{
  "id": "1611.07370",
  "version": "v1",
  "published": "2016-11-22T15:41:26.000Z",
  "updated": "2016-11-22T15:41:26.000Z",
  "title": "Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential",
  "authors": [
    "Zan Pan",
    "Zhu-Fang Cui",
    "Chao-Hsi Chang",
    "Hong-Shi Zong"
  ],
  "comment": "8 pages",
  "categories": [
    "hep-ph",
    "hep-lat"
  ],
  "abstract": "To investigate finite-volume effects on the chiral symmetry restoration and the deconfinement transition and some impacts of possible global topological background for a quantum chromodynamics (QCD) system with $N_f=2$ (two quark flavors), we apply the Polyakov-loop extended Nambu-Jona-Lasinio model by introducing a chiral chemical potential $\\mu_5$ artificially. The final numerical results indicate that the introduced chiral chemical potential does not change the critical exponents but shifts the location of critical end point (CEP) significantly; the ratios for the chiral chemical potentials and temperatures at CEP, $\\mu_c/\\mu_{5c}$ and $T_c/T_{5c}$, are significantly affected by the system size $R$. The behavior is that $T_c$ increases slowly with $\\mu_5$ when $R$ is large and $T_c$ decreases first and then increases with $\\mu_5$ when $R$ is small. It is also found that for a fixed $\\mu_5$, there is a $R_{\\text{min}}$, where the critical end point vanishes, and the whole phase diagram becomes a crossover when $R<R_{\\text{min}}$. Therefore, we suggest that for the heavy-ion collision experiments, which is to study the possible location of CEP, the finite-volume behavior should be taken into account.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-22T15:41:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chiral chemical potential",
      "polyakov-loop extended nambu-jona-lasinio model",
      "finite-volume effects",
      "phase transition",
      "critical end point vanishes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}