{
  "id": "1010.3389",
  "version": "v1",
  "published": "2010-10-17T01:46:07.000Z",
  "updated": "2010-10-17T01:46:07.000Z",
  "title": "Estimate of the Critical Exponents from the Field-Theoretical Renormalization Group: Mathematical Sense of the \"Standard Values\"",
  "authors": [
    "A. A. Pogorelov",
    "I. M Suslov"
  ],
  "comment": "PDF, 12 pages",
  "journal": "J.Exp.Theor.Phys.106:1118,2008; Zh.Eksp.Teor.Fiz.133:1277,2008",
  "doi": "10.1134/S1063776108060113",
  "categories": [
    "cond-mat.stat-mech",
    "hep-ph"
  ],
  "abstract": "New estimates of the critical exponents have been obtained from the field-theoretical renormalization group using a new method for summing divergent series. The results almost coincide with the central values obtained by Le Guillou and Zinn-Justin (the so-called \"standard values\"), but have lower uncertainty. It has been shown that usual field-theoretical estimates implicitly imply the smoothness of the coefficient functions. The last assumption is open for discussion in view of the existence of the oscillating contribution to the coefficient functions. The appropriate interpretation of the last contribution is necessary both for the estimation of the systematic errors in the \"standard values\" and for a further increase in accuracy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-17T01:46:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Pg",
      "64.60.F-",
      "75.10.Hk",
      "11.15.Me",
      "11.10.Kk"
    ],
    "keywords": [
      "field-theoretical renormalization group",
      "standard values",
      "critical exponents",
      "mathematical sense",
      "coefficient functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Soviet Journal of Experimental and Theoretical Physics",
      "year": 2008,
      "month": "Jun",
      "volume": 106,
      "number": 6,
      "pages": 1118
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 796144,
      "adsabs": "2008JETP..106.1118P"
    }
  }
}