{
  "id": "2209.13190",
  "version": "v1",
  "published": "2022-09-27T06:46:10.000Z",
  "updated": "2022-09-27T06:46:10.000Z",
  "title": "$U_A(1)$ symmetry restoration at high baryon density",
  "authors": [
    "Jianing Li",
    "Jin Gui",
    "Pengfei Zhuang"
  ],
  "comment": "9 pages, 4 figures",
  "categories": [
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "We study the relation between chiral and $U_A(1)$ symmetries in quark-meson and Nambu--Jona-Lasinio models. The topological susceptibility describing $U_A(1)$ breaking contains two components, the condensate controlled one and the meson fluctuation one, and the $U_A(1)$ restoration is governed by their competition. In hot medium the condensates are melted but the fluctuation is enhanced, the $U_A(1)$ symmetry can therefore not be restored by temperature effect alone. The baryon density, however, reduces both the condensates and fluctuation, the $U_A(1)$ symmetry can only be restored in dense or dense and hot mediums. The strange condensate plays a weak role in the susceptibility, the chiral and $U_A(1)$ symmetry restoration happen at almost the same critical point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-27T06:46:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high baryon density",
      "hot medium",
      "symmetry restoration happen",
      "strange condensate plays",
      "nambu-jona-lasinio models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}