{
  "id": "hep-ph/9712413",
  "version": "v1",
  "published": "1997-12-17T11:09:47.000Z",
  "updated": "1997-12-17T11:09:47.000Z",
  "title": "Nonperturbative Flow Equations with Heat-Kernel Methods at finite Temperature",
  "authors": [
    "B. -J. Schaefer",
    "H. J. Pirner"
  ],
  "comment": "17 pages including 7 figures, LaTeX, uses epsf.sty. Talk given by the first author at Research Workshop on Deconfinement at Finite Temperature and Density, JINR Dubna, Russia, October 1-29, 1997",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We derive nonperturbative flow equations within an effective constituent quark model for two quark flavors. Heat-kernel methods are employed for a renormalization group improved effective potential. We study the evolution of the effective potential with respect to an infrared cutoff scale $k$ at vanishing temperature. At the first stage we omit corrections coming from the anomalous dimension. This investigation is extrapolated to finite temperature, where we find a second order phase transition in the chiral limit at $T_c \\approx 130$ MeV. Due to a smooth decoupling of massive modes, we can directly link the low-temperature four-dimensional theory to the three-dimensional high-temperature theory and can determine universal critical exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-12-17T11:09:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonperturbative flow equations",
      "finite temperature",
      "heat-kernel methods",
      "second order phase transition",
      "effective constituent quark model"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 452523,
      "adsabs": "1997hep.ph...12413S"
    }
  }
}