{
  "id": "1711.03027",
  "version": "v1",
  "published": "2017-11-08T16:06:00.000Z",
  "updated": "2017-11-08T16:06:00.000Z",
  "title": "Current algebra, statistical mechanics and quantum models",
  "authors": [
    "R. Vilela Mendes"
  ],
  "comment": "30 pages Latex, 2 figures",
  "journal": "J. Stat. Mech. (2017) 113104",
  "doi": "10.1088/1742-5468/aa9342",
  "categories": [
    "quant-ph",
    "cond-mat.supr-con",
    "physics.atom-ph"
  ],
  "abstract": "Results obtained in the past for free boson systems at zero and nonzero temperature are revisited to clarify the physical meaning of current algebra reducible functionals which are associated to systems with density fluctuations, leading to observable effects on phase transitions. To use current algebra as a tool for the formulation of quantum statistical mechanics amounts to the construction of unitary representations of diffeomorphism groups. Two mathematical equivalent procedures exist for this purpose. One searches for quasi-invariant measures on configuration spaces, the other for a cyclic vector in Hilbert space. Here, one argues that the second approach is closer to the physical intuition when modelling complex systems. An example of application of the current algebra methodology to the pairing phenomenon in two-dimensional fermion systems is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-08T16:06:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum models",
      "two-dimensional fermion systems",
      "free boson systems",
      "current algebra methodology",
      "current algebra reducible functionals"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}