{
  "id": "hep-ph/9402213",
  "version": "v1",
  "published": "1994-02-02T23:25:45.000Z",
  "updated": "1994-02-02T23:25:45.000Z",
  "title": "Effect of Wavefunction Renormalisation in N-Flavour Qed3 at Finite Temperature",
  "authors": [
    "I. J. R. Aitchison",
    "M. Klein-Kreisler"
  ],
  "comment": "17 pages + 13 figures (available upon request), Oxford preprint OUTP-93-30P, IFUNAM preprint FT94-39, LaTex",
  "journal": "Phys.Rev. D50 (1994) 1068-1076",
  "doi": "10.1103/PhysRevD.50.1068",
  "categories": [
    "hep-ph",
    "cond-mat",
    "hep-lat",
    "hep-th"
  ],
  "abstract": "A recent study of dynamical chiral symmetry breaking in N-flavour QED$_3$ at finite temperature is extended to include the effect of fermion wavefunction renormalisation in the Schwinger-Dyson equations. The simple ``zero-frequency'' truncation previously used is found to lead to unphysical results, especially as $T \\to 0$. A modified set of equations is proposed, whose solutions behave in a way which is qualitatively similar to the $T=0$ solutions of Pennington et al. [5-8] who have made extensive studies of the effect of wavefunction renormalisation in this context, and who concluded that there was no critical $N_c$ (at T=0) above which chiral symmetry was restored. In contrast, we find that our modified equations predict a critical $N_c$ at $T \\not= 0$, and an $N-T$ phase diagram very similar to the earlier study neglecting wavefunction renormalisation. The reason for the difference is traced to the different infrared behaviour of the vacuum polarisation at $T=0$ and at $T \\not= 0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-02-02T23:25:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite temperature",
      "n-flavour qed3",
      "earlier study neglecting wavefunction renormalisation",
      "fermion wavefunction renormalisation",
      "vacuum polarisation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 371589
    }
  }
}