{
  "id": "1512.01334",
  "version": "v1",
  "published": "2015-12-04T07:57:34.000Z",
  "updated": "2015-12-04T07:57:34.000Z",
  "title": "Entanglement in Four-Dimensional SU(3) Gauge Theory",
  "authors": [
    "Etsuko Itou",
    "Keitaro Nagata",
    "Yoshiyuki Nakagawa",
    "Atsushi Nakamura",
    "V. I. Zakharov"
  ],
  "comment": "5 pages, 2figures",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "hep-lat",
    "nucl-th"
  ],
  "abstract": "We investigate the quantum entanglement entropy for the four-dimensional Euclidean SU(3) gauge theory. We present the first non-perturbative calculation of the entropic $c$-function ($C(l)$) of SU(3) gauge theory in lattice Monte Carlo simulation using the replica method. For $0 \\leqslant l \\leqslant 0.7$~fm, where $l$ is the length of the subspace, the entropic $c$-function is almost constant, indicating conformally invariant dynamics. The value of the constant agrees with that perturbatively obtained from free gluons, with 20 % discrepancy. When $l$ is close to the Hadronic scale, the entropic $c$-function decreases smoothly, and it is consistent with zero within error bars at $l \\gtrsim 0.9$ fm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-04T07:57:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "four-dimensional su",
      "lattice monte carlo simulation",
      "four-dimensional euclidean su",
      "quantum entanglement entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1408294
    }
  }
}