{
  "id": "2401.02517",
  "version": "v1",
  "published": "2024-01-04T19:57:56.000Z",
  "updated": "2024-01-04T19:57:56.000Z",
  "title": "Conformal invariance and composite operators: A strategy for improving the derivative expansion of the nonperturbative renormalization group",
  "authors": [
    "Bertrand Delamotte",
    "Gonzalo De Polsi",
    "Matthieu Tissier",
    "Nicolás Wschebor"
  ],
  "comment": "20 pages, 10 figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "It is expected that conformal symmetry is an emergent property of many systems at their critical point. This imposes strong constraints on the critical behavior of a given system. Taking them into account in theoretical approaches can lead to a better understanding of the critical physics or improve approximation schemes. However, within the framework of the non-perturbative or functional renormalization group and, in particular, of one of its most used approximation schemes, the Derivative Expansion (DE), non-trivial constraints only apply from third order (usually denoted $\\mathcal{O}(\\partial^4)$), at least in the usual formulation of the DE that includes correlation functions involving only the order parameter. In this work, we implement conformal constraints on a generalized DE including composite operators and show that new constraints already appear at second order of the DE (or $\\mathcal{O}(\\partial^2)$). We show how these constraints can be used to fix nonphysical regulator parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-04T19:57:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonperturbative renormalization group",
      "composite operators",
      "derivative expansion",
      "conformal invariance",
      "approximation schemes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}