{
  "id": "1701.01508",
  "version": "v1",
  "published": "2017-01-05T23:54:17.000Z",
  "updated": "2017-01-05T23:54:17.000Z",
  "title": "On Neumann boundary conditions with null external quasi-momenta in finite size",
  "authors": [
    "Messias V. S. Santos",
    "José B. da Silva Jr.",
    "Marcelo M. Leite"
  ],
  "comment": "28 pages, 11 figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The order parameter of a critical system defined in a layered parallel plate geometry subject to Neumann boundary conditions at the limiting surfaces is studied. We utilize a one-particle irreducible vertex parts framework in order to study the critical behavior of such a system. The renormalized vertex parts are defined at zero external quasi-momenta, which makes the analysis particularly simple. The distance between the boundary plates $L$ characterizing the finite size system direction perpendicular to the hyperplanes plays a similar role here in comparison with our recent unified treatment for Neumann and Dirichlet boundary conditions. Critical exponents are computed using diagrammatic expansion at least up to two-loop order and are shown to be identical to those from the bulk theory (limit $L \\rightarrow \\infty$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-05T23:54:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neumann boundary conditions",
      "null external quasi-momenta",
      "finite size",
      "parallel plate geometry subject",
      "size system direction perpendicular"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}