dorsal/arxiv
View SchemaPion mass and decay constant
| Authors | P. Maris, C. D. Roberts, P. C. Tandy |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9707003 |
| URL | https://arxiv.org/abs/nucl-th/9707003 |
| DOI | 10.1016/S0370-2693(97)01535-9 |
| Journal | Phys.Lett.B420:267-273,1998 |
Abstract
Independent of assumptions about the form of the quark-antiquark scattering kernel we derive the explicit relation between the pion Bethe-Salpeter amplitude, Gamma_pi, and the quark propagator in the chiral limit; Gamma_pi necessarily involves a non-negligible gamma_5 gamma.P term (P is the pion four-momentum). We also obtain exact expressions for the pion decay constant, f_pi, and mass, both of which depend on Gamma_pi; and demonstrate the equivalence between f_pi and the pion Bethe-Salpeter normalisation constant in the chiral limit. We stress the importance of preserving the axial-vector Ward-Takahashi identity in any study of the pion itself, and in any study whose goal is a unified understanding of the properties of the pion and other hadronic bound states.
{
"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
}