{
  "id": "math-ph/0401048",
  "version": "v2",
  "published": "2004-01-28T02:34:53.000Z",
  "updated": "2004-02-01T06:28:14.000Z",
  "title": "On the Differential equations of the characters for the Renormalization group",
  "authors": [
    "Masato Sakakibara"
  ],
  "comment": "5 pages, no figures, AMS-LaTeX, minor corrections",
  "journal": "Mod.Phys.Lett. A19 (2004) 1453-1456",
  "doi": "10.1142/S0217732304014161",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Owing to the analogy between the Connes-Kreimer theory of the renormalization and the integrable systems, we derive the differential equations of the unit mass for the renormalized character $\\phi_+$ and the counter term $\\phi_-$. We give another proof for the scattering type formula of $\\phi_-$. The differential equation of the counter term of coordinate on ${\\mathbb P}^1$ is also given. The hierarchy of the renormalization groups is defined as the integrable systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-01T06:28:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "differential equation",
      "renormalization group",
      "counter term",
      "integrable systems",
      "unit mass"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 644789
    }
  }
}