dorsal/arxiv
View SchemaBaryon Density and the Dilated Chiral Quark Model
| Authors | Youngman Kim, Hyun Kyu Lee |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9609020 |
| URL | https://arxiv.org/abs/nucl-th/9609020 |
| DOI | 10.1103/PhysRevC.55.3100 |
| Journal | Phys.Rev.C55:3100-3107,1997 |
Abstract
We calculate perturbatively the effect of density on hadronic properties using the chiral quark model implemented by the QCD trace anomaly to see the possibility of constructing Lorentz invariant Lagrangian at finite density. We calculate the density dependent masses of the constituent quark, the scalar field and the pion in one-loop order using the technique of thermo field dynamics. In the chiral limit, the pion remains massless at finite density. It is found that the tadpole type corrections lead to the decreasing masses with increasing baryon density, while the radiative corrections induce Lorentz-symmetry-breaking terms. We found in the large $N_c$ limit with large scalar mass that the tadpoles dominate and the mean-field approximation is reliable, giving rise a Lorentz-invariant Lagrangian with masses decreasing as the baryon density increases.
{
"annotation_id": "0052c6ca-0465-4d05-b0ca-0bb390597fa1",
"date_created": "2026-03-02T18:00:18.884000Z",
"date_modified": "2026-03-02T18:00:18.884000Z",
"file_hash": "878235ee9eba1a543e48f8db1a5ae438887ce9467d442f5d09bab6d74955d34f",
"private": false,
"record": {
"abstract": "We calculate perturbatively the effect of density on hadronic properties\nusing the chiral quark model implemented by the QCD trace anomaly to see the\npossibility of constructing Lorentz invariant Lagrangian at finite density. We\ncalculate the density dependent masses of the constituent quark, the scalar\nfield and the pion in one-loop order using the technique of thermo field\ndynamics. In the chiral limit, the pion remains massless at finite density. It\nis found that the tadpole type corrections lead to the decreasing masses with\nincreasing baryon density, while the radiative corrections induce\nLorentz-symmetry-breaking terms. We found in the large $N_c$ limit with large\nscalar mass that the tadpoles dominate and the mean-field approximation is\nreliable, giving rise a Lorentz-invariant Lagrangian with masses decreasing as\nthe baryon density increases.",
"arxiv_id": "nucl-th/9609020",
"authors": [
"Youngman Kim",
"Hyun Kyu Lee"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.55.3100",
"journal_ref": "Phys.Rev.C55:3100-3107,1997",
"title": "Baryon Density and the Dilated Chiral Quark Model",
"url": "https://arxiv.org/abs/nucl-th/9609020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "da4e9630-31d9-46a4-a738-f1a66ea51f2a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}