{
  "id": "1308.6476",
  "version": "v3",
  "published": "2013-08-29T14:14:09.000Z",
  "updated": "2014-08-20T09:16:19.000Z",
  "title": "Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration",
  "authors": [
    "Yong-Liang Ma",
    "Masayasu Harada",
    "Hyun Kyu Lee",
    "Yongseok Oh",
    "Byung-Yoon Park",
    "Mannque Rho"
  ],
  "journal": "Physical Review D 90, 034015 (2014)",
  "categories": [
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "We find that, when the dilaton is implemented as a (pseudo-)Nambu-Goldstone boson using a conformal compensator or \"conformon\" in a hidden gauge symmetric Lagrangian written to $O(p^4)$ from which baryons arise as solitons, namely, skyrmions, the vector manifestation and chiral symmetry restoration at high density predicted in hidden local symmetry theory --- which is consistent with Brown-Rho scaling --- are lost or sent to infinite density. It is shown that they can be restored if in medium the behavior of the $\\omega$ field is taken to deviate from that of the $\\rho$ meson in such a way that the flavor $U(2)$ symmetry is strongly broken at increasing density. The hitherto unexposed crucial role of the $\\omega$ meson in the structure of elementary baryon and multibaryon systems is uncovered in this work. In the state of half-skyrmions to which the skyrmions transform at a density $n_{1/2}^{} \\gtrsim n_0^{}$ (where $n_0^{}$ is the normal nuclear matter density), characterized by the vanishing (space averaged) quark condensate but nonzero pion decay constant, the nucleon mass remains more or less constant at a value $\\gtrsim$ 60 \\% of the vacuum value indicating a large component of the nucleon mass that is not associated with the spontaneous breaking of chiral symmetry. We discuss its connection to the chiral-invariant mass $m_0^{}$ that figures in the parity-doublet baryon model.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-19T12:28:09.000Z",
      "abstract": "We find that, when the dilaton is implemented as a (pseudo) Nambu-Goldstone boson using conformal compensator or \"conformon\" in hidden gauge symmetric Lagrangian written to $O(p^4)$ from which baryons arise as solitons, namely, skyrmions, the vector manifestation and chiral symmetry restoration at high density predicted in hidden local symmetry theory -- which is consistent with Brown-Rho scaling -- are lost or sent to infinite density. It is shown that they can be restored if in medium the behavior of the $\\omega$ field is taken to deviate from that of the $\\rho$ meson in such a way that the flavor $U(2)$ symmetry is strongly broken at increasing density. The hitherto unexposed crucial role of the $\\omega$ meson in the structure of elementary baryon and multibaryon systems is uncovered in this work. In the state of half-skyrmions to which the skyrmions transform at a density $n_{1/2}^{} \\gtrsim n_0^{}$ (where $n_0^{}$ is the normal nuclear matter density), characterized by the vanishing (space averaged) quark condensate but nonzero pion decay constant, the nucleon mass remains more or less constant at a value $\\gtrsim$ 60 \\% of the vacuum value indicating a large component of the nucleon mass that is not associated with the spontaneous breaking of chiral symmetry. We discuss its connection to the chiral invariant mass $m_0^{}$ that figures in the parity-doublet baryon model.",
      "comment": "16 pages, 6 eps figures. The parameter \"a\" independence of the medium modified pion decay constant is proved. More discussions and references are given",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-08-20T09:16:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.39.Dc",
      "12.39.Fe",
      "21.65.-f",
      "21.65.Jk"
    ],
    "keywords": [
      "chiral symmetry restoration",
      "conformally-compensated hidden local symmetry",
      "dense baryonic matter",
      "vector manifestation",
      "hidden gauge symmetric lagrangian written"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "doi": "10.1103/PhysRevD.90.034015",
      "year": 2014,
      "month": "Aug",
      "volume": 90,
      "number": 3,
      "pages": "034015"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1251566,
      "adsabs": "2014PhRvD..90c4015M"
    }
  }
}