annotation_id": "4a818867-4ab4-4504-a5ad-49cbeed50d56",
  "date_created": "2026-03-02T18:00:22.101000Z",
  "date_modified": "2026-03-02T18:00:22.101000Z",
  "file_hash": "8cdb55cedf8a9dc38c346eedf6dd520908d5dedbbb35b163160de61724cd8a17",
  "private": false,
  "record": {
    "abstract": "We investigate the 2-point correlation function for the vector current. The\ngluons provide dressings for both the quark self energy as well as the vector\nvertex function, which are described consistently by the rainbow\nDyson-Schwinger equation and the inhomogeneous ladder Bethe-Salpeter equation.\nThe form of the gluon propagator at low momenta is modeled by a 2-parameter\nansatz fitting the weak pion decay constant. The quarks are confined in the\nsense that the quark propagator does not have a pole at timelike momenta. We\ndetermine the ground state mass in the vector channel from the Euclidean time\nFourier transform of the correlator, which has an exponential falloff at large\ntimes. The ground state mass lies around 590 MeV and is almost independent of\nthe model form for the gluon propagator. This method allows us to stay in\nEuclidean space and to avoid analytic continuation of the quark or gluon\npropagators into the timelike region.",
    "arxiv_id": "nucl-th/9806011",
    "authors": [
      "T. Meissner",
      "L. S. Kisslinger"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "doi": "10.1103/PhysRevC.59.986",
    "journal_ref": "Phys.Rev. C59 (1999) 986-998",
    "title": "Mesons as qbar-q Bound States from Euclidean 2-Point Correlators in the   Bethe-Salpeter Approach",
    "url": "https://arxiv.org/abs/nucl-th/9806011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d68f7bd5-f4cb-4369-8dde-ced3ff86aaf0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}