dorsal/arxiv
View SchemaCovariant Model for Dynamical Quark Confinement
| Authors | Helmut Haberzettl |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9403006 |
| URL | https://arxiv.org/abs/nucl-th/9403006 |
| DOI | 10.1016/0375-9474(94)00467-2 |
Abstract
Based on a recent manifestly covariant time-ordered approach to the relativistic many-body problem, the quark propagator is defined by a nonlinear Dyson--Schwinger-type integral equation, with a one-gluon loop. The resulting energy-dependent quark mass is such that the propagator is singularity-free for real energies, thus ensuring confinement. The self-energy integral converges without regularization, due to the chiral limit of the quark mass itself. Moreover, the integral determines the low-energy limit of the quark-gluon coupling constant, for which a value of $g^2/4\pi =4.712$ is found.
{
"annotation_id": "a52e4e99-cd17-4dee-a844-825d0b830651",
"date_created": "2026-03-02T18:00:11.852000Z",
"date_modified": "2026-03-02T18:00:11.852000Z",
"file_hash": "030f59e8874f6c07ab2b08fa25b9455ce009ffecbc15c221ee25f481eb570c6f",
"private": false,
"record": {
"abstract": "Based on a recent manifestly covariant time-ordered approach to the\nrelativistic many-body problem, the quark propagator is defined by a nonlinear\nDyson--Schwinger-type integral equation, with a one-gluon loop. The resulting\nenergy-dependent quark mass is such that the propagator is singularity-free for\nreal energies, thus ensuring confinement. The self-energy integral converges\nwithout regularization, due to the chiral limit of the quark mass itself.\nMoreover, the integral determines the low-energy limit of the quark-gluon\ncoupling constant, for which a value of $g^2/4\\pi =4.712$ is found.",
"arxiv_id": "nucl-th/9403006",
"authors": [
"Helmut Haberzettl"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)00467-2",
"title": "Covariant Model for Dynamical Quark Confinement",
"url": "https://arxiv.org/abs/nucl-th/9403006"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "99e4431e-0961-451e-8db8-c1dacdf16b8d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}