{
  "id": "1501.07150",
  "version": "v1",
  "published": "2015-01-28T15:36:05.000Z",
  "updated": "2015-01-28T15:36:05.000Z",
  "title": "Yang-Mills two-point functions in linear covariant gauges",
  "authors": [
    "A. C. Aguilar",
    "D. Binosi",
    "J. Papavassiliou"
  ],
  "comment": "28 pages, 10 figures",
  "categories": [
    "hep-ph",
    "hep-lat",
    "hep-th"
  ],
  "abstract": "In this work we use two different but complementary approaches in order to study the ghost propagator of a pure SU(3) Yang-Mills theory quantized in the linear covariant gauges, focusing on its dependence on the gauge-fixing parameter $\\xi$ in the deep infrared. In particular, we first solve the Schwinger-Dyson equation that governs the dynamics of the ghost propagator, using a set of simplifying approximations, and under the crucial assumption that the gluon propagators for $\\xi>0$ are infrared finite, as is the case in the Landau gauge $(\\xi=0)$. Then we appeal to the Nielsen identities, and express the derivative of the ghost propagator with respect to $\\xi$ in terms of certain auxiliary Green's functions, which are subsequently computed under the same assumptions as before. Within both formalisms we find that for $\\xi>0$ the ghost dressing function approaches zero in the deep infrared, in sharp contrast to what happens in the Landau gauge, where it known to saturate at a finite (non-vanishing) value. The Nielsen identities are then extended to the case of the gluon propagator, and the $\\xi$-dependence of the corresponding gluon masses is derived using as input the results obtained in the previous steps. The result turns out to be logarithmically divergent in the deep infrared; the compatibility of this behavior with the basic assumption of a finite gluon propagator is discussed, and a specific Ansatz is put forth, which readily reconciles both features.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-28T15:36:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Aw",
      "12.38.Lg",
      "14.70.Dj"
    ],
    "keywords": [
      "linear covariant gauges",
      "yang-mills two-point functions",
      "gluon propagator",
      "ghost propagator",
      "nielsen identities"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.91.085014"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1341613,
      "adsabs": "2015arXiv150107150A"
    }
  }
}