{
  "id": "hep-lat/9808026",
  "version": "v2",
  "published": "1998-08-21T09:08:02.000Z",
  "updated": "1998-09-08T08:49:54.000Z",
  "title": "Axial vector current of exact chiral symmetry on the lattice",
  "authors": [
    "Yoshio Kikukawa",
    "Atsushi Yamada"
  ],
  "comment": "14 pages, LaTeX2e, some corrections in references, typo fixed, a discussion of the property of the current kernel added",
  "journal": "Nucl.Phys. B547 (1999) 413-423",
  "doi": "10.1016/S0550-3213(99)00059-0",
  "categories": [
    "hep-lat"
  ],
  "abstract": "We discuss the exact chiral symmetry and its spontaneous breakdown in lattice QCD with the Dirac operators satisfying the Ginsparg-Wilson relation. The axial vector current, which turns out to be related to the vector current simply by the insertion of the operator \\gamma_5 (1-aD), is explicitly constructed in the case of the Neuberger-Dirac operator. We also consider an Euclidean proof of the Nambu-Goldstone theorem using the Ward-Takahashi identity of this symmetry.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-09-08T08:49:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.Ha",
      "11.30.Rd"
    ],
    "keywords": [
      "exact chiral symmetry",
      "axial vector current",
      "dirac operators",
      "lattice qcd",
      "ginsparg-wilson relation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 475118
    }
  }
}