{
  "id": "0805.0060",
  "version": "v2",
  "published": "2008-05-01T06:21:37.000Z",
  "updated": "2008-07-18T06:52:25.000Z",
  "title": "Pion weak decay constant at finite density from the instanton vacuum",
  "authors": [
    "Seung-il Nam",
    "Hyun-Chul Kim"
  ],
  "comment": "12 pages, 4 figures, accepted for publicaion in Phys.Lett.B",
  "journal": "Phys.Lett.B666:324-331,2008",
  "doi": "10.1016/j.physletb.2008.07.058",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We investigate the pion weak decay constant (F_pi) and pion mass (m_pi) at finite density within the framework of the nonlocal chiral quark model from the instanton vacuum with the finite quark-number chemical potential (mu) taken into account. We mainly focus on the Nambu-Goldstone phase below the critical value of the chemical potential mu_c ~ 320 MeV, which is determined consistently within the present framework. The breakdown of Lorentz invariance at finite density being considered, the time (F^t_pi) and space (F^s_pi) components are computed separately, and the corresponding results turn out to be: F^t_pi = 82.96 MeV and F^s_pi = 80.29 MeV at mu_c, respectively. Using the in-medium Gell-Mann-Oakes-Renner (GOR) relation, we show that the pion mass increases by about 15% at mu_c.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-18T06:52:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.40.Aq",
      "13.20.Cz",
      "12.38.Lg"
    ],
    "keywords": [
      "pion weak decay constant",
      "finite density",
      "instanton vacuum",
      "nonlocal chiral quark model",
      "pion mass increases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters B",
      "year": 2008,
      "month": "Sep",
      "volume": 666,
      "number": 4,
      "pages": 324
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 784751,
      "adsabs": "2008PhLB..666..324N"
    }
  }
}