{
  "id": "1209.3207",
  "version": "v4",
  "published": "2012-09-14T14:43:07.000Z",
  "updated": "2015-05-23T13:20:49.000Z",
  "title": "Spectral theory of a mathematical model in Quantum Field Theory for any spin",
  "authors": [
    "Jean-Claude Guillot"
  ],
  "comment": "published in Contemporary Mathematics, vol 640, 13-37, 2015",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "In this paper we use the formalism of S.Weinberg in order to construct a mathematical model based on the weak decay of hadrons and nuclei. In particular we consider a model which generalizes the weak decay of the nucleus of the cobalt. We associate with this model a Hamiltonian with cutoffs in a Fock space. The Hamiltonian is self-adjoint and has an unique ground state. By using the commutator theory we get a limiting absorption principle from which we deduce that the spectrum of the Hamiltonian is absolutely continuous above the energy of the ground state and below the first threshold.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-11-05T16:43:02.000Z",
      "abstract": "In this paper we use the formalism of S.Weinberg in order to construct a mathematical model based on the weak decay of hadrons and nuclei. In particular we consider a model which generalizes the weak decay the nucleus of the cobalt. We associate with this model a Hamiltonian with cutoffs in a Fock space. The Hamiltonian is self-adjoint and has an unique ground state. By using the commutator theory we get a limiting absorption principle from which we deduce that the spectrum of the Hamiltonian is absolutely continuous above the energy of the ground state and below the first threshold.",
      "comment": "corrected typos",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-05-23T13:20:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum field theory",
      "mathematical model",
      "spectral theory",
      "weak decay",
      "unique ground state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1186028,
      "adsabs": "2012arXiv1209.3207G"
    }
  }
}