{
  "id": "cond-mat/0510778",
  "version": "v2",
  "published": "2005-10-28T10:15:53.000Z",
  "updated": "2006-03-02T16:08:49.000Z",
  "title": "Local scale-invariances in the bosonic contact and pair-contact processes",
  "authors": [
    "Florian Baumann",
    "Stoimen Stoimenov",
    "Malte Henkel"
  ],
  "comment": "Latex2e, 28 pp, with IOP macros. A new paragraphe was added in the first section. Version to appear in J. Phys. A: Math. Gen",
  "journal": "J.Phys. A39 (2006) 4095-4118",
  "doi": "10.1088/0305-4470/39/16/001",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Local scale-invariance for ageing systems without detailed balance is tested through studying the dynamical symmetries of the critical bosonic contact process and the critical bosonic pair-contact process.Their field-theoretical actions can be split into a Schr\\\"odinger-invariant term and a pure noise term. It is shown that the two-time response and correlation functions are reducible to certain multipoint response functions which depend only on the Schr\\\"odinger-invariant part of the action. For the bosonic contact process, the representation of the Schr\\\"odinger group can be derived from the free diffusion equation, whereas for the bosonic pair-contact process, a new representation of the Schr\\\"odinger group related to a non-linear Schr\\\"odinger equation with dimensionful couplings is constructed. The resulting predictions of local scale-invariance for the two-time responses and correlators are completely consistent with the exactly-known results in both models.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-02T16:08:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.Ht",
      "05.40.-a",
      "05.10.-a",
      "02.20.Qs"
    ],
    "keywords": [
      "local scale-invariance",
      "pair-contact processes",
      "two-time response",
      "critical bosonic pair-contact process",
      "pure noise term"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 698462
    }
  }
}