{
  "id": "2003.06905",
  "version": "v1",
  "published": "2020-03-15T19:47:32.000Z",
  "updated": "2020-03-15T19:47:32.000Z",
  "title": "Model of bosonization by flux attachment on hamiltonian lattices of arbitrary dimension",
  "authors": [
    "Arkadiusz Bochniak",
    "Błażej Ruba"
  ],
  "categories": [
    "math-ph",
    "cond-mat.str-el",
    "hep-lat",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We present and prove the correctness of a bosonization prescription for fermionic lattice models in arbitrary dimensions. Our bosonized model is subject to constraints, which are interpreted in the language of lattice $\\mathbb{Z}_2$ gauge theory. Complete solutions of the constraints is found in the case of even-even spatial lattices. Further possible relations with other topologically non-trivial lattice models are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-15T19:47:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary dimension",
      "flux attachment",
      "hamiltonian lattices",
      "topologically non-trivial lattice models",
      "even-even spatial lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}