{
  "id": "hep-ph/0604051",
  "version": "v1",
  "published": "2006-04-06T09:19:48.000Z",
  "updated": "2006-04-06T09:19:48.000Z",
  "title": "NJL model derived from QCD",
  "authors": [
    "Boris A. Arbuzov",
    "Mikhail K. Volkov",
    "Ivan V. Zaitsev"
  ],
  "comment": "19 pages, 2 figures",
  "journal": "Int.J.Mod.Phys. A21 (2006) 5721-5742",
  "doi": "10.1142/S0217751X06033830",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value of $\\alpha_s$ and current light quark mass $m_0$. All other low-energy parameters: the pion decay constant, mass of the $\\pi$-meson, mass of the $\\sigma$-meson and its width, the constituent quark mass, the quark condensate are expressed in terms of the two input parameters in satisfactory correspondence to experimental data and chiral phenomenology. {\\it E.g.} in the approximation being used we have for $\\alpha_s = 0.67$ and $m_0 = 20 MeV$: $f_\\pi = 93 MeV, m_\\pi = 135 MeV, m_\\sigma = 492 MeV, \\Gamma_\\sigma = 574 MeV, m_q = 295 MeV, <\\bar q q> = -(222 MeV)^3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-06T09:19:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Rd",
      "12.39.-x",
      "12.40.Yx",
      "12.38.Lg"
    ],
    "keywords": [
      "njl model",
      "current light quark mass",
      "average low-energy value",
      "pion decay constant",
      "constituent quark mass"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Modern Physics A",
      "year": 2006,
      "volume": 21,
      "number": "28-29",
      "pages": 5721
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 713987,
      "adsabs": "2006IJMPA..21.5721A"
    }
  }
}