{
  "id": "cond-mat/9809274",
  "version": "v1",
  "published": "1998-09-21T12:25:37.000Z",
  "updated": "1998-09-21T12:25:37.000Z",
  "title": "Grassmann Algebra and Fermions at Finite Temperature",
  "authors": [
    "I. C. Charret",
    "E. V. Corrêa Silva",
    "S. M. de Souza",
    "O. Rojas Santos",
    "M. T. Thomaz"
  ],
  "comment": "Latex, 18 pages, no figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "For any d-dimensional self-interacting fermionic model, all coefficients in the high-temperature expansion of its grand canonical partition function can be put in terms of multivariable Grassmann integrals. A new approach to calculate such coefficients, based on direct exploitation of the grassmannian nature of fermionic operators, is presented. We apply the method to the soluble Hatsugai-Kohmoto model, reobtaining well-known results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-21T12:25:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.30.Fk",
      "05.30.Ch",
      "02.10.-v"
    ],
    "keywords": [
      "finite temperature",
      "grassmann algebra",
      "d-dimensional self-interacting fermionic model",
      "grand canonical partition function",
      "reobtaining well-known results"
    ],
    "publication": {
      "doi": "10.1063/1.533008",
      "journal": "Journal of Mathematical Physics",
      "year": 1999,
      "month": "Oct",
      "volume": 40,
      "number": 10,
      "pages": 4944
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999JMP....40.4944C"
    }
  }
}