{
  "id": "1811.03615",
  "version": "v1",
  "published": "2018-11-08T18:58:41.000Z",
  "updated": "2018-11-08T18:58:41.000Z",
  "title": "BRST invariant RG flows",
  "authors": [
    "Shimasadat Asnafi",
    "Holger Gies",
    "Luca Zambelli"
  ],
  "comment": "19 pages, 4 figures",
  "categories": [
    "hep-th"
  ],
  "abstract": "A mass parameter for the gauge bosons in gauge-fixed four-dimensional Yang-Mills theory can be accommodated in a local and manifestly BRST-invariant action. The construction is based on the Faddeev-Popov method involving a nonlinear gauge-fixing and a background Nakanishi-Lautrup field. When applied to momentum-dependent masslike deformations, this formalism leads to a full regularization of the theory which explicitly preserves BRST symmetry. We deduce a functional renormalization group equation for the one-particle-irreducible effective action, which has a one-loop form. The master equation is compatible with it, i.e. BRST symmetry is preserved along the flow, and it has a standard regulator-independent Zinn-Justin form. As a first application, we compute the leading-order gluon wave-function renormalization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-08T18:58:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brst invariant rg flows",
      "functional renormalization group equation",
      "leading-order gluon wave-function renormalization",
      "standard regulator-independent zinn-justin form",
      "gauge-fixed four-dimensional yang-mills theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}