{
  "id": "cond-mat/0206011",
  "version": "v1",
  "published": "2002-06-01T13:39:32.000Z",
  "updated": "2002-06-01T13:39:32.000Z",
  "title": "The $θ$ vacuum reveals itself as the fundamental theory of the quantum Hall effect. I. Confronting controversies",
  "authors": [
    "A. M. M. Pruisken",
    "M. A. Baranov",
    "M. Voropaev"
  ],
  "comment": "4 RevTex pages and 2 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The $\\theta$ dependence of the Grassmannian $U(m+n)/U(m)\\times U(n)$ non-linear $\\sigma$ model is reexamined. This general theory provides an important laboratory for studying the quantum Hall effect, in the special limit $m=n=0$ (replica limit). We discover however that the quantum Hall effect is in fact independent of this limit and exists as a generic topological feature of the theory for all non-negative values of $m$ and $n$. The results are in concflict with many of the historical ideas and expectations on the basis of the large $N$ expansion of the $CP^{N-1}$ or $SU(N)/U(N-1)$ model",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-01T13:39:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall effect",
      "fundamental theory",
      "confronting controversies",
      "general theory",
      "important laboratory"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002cond.mat..6011P"
    }
  }
}