{
  "id": "2001.09200",
  "version": "v1",
  "published": "2020-01-24T21:26:41.000Z",
  "updated": "2020-01-24T21:26:41.000Z",
  "title": "Phase diagram of the large $N$ Gross-Neveu model in a finite periodic box",
  "authors": [
    "Rajamani Narayanan"
  ],
  "comment": "26 pages, 12 figures",
  "categories": [
    "hep-th",
    "hep-lat",
    "hep-ph"
  ],
  "abstract": "We analyze the Gross-Neveu model in the limit of large number of flavors of massless fermions. We study the phase diagram in a two and three dimensional periodic box at a fixed thermal to spatial aspect ratio, $\\frac{\\beta}{\\ell}$, with a flavor independent chemical potential. We assume the bilinear condensate, when one exists, has a specific momentum in the spatial direction(s). The main known features of the phase diagram in the $\\ell\\to\\infty$ limit of the two dimensional model are also seen on a finite $\\ell\\times\\beta$ torus -- a phase with a homogeneous (zero momentum) condensate; a phase with an inhomogeneous (non-zero momentum) condensate and a phase with no condensate. We observe that the inhomogeneous phase contains several sub-phases characterized by a specific spatial momentum. Unlike the two dimensional model, we do not find evidence for a phase with a inhomogeneous condensate in the three dimensional model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-24T21:26:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase diagram",
      "finite periodic box",
      "gross-neveu model",
      "dimensional model",
      "condensate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}