{
  "id": "hep-th/9606155",
  "version": "v2",
  "published": "1996-06-25T13:12:17.000Z",
  "updated": "1997-05-15T18:17:59.000Z",
  "title": "A non-perturbative method of calculation of Green functions",
  "authors": [
    "V. E. Rochev"
  ],
  "comment": "13 pages, Plain LaTex, no figures, some discussion of results for anharmonic oscillator and a number of references are added, final version published in Journal of Physics A",
  "journal": "J.Phys.A30:3671-3680,1997",
  "doi": "10.1088/0305-4470/30/10/037",
  "categories": [
    "hep-th"
  ],
  "abstract": "A new method for non-perturbative calculation of Green functions in quantum mechanics and quantum field theory is proposed. The method is based on an approximation of Schwinger-Dyson equation for the generating functional by exactly soluble equation in functional derivatives. Equations of the leading approximation and the first step are solved for $\\phi^4_d$-model. At $d=1$ (anharmonic oscillator) the ground state energy is calculated. The renormalization program is performed for the field theory at $d=2,3$. At $d=4$ the renormalization of the coupling involves a trivialization of the theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-05-15T18:17:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "green functions",
      "non-perturbative method",
      "calculation",
      "quantum field theory",
      "ground state energy"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 420041
    }
  }
}