{
  "id": "1202.1297",
  "version": "v1",
  "published": "2012-02-06T21:19:19.000Z",
  "updated": "2012-02-06T21:19:19.000Z",
  "title": "Comparison of Some Exact and Perturbative Results for a Supersymmetric SU($N_c$) Gauge Theory",
  "authors": [
    "Thomas A. Ryttov",
    "Robert Shrock"
  ],
  "comment": "16 pages, 3 figures",
  "journal": "Phys. Rev. D85, 076009 (2012)",
  "doi": "10.1103/PhysRevD.85.076009",
  "categories": [
    "hep-ph",
    "hep-lat",
    "hep-th"
  ],
  "abstract": "We consider vectorial, asymptotically free ${\\cal N}=1$ supersymmetric SU($N_c$) gauge theories with $N_f$ copies of massless chiral super fields in various representations and study how perturbative predictions for the lower boundary of the infrared conformal phase, as a function of $N_f$, compare with exact results. We make use of two-loop and three-loop calculations of the beta function and anomalous dimension of the quadratic chiral super field operator product for this purpose. The specific chiral superfield contents that we consider are $N_f$ copies of (i) $F+\\bar F$, (ii) $Adj$, (iii) $S_2+\\bar S_2$, and (iv) $A_2 + \\bar A_2$, where $F$, $Adj$, $S_2$, and $A_2$ denote, respectively, the fundamental, adjoint, and symmetric and antisymmetric rank-2 tensor representations. We find that perturbative results slightly overestimate the value of $N_{f,cr}$ relative to the respective exact results for these representations, i.e., slightly underestimate the interval in $N_f$ for which the theory has infrared conformal behavior. Our results provide a measure of how closely perturbative calculations reproduce exact results for these theories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-06T21:19:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.-q",
      "11.30.Pb",
      "11.10.Hi"
    ],
    "keywords": [
      "supersymmetric su",
      "gauge theory",
      "perturbative results",
      "super field operator product",
      "chiral super field operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2012,
      "month": "Apr",
      "volume": 85,
      "number": 7,
      "pages": "076009"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1088233,
      "adsabs": "2012PhRvD..85g6009R"
    }
  }
}