dorsal/arxiv
View SchemaQuark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
| Authors | Hrayr H. Matevosyan, Anthony W. Thomas, Peter C. Tandy |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605057 |
| URL | https://arxiv.org/abs/nucl-th/0605057 |
| DOI | 10.1103/PhysRevC.75.045201 |
| Journal | Phys.Rev.C75:045201,2007 |
Abstract
We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light quark pseudoscalar and vector mesons. The diagrammatic specification of the vertex is mapped into a corresponding specification of the Bethe-Salpeter kernel, which preserves chiral symmetry. This study adopts the algebraic format afforded by the simple interaction kernel used in previous work on this topic. The new feature of the present work is that in every diagram summed for the vertex and the corresponding Bethe-Salpeter kernel, each quark-gluon vertex is required to be the self-consistent vertex solution. We also adopt from previous work the effective accounting for the role of the explicitly non-Abelian three gluon coupling in a global manner through one parameter determined from recent lattice-QCD data for the vertex. With the more consistent vertex used here, the error in ladder-rainbow truncation for vector mesons is never more than 10% as the current quark mass is varied from the u/d region to the b region.
{
"annotation_id": "b34a5c9a-cd8f-4c3e-b622-65eeb3386992",
"date_created": "2026-03-02T18:00:07.907000Z",
"date_modified": "2026-03-02T18:00:07.907000Z",
"file_hash": "3129b48b7c2407852d27f072d2289af4e8cf1018dc410ab1a09e8f05d171ab25",
"private": false,
"record": {
"abstract": "We include a generalized infinite class of quark-gluon vertex dressing\ndiagrams in a study of how dynamics beyond the ladder-rainbow truncation\ninfluences the Bethe-Salpeter description of light quark pseudoscalar and\nvector mesons. The diagrammatic specification of the vertex is mapped into a\ncorresponding specification of the Bethe-Salpeter kernel, which preserves\nchiral symmetry. This study adopts the algebraic format afforded by the simple\ninteraction kernel used in previous work on this topic. The new feature of the\npresent work is that in every diagram summed for the vertex and the\ncorresponding Bethe-Salpeter kernel, each quark-gluon vertex is required to be\nthe self-consistent vertex solution. We also adopt from previous work the\neffective accounting for the role of the explicitly non-Abelian three gluon\ncoupling in a global manner through one parameter determined from recent\nlattice-QCD data for the vertex. With the more consistent vertex used here, the\nerror in ladder-rainbow truncation for vector mesons is never more than 10% as\nthe current quark mass is varied from the u/d region to the b region.",
"arxiv_id": "nucl-th/0605057",
"authors": [
"Hrayr H. Matevosyan",
"Anthony W. Thomas",
"Peter C. Tandy"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.045201",
"journal_ref": "Phys.Rev.C75:045201,2007",
"title": "Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation",
"url": "https://arxiv.org/abs/nucl-th/0605057"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "85f48bdd-54a7-47c8-a39d-144e557e357b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}