{
  "id": "hep-th/9508102",
  "version": "v1",
  "published": "1995-08-21T21:36:20.000Z",
  "updated": "1995-08-21T21:36:20.000Z",
  "title": "On the finite temperature $λ\\varphi^{4}$ and Gross-Neveu models. Is there a first order phase transition in $(λ\\varphi^{4})_{D=3}$?",
  "authors": [
    "A. P. C. Malbouisson",
    "N. F. Svaiter"
  ],
  "journal": "Physica A233 (1996) 573-583",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study the behavior of two diferent models at finite temperature in a $D$-dimensional spacetime. The first one is the $\\lambda\\varphi^{4}$ model and the second one is the Gross-Neveu model. Using the one-loop approximation we show that in the $\\lambda\\varphi^{4}$ model the thermal mass increase with the temperature while the thermal coupling constant decrese with the temperature. Using this facts we establish that in the $(\\lambda\\varphi^{4})_{D=3}$ model there is a temperature $\\beta^{-1}_{\\star}$ above which the system can develop a first order phase transition, where the origin corresponds to a metastable vacuum. In the massless Gross-Neveu model, we demonstrate that for $D=3$ the thermal correction to the coupling constant is zero. For $D\\neq 3$ our results are inconclusive. Pacs numbers: 11.10.Ef, 11.10.Gh",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-08-21T21:36:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first order phase transition",
      "gross-neveu model",
      "finite temperature",
      "thermal mass increase",
      "thermal coupling constant decrese"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/S0378-4371(96)00222-1"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 398577
    }
  }
}