{
  "id": "1711.08435",
  "version": "v1",
  "published": "2017-11-22T18:33:28.000Z",
  "updated": "2017-11-22T18:33:28.000Z",
  "title": "Tree-level gluon amplitudes on the celestial sphere",
  "authors": [
    "Anders Schreiber",
    "Anastasia Volovich",
    "Michael Zlotnikov"
  ],
  "comment": "13 pages",
  "categories": [
    "hep-th"
  ],
  "abstract": "Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary $n$-point tree-level gluon amplitudes. The Mellin transforms of MHV amplitudes are given by generalized hypergeometric functions on the Grassmannian $Gr(4,n)$, while generic non-MHV amplitudes are given by more complicated Gelfand $A$-hypergeometric functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-22T18:33:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "celestial sphere",
      "mellin transform",
      "point tree-level gluon amplitudes",
      "generic non-mhv amplitudes",
      "generalized hypergeometric functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}