{
  "id": "1403.0664",
  "version": "v2",
  "published": "2014-03-04T02:42:05.000Z",
  "updated": "2014-03-10T03:33:06.000Z",
  "title": "Chiral symmetry in $SU(N_c)$ gauge theories at high density",
  "authors": [
    "E. T. Tomboulis"
  ],
  "comment": "18 pages, 4 figures, some comments and additional discussion and references included. arXiv admin note: substantial text overlap with arXiv:1304.4678",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "We study $SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions in the presence of quark chemical potential $\\mu$. A recent exact result that in the strong coupling limit (vanishing inverse gauge coupling $\\beta$) and for sufficiently large $\\mu$ the theory is in a chiral symmetric phase is here extended into the finite gauge coupling region. A cluster expansion combining a fermion spacelike hopping expansion and a strong coupling plaquette expansion is shown to converge for sufficiently large $\\mu$ and small $\\beta$ at any temperature $T$. All expectations of chirally non-invariant local fermion operators vanish identically, or, equivalently, their correlations cluster exponentially within the expansion implying absence of spontaneous chiral symmetry breaking. The resulting phase at low $T$ may be described as a \"quarkyonic\" matter phase. Some implications for the phase diagram of $SU(N_c)$ theories are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-10T03:33:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Ha",
      "11.15.Me",
      "11.30.Rd",
      "11.10.Mx"
    ],
    "keywords": [
      "gauge theories",
      "chiral symmetry",
      "high density",
      "local fermion operators vanish"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0217751X14450043",
      "journal": "International Journal of Modern Physics A",
      "year": 2014,
      "month": "Oct",
      "volume": 29,
      "number": 25,
      "pages": 1445004
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1283615,
      "adsabs": "2014IJMPA..2945004T"
    }
  }
}