{
  "id": "hep-th/9510240",
  "version": "v1",
  "published": "1995-10-31T18:24:40.000Z",
  "updated": "1995-10-31T18:24:40.000Z",
  "title": "Non-Trivial Directions for Scalar Fields",
  "authors": [
    "Ken Halpern",
    "Kerson Huang"
  ],
  "comment": "UUencoded LaTex, 15 pages + 3 postscript figures",
  "journal": "Phys.Rev. D53 (1996) 3252-3259",
  "doi": "10.1103/PhysRevD.53.3252",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study the eigenvectors of the renormalization-group matrix for scalar fields at the Gaussian fixed point, and find that that there exist ``relevant'' directions in parameter space. They correspond to theories with exponential potentials that are nontrivial and asymptotically free. All other potentials, including polynomial potentials, are ``irrelevant,'' and lead to trivial theories. Away from the Gaussian fixed point, renormalization does not induce derivative couplings, but it generates non-local interactions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-10-31T18:24:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.10.Lm",
      "11.10.Hi",
      "11.10.Kk"
    ],
    "keywords": [
      "scalar fields",
      "non-trivial directions",
      "gaussian fixed point",
      "generates non-local interactions",
      "exponential potentials"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 401632
    }
  }
}