{
  "id": "hep-ph/9409436",
  "version": "v1",
  "published": "1994-09-29T09:05:52.000Z",
  "updated": "1994-09-29T09:05:52.000Z",
  "title": "Effective Field Theory of the Linear $O(N)$ Sigma Model",
  "authors": [
    "A. Nyffeler",
    "A. Schenk"
  ],
  "comment": "42 pages, LaTeX, BUTP-94/12, HUTP-94/A012, to appear in Ann. Phys",
  "journal": "Ann.Phys.241:301-336,1995",
  "doi": "10.1006/aphy.1995.1065",
  "categories": [
    "hep-ph"
  ],
  "abstract": "The low energy structure of a theory containing light and heavy particle species which are separated by a mass gap can adequately be described by an effective theory which contains only the light particles. In this work we present a thorough analysis of the effective field theory of the linear $O(N)$ sigma model in the spontaneously broken phase. In particular, we present a detailed discussion of two techniques, a short-distance expansion and a method based on loop-integrals, which can be used to explicitly evaluate the functional relationships between the low energy constants of the effective theory and the parameters of the underlying theory. We furthermore provide a detailed analysis of the matching relation between the linear sigma model and its effective theory, in order to clarify some discrepancies which can be found in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-09-29T09:05:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "effective field theory",
      "effective theory",
      "low energy structure",
      "linear sigma model",
      "heavy particle species"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 377446
    }
  }
}