{
  "annotation_id": "40bd030a-bc02-41f2-a019-3eb6a811291a",
  "date_created": "2026-03-02T18:00:00.896000Z",
  "date_modified": "2026-03-02T18:00:00.896000Z",
  "file_hash": "68e72b8593f1a226a349b82e02cf49097e519d4003d69a28eef8b7f8e92268c3",
  "private": false,
  "record": {
    "abstract": "In this paper we present a summary of results obtained for scalar field\ntheories using the Feynman-Schwinger (FSR) approach. Specifically, scalar QED\nand chi^2phi theories are considered. The motivation behind the applications\ndiscussed in this paper is to use the FSR method as a rigorous tool for testing\nthe quality of commonly used approximations in field theory. Exact calculations\nin a quenched theory are presented for one-, two-, and three-body bound states.\nResults obtained indicate that some of the commonly used approximations, such\nas Bethe-Salpeter ladder summation for bound states and the rainbow summation\nfor one body problems, produce significantly different results from those\nobtained from the FSR approach. We find that more accurate results can be\nobtained using other, simpler, approximation schemes.",
    "arxiv_id": "nucl-th/0404068",
    "authors": [
      "Cetin Savkli",
      "Franz Gross",
      "John Tjon"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "doi": "10.1134/1.1935017",
    "journal_ref": "Phys.Atom.Nucl.68:842-860,2005; Yad.Fiz.68:874-893,2005",
    "title": "Nonperturbative dynamics of scalar field theories through the   Feynman-Schwinger representation",
    "url": "https://arxiv.org/abs/nucl-th/0404068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4702eb38-f63e-4600-be09-f741446b461f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}