{
  "id": "1903.09672",
  "version": "v1",
  "published": "2019-03-22T18:38:47.000Z",
  "updated": "2019-03-22T18:38:47.000Z",
  "title": "Large-$N_c$ and Large-$N_F$ Limits of SU($N_c$) Gauge Theories with Fermions in Different Representations",
  "authors": [
    "Sudhakantha Girmohanta",
    "Thomas A. Ryttov",
    "Robert Shrock"
  ],
  "comment": "18 pages, RevTex",
  "categories": [
    "hep-th"
  ],
  "abstract": "We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU($N_c$) gauge theories with fermions transforming according to two different representations. We first study a theory with $N_f$ fermions in the fundamental representation and $N_{f'}$ fermions in the adjoint or symmetric or antisymmetric rank-2 tensor representation, in the limit $N_c \\to \\infty$, $N_f \\to \\infty$ with $N_f/N_c$ fixed and finite. We then study the $N_c \\to \\infty$ limit of a theory with fermions in the adjoint and rank-2 symmetric or antisymmetric tensor representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-22T18:38:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theories",
      "gauge-invariant fermion bilinear operators",
      "antisymmetric tensor representations",
      "scheme-independent series expansions",
      "fundamental representation"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}