{
  "id": "cond-mat/0511529",
  "version": "v1",
  "published": "2005-11-22T06:27:06.000Z",
  "updated": "2005-11-22T06:27:06.000Z",
  "title": "Why one needs a functional renormalization group to survive in a disordered world",
  "authors": [
    "Kay Joerg Wiese"
  ],
  "comment": "Proceedings of STATPHYS 22",
  "journal": "Pramana 64 (2005) 817-827",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "In these proceedings, we discuss why functional renormalization is an essential tool to treat strongly disordered systems. More specifically, we treat elastic manifolds in a disordered environment. These are governed by a disorder distribution, which after a finite renormalization becomes non-analytic, thus overcoming the predictions of the seemingly exact dimensional reduction. We discuss how a renormalizable field theory can be constructed even beyond 2-loop order. We then consider an elastic manifold embedded in N dimensions, and give the exact solution for N to infinity. This is compared to predictions of the Gaussian replica variational ansatz, using replica symmetry breaking. Finally, the effective action at order 1/N is reported.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-22T06:27:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "functional renormalization group",
      "disordered world",
      "gaussian replica variational ansatz",
      "treat elastic manifolds",
      "seemingly exact dimensional reduction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}