{
  "id": "hep-ph/9806446",
  "version": "v1",
  "published": "1998-06-22T22:00:49.000Z",
  "updated": "1998-06-22T22:00:49.000Z",
  "title": "Chiral Symmetry Breaking in 2+1 dimensions due to Sphalerons",
  "authors": [
    "Indranil Dasgupta",
    "L. C. R. Wijewardhana"
  ],
  "comment": "15 pages, LaTex, 1 figure, uses epsf",
  "journal": "Phys.Rev. D58 (1998) 116004",
  "doi": "10.1103/PhysRevD.58.116004",
  "categories": [
    "hep-ph"
  ],
  "abstract": "In 2+1 dimensional gauge thories with $SU(N_c)$ color and $2N_f$ flavors of quarks in the fundamental representation, sphalerons, if present may lead to quark condensation and chiral symmetry breaking. The effect is similar to instanton induced chiral symmetry breaking in 3+1 dimensions and is due to the interaction of quark propagators with sphalerons. The existence of sphalerons requires that color symmetries be broken by a Higgs in the fundamental representation. We show that the sphaleron effect may persist for arbitrarily large $N_f$ but vanishes along with the mass of the gauge fields corresponding to broken generators of $SU(N_c)$. The effect is inherently non-Abelian and absent for QED.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-22T22:00:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensions",
      "fundamental representation",
      "dimensional gauge thories",
      "broken generators",
      "quark condensation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 472164
    }
  }
}