dorsal/arxiv
View SchemaA Mean Field Theory of the Chiral Phase Transition
| Authors | G. E. Brown, M. Buballa, M. Rho |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9603016 |
| URL | https://arxiv.org/abs/nucl-th/9603016 |
| DOI | 10.1016/S0375-9474(96)00295-3 |
| Journal | Nucl.Phys. A609 (1996) 519-536 |
Abstract
The recent discussions by Koci\'c and Kogut on the nature of the chiral phase transition are reviewed. The mean-field nature of the transition suggested by these authors is supported in random matrix theory by Verbaarschot and Jackson which reproduces many aspects of QCD lattice simulations. In this paper, we point out physical arguments that favor a mean-field transition, not only for zero density and high temperature, but also for finite density. We show, using the Gross-Neveu model in 3 spatial dimensions in mean-field approximation, how the phase transition is constructed. In order to reproduce the lowering of the $\rho=0$, $T=0$ vacuum evaluated in lattice calculations, we introduce {nucleons} rather than constituent quarks in negative energy states, down to a momentum cut-off of $\Lambda$. We also discuss Brown-Rho scaling of the hadron masses in relation to the QCD phase transition, and how this scaling affects the CERES and HELIOS-3 dilepton experiments.
{
"annotation_id": "07c8540f-dfaf-4f4b-8a87-71a459f331f0",
"date_created": "2026-03-02T18:00:15.301000Z",
"date_modified": "2026-03-02T18:00:15.301000Z",
"file_hash": "6fd21aeb73ef91634b47e6433afe1625c3a30fa0d8561278945192a5c24af099",
"private": false,
"record": {
"abstract": "The recent discussions by Koci\\\u0027c and Kogut on the nature of the chiral phase\ntransition are reviewed. The mean-field nature of the transition suggested by\nthese authors is supported in random matrix theory by Verbaarschot and Jackson\nwhich reproduces many aspects of QCD lattice simulations. In this paper, we\npoint out physical arguments that favor a mean-field transition, not only for\nzero density and high temperature, but also for finite density. We show, using\nthe Gross-Neveu model in 3 spatial dimensions in mean-field approximation, how\nthe phase transition is constructed. In order to reproduce the lowering of the\n$\\rho=0$, $T=0$ vacuum evaluated in lattice calculations, we introduce\n{nucleons} rather than constituent quarks in negative energy states, down to a\nmomentum cut-off of $\\Lambda$. We also discuss Brown-Rho scaling of the hadron\nmasses in relation to the QCD phase transition, and how this scaling affects\nthe CERES and HELIOS-3 dilepton experiments.",
"arxiv_id": "nucl-th/9603016",
"authors": [
"G. E. Brown",
"M. Buballa",
"M. Rho"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(96)00295-3",
"journal_ref": "Nucl.Phys. A609 (1996) 519-536",
"title": "A Mean Field Theory of the Chiral Phase Transition",
"url": "https://arxiv.org/abs/nucl-th/9603016"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "44168e2a-021f-45f4-9967-1b74edbe980e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}