dorsal/arxiv
View SchemaQCD Sum Rules for Skeptics
| Authors | Derek B. Leinweber |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510051 |
| URL | https://arxiv.org/abs/nucl-th/9510051 |
| DOI | 10.1006/aphy.1996.5641 |
| Journal | Annals Phys.254:328-396,1997 |
Abstract
A new Monte-Carlo based uncertainty analysis is introduced to quantitatively determine the predictive ability of QCD sum rules. A comprehensive analysis of ground state rho-meson and nucleon spectral properties is performed. Many of the findings contradict the conventional wisdom of both practitioners and skeptics alike. Associations between the phenomenological fit parameters are particularly interesting as they reveal how the sum rules resolve the spectral properties. The use of derivative sum rules for the determination of rho-meson spectral properties is shown to be a very unfavorable approach. Most prior nucleon sum rule analyses are based on a sum rule which is found to be invalid; the results are suspect, and should be reevaluated. The ``Ioffe formula'', argued by many to qualitatively encapsulate a description of the nucleon mass in terms of the chiral symmetry breaking order parameter is misleading at best. QCD Sum Rules are found to be self-consistent without contributions from direct instantons. This implies that instanton effects are adequately accounted for in the nonperturbative vacuum condensates. This in-depth examination of QCD sum rule self consistency paints a favorable picture for further quantitative refinements of the QCD sum rule approach.
{
"annotation_id": "f14e827e-27fb-4c88-a6c1-c2dc4792e6e1",
"date_created": "2026-03-02T18:00:15.474000Z",
"date_modified": "2026-03-02T18:00:15.474000Z",
"file_hash": "20d4c6ef753322a53ec82aabf0684ca75538f4f9bf11a3ba60c5005451ee970b",
"private": false,
"record": {
"abstract": "A new Monte-Carlo based uncertainty analysis is introduced to quantitatively\ndetermine the predictive ability of QCD sum rules. A comprehensive analysis of\nground state rho-meson and nucleon spectral properties is performed. Many of\nthe findings contradict the conventional wisdom of both practitioners and\nskeptics alike. Associations between the phenomenological fit parameters are\nparticularly interesting as they reveal how the sum rules resolve the spectral\nproperties. The use of derivative sum rules for the determination of rho-meson\nspectral properties is shown to be a very unfavorable approach. Most prior\nnucleon sum rule analyses are based on a sum rule which is found to be invalid;\nthe results are suspect, and should be reevaluated. The ``Ioffe formula\u0027\u0027,\nargued by many to qualitatively encapsulate a description of the nucleon mass\nin terms of the chiral symmetry breaking order parameter is misleading at best.\nQCD Sum Rules are found to be self-consistent without contributions from direct\ninstantons. This implies that instanton effects are adequately accounted for in\nthe nonperturbative vacuum condensates. This in-depth examination of QCD sum\nrule self consistency paints a favorable picture for further quantitative\nrefinements of the QCD sum rule approach.",
"arxiv_id": "nucl-th/9510051",
"authors": [
"Derek B. Leinweber"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1006/aphy.1996.5641",
"journal_ref": "Annals Phys.254:328-396,1997",
"title": "QCD Sum Rules for Skeptics",
"url": "https://arxiv.org/abs/nucl-th/9510051"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "dab6c554-a238-479b-9792-d9adb81efef3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}