{
  "id": "hep-ph/0411181",
  "version": "v1",
  "published": "2004-11-12T23:43:31.000Z",
  "updated": "2004-11-12T23:43:31.000Z",
  "title": "Magnetic susceptibility of the QCD vacuum",
  "authors": [
    "Hyun-Chul Kim",
    "M. Musakhanov",
    "M. Siddikov"
  ],
  "comment": "13 pages, 2 figures",
  "journal": "Phys.Lett. B608 (2005) 95-106",
  "doi": "10.1016/j.physletb.2004.12.080",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We investigate the magnetic susceptibility of the QCD vacuum, based on the instanton vacuum. Starting from the instanton liquid model for the instanton vacuum, we derive the light-quark partition function $Z[V,T,\\hat{m}]$ in the presence of the current quark mass $\\hat{m}$ as well as the external Abelian vector and tensor fields. We calculate a two-point correlation function relevant for the magnetic susceptibility and derive it beyond the chiral limit. We obtain for the different flavors the following magnetic susceptibility: $\\chi_{u,d}< i\\psi_{u,d}^\\dagger \\psi_{u,d}>_0 \\sim 40\\sim45 {\\rm MeV}$, while $\\chi_{s}< i\\psi_s^\\dagger \\psi_s >_0 \\simeq 6\\sim 10 {\\rm MeV}$ with the quark condensate $<i\\psi^\\dagger \\psi>_0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-12T23:43:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic susceptibility",
      "qcd vacuum",
      "instanton vacuum",
      "two-point correlation function relevant",
      "instanton liquid model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 664510
    }
  }
}