{
  "id": "2404.06142",
  "version": "v1",
  "published": "2024-04-09T09:07:16.000Z",
  "updated": "2024-04-09T09:07:16.000Z",
  "title": "A look at the operator product expansion in critical dynamics",
  "authors": [
    "Carlo Pagani",
    "Janik Sobieray"
  ],
  "comment": "32 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider the critical relaxation of the Ising model, the so-called model A, and study its operator product expansion. Within perturbation theory, we focus on the operator product expansions of the two-point function and the response function. At the fixed point, we normalize the coefficients and the scaling variables so that the result displays universality. The role of the fluctuation-dissipation theorem is also discussed, and it is shown that it provides non-perturbative relations among the operator product expansion coefficients. Finally, the large N limit is considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-09T09:07:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical dynamics",
      "operator product expansion coefficients",
      "result displays universality",
      "fluctuation-dissipation theorem",
      "perturbation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}