{
  "id": "hep-th/9509077",
  "version": "v1",
  "published": "1995-09-14T09:16:40.000Z",
  "updated": "1995-09-14T09:16:40.000Z",
  "title": "The heat kernel approach for calculating the effective action in quantum field theory and quantum gravity",
  "authors": [
    "Ivan G. Avramidi"
  ],
  "comment": "21 pages, Plain TeX, 52 KB, no figures",
  "categories": [
    "hep-th",
    "gr-qc"
  ],
  "abstract": "A short informal overview about recent progress in the calculation of the effective action in quantum gravity is given. I describe briefly the standard heat kernel approach to the calculation of the effective action and discuss the applicability of the Schwinger - De Witt asymptotic expansion in the case of strong background fields. I propose a new ansatz for the heat kernel that generalizes the Schwinger - De Witt one and is always valid. Then I discuss the general structure of the asymptotic expansion and put forward some approximate explicitly covariant methods for calculating the heat kernel, namely, the high-energy approximation as well as the low-energy one. In both cases the explicit formulae for the heat kernel are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-09-14T09:16:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum field theory",
      "effective action",
      "quantum gravity",
      "standard heat kernel approach",
      "short informal overview"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 385487,
      "adsabs": "1995hep.th....9077A"
    }
  }
}