{
  "id": "hep-ph/0108009",
  "version": "v2",
  "published": "2001-08-01T22:34:54.000Z",
  "updated": "2001-10-16T19:58:16.000Z",
  "title": "Phenomenological Equations of State for the Quark-Gluon Plasma",
  "authors": [
    "Peter N. Meisinger",
    "Travis R. Miller",
    "Michael C. Ogilvie"
  ],
  "comment": "22 pages, RevTeX, 9 eps files",
  "journal": "Phys.Rev. D65 (2002) 034009",
  "doi": "10.1103/PhysRevD.65.034009",
  "categories": [
    "hep-ph",
    "hep-lat"
  ],
  "abstract": "Two phenomenological models describing an SU(N) quark-gluon plasma are presented. The first is obtained from high temperature expansions of the free energy of a massive gluon, while the second is derived by demanding color neutrality over a certain length scale. Each model has a single free parameter, exhibits behavior similar to lattice simulations over the range T_d - 5T_d, and has the correct blackbody behavior for large temperatures. The N = 2 deconfinement transition is second order in both models, while N = 3,4, and 5 are first order. Both models appear to have a smooth large-N limit. For N >= 4, it is shown that the trace of the Polyakov loop is insufficient to characterize the phase structure; the free energy is best described using the eigenvalues of the Polyakov loop. In both models, the confined phase is characterized by a mutual repulsion of Polyakov loop eigenvalues that makes the Polyakov loop expectation value zero. In the deconfined phase, the rotation of the eigenvalues in the complex plane towards 1 is responsible for the approach to the blackbody limit over the range T_d - 5T_d. The addition of massless quarks in SU(3) breaks Z(3) symmetry weakly and eliminates the deconfining phase transition. In contrast, a first-order phase transition persists with sufficiently heavy quarks.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-10-16T19:58:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Gc",
      "11.10.Wx",
      "12.38.Mh"
    ],
    "keywords": [
      "quark-gluon plasma",
      "phenomenological equations",
      "polyakov loop expectation value zero",
      "free energy",
      "first-order phase transition persists"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 560935
    }
  }
}