{
  "id": "1610.00326",
  "version": "v1",
  "published": "2016-10-02T18:05:59.000Z",
  "updated": "2016-10-02T18:05:59.000Z",
  "title": "Instability of Chern-Simons Theory with Fermions at Large N",
  "authors": [
    "Chen Zhang"
  ],
  "categories": [
    "hep-th",
    "hep-ph"
  ],
  "abstract": "We study the (in)stability around the dynamical gap solution of the $U(N)$ Chern-Simons gauge theory with fundamental fermions (massless or massive) coupled in $D=3$ at large $N$. Explicit analyses on both the Auxiliary-Field (AF) and the Cornwall-Jackiw-Tomboulis (CJT) effective potentials are given. In both approaches we manage to analytically identify the saddle-point instability around the gap solution. We also give a comparison with the QCD-like theories. This study can help understanding the scale symmetry breaking picture of this theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-02T18:05:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chern-simons theory",
      "chern-simons gauge theory",
      "scale symmetry breaking picture",
      "dynamical gap solution",
      "fundamental fermions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}