{
  "annotation_id": "14af1e61-ba0c-479d-b22f-8146c4e2dae3",
  "date_created": "2026-03-02T18:00:18.901000Z",
  "date_modified": "2026-03-02T18:00:18.901000Z",
  "file_hash": "3fa19c6de6921058df401f60671f0521fc40bbe7b617eb474fab8131b4b2beaa",
  "private": false,
  "record": {
    "abstract": "Independent of assumptions about the form of the quark-antiquark scattering\nkernel we derive the explicit relation between the pion Bethe-Salpeter\namplitude, Gamma_pi, and the quark propagator in the chiral limit; Gamma_pi\nnecessarily involves a non-negligible gamma_5 gamma.P term (P is the pion\nfour-momentum). We also obtain exact expressions for the pion decay constant,\nf_pi, and mass, both of which depend on Gamma_pi; and demonstrate the\nequivalence between f_pi and the pion Bethe-Salpeter normalisation constant in\nthe chiral limit. We stress the importance of preserving the axial-vector\nWard-Takahashi identity in any study of the pion itself, and in any study whose\ngoal is a unified understanding of the properties of the pion and other\nhadronic bound states.",
    "arxiv_id": "nucl-th/9707003",
    "authors": [
      "P. Maris",
      "C. D. Roberts",
      "P. C. Tandy"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "doi": "10.1016/S0370-2693(97)01535-9",
    "journal_ref": "Phys.Lett.B420:267-273,1998",
    "title": "Pion mass and decay constant",
    "url": "https://arxiv.org/abs/nucl-th/9707003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bc439ee9-4406-4832-9bf9-915a72c5883d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}