{
  "id": "1212.6156",
  "version": "v2",
  "published": "2012-12-26T10:38:51.000Z",
  "updated": "2013-05-21T11:04:01.000Z",
  "title": "Non-local representations of the ageing algebra in higher dimensions",
  "authors": [
    "Stoimen Stoimenov",
    "Malte Henkel"
  ],
  "comment": "21 pages, LATEX2e (final form)",
  "journal": "J. Phys A: Math. Theor. 46, 245004 (2013)",
  "doi": "10.1088/1751-8113/46/24/245004",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP",
    "math.RT"
  ],
  "abstract": "The ageing Lie algebra age(d) and especially its local representations for a dynamical exponent z=2 has played an important r\\^ole in the description of systems undergoing simple ageing, after a quench from a disordered state to the low-temperature phase. Here, the construction of representations of age(d) for generic values of z is described for any space dimension d>1, generalising upon earlier results for d=1. The mechanism for the closure of the Lie algebra is explained. The Lie algebra generators contain higher-order differential operators or the Riesz fractional derivative. Co-variant two-time response functions are derived. Some simple applications to exactly solvable models of phase separation or interface growth with conserved dynamics are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-21T11:04:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.25.Hf",
      "02.20.Sv",
      "64.70.qj",
      "03.65.Pm"
    ],
    "keywords": [
      "higher dimensions",
      "non-local representations",
      "ageing algebra",
      "algebra generators contain higher-order differential",
      "generators contain higher-order differential operators"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2013,
      "month": "Jun",
      "volume": 46,
      "number": 24,
      "pages": 245004
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1209052,
      "adsabs": "2013JPhA...46x5004S"
    }
  }
}