{
  "id": "2408.05522",
  "version": "v1",
  "published": "2024-08-10T11:37:43.000Z",
  "updated": "2024-08-10T11:37:43.000Z",
  "title": "Entanglement of Purification as a Measure of Non-Conformality",
  "authors": [
    "M. Asadi"
  ],
  "comment": "10 pages, 11 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "We have studied the entanglement of purification $E_p$ in a non-conformal holographic model which is a 5- dimensional Einstein gravity coupled to a scalar field $\\phi$ with a non-trivial potential $V(\\phi)$. The dual 4-dimensional gauge theory is not conformal and exhibits a FG flow between two different fixed points. There are three parameters including energy scale $\\Lambda$, model parameter $\\phi_M$ and temperature $T$ which control the behavior of the model. Interestingly, we have found that $E_p$ can be used as a measure to probe the non-conformal behavior of the theory at both zero and finite temperature. Furthermore, we have found that if one considers two different mixed states characterized by distinct values of $\\frac{\\Lambda}{T}$, then the correlation between the subsystems of these states can be the same independent of $\\frac{\\Lambda}{T}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-10T11:37:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement",
      "purification",
      "non-conformality",
      "non-conformal holographic model",
      "dimensional einstein gravity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}