{
  "annotation_id": "ac666509-8bad-42d4-aab4-ceb49b4fc429",
  "date_created": "2026-03-02T18:00:25.312000Z",
  "date_modified": "2026-03-02T18:00:25.312000Z",
  "file_hash": "ab692473a9ae7c19b4df1dfbc80774d397f4f70f412d627b4051313b40948617",
  "private": false,
  "record": {
    "abstract": "Nonperturbative flow equations within an effective linear sigma model coupled\nto constituent quarks for two quark flavors are derived and solved. A heat\nkernel regularization is employed for a renormalization group improved\neffective potential. We determine the initial values of the coupling constants\nin the effective potential at zero temperature. Solving the evolution equations\nwith the same initial values at finite temperature in the chiral limit, we find\na second order phase transition at T_c \\approx 150 MeV. Due to the smooth\ndecoupling of massive modes, we can directly link the low-temperature\nfour-dimensional theory to the three-dimensional high-temperature theory. We\ncalculate the equation of state in the chiral limit and for finite pion masses\nand determine universal critical exponents.",
    "arxiv_id": "nucl-th/9903003",
    "authors": [
      "B. -J. Schaefer",
      "H. -J. Pirner"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/S0375-9474(99)00409-1",
    "journal_ref": "Nucl.Phys. A660 (1999) 439-474",
    "title": "Renormalization Group Flow and Equation of State of Quarks and Mesons",
    "url": "https://arxiv.org/abs/nucl-th/9903003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7ae1a0a7-d79c-47f1-bb6e-b96c746a6fab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}