{
  "id": "0901.1571",
  "version": "v1",
  "published": "2009-01-12T13:27:05.000Z",
  "updated": "2009-01-12T13:27:05.000Z",
  "title": "Formfactor perturbation expansions and confinement in the Ising field theory",
  "authors": [
    "S. B. Rutkevich"
  ],
  "comment": "28 pages, 4 figures",
  "journal": "J. Phys. A: Vol. 42, 304025 (2009)",
  "doi": "10.1088/1751-8113/42/30/304025",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We study the particle spectrum M_n(h) in the two-dimensional ferromagnetic Ising field theory in a weak external magnetic field h. According to Wu and McCoy scenario of the weak confinement, pairs of fermions (domain walls) are coupled into bosonic kink-antikink bound states at small h>0. Fluctuations with more than two fermions also contribute to the wave functions of the compound particles, leading to the multi-fermion corrections to their masses M_n(h) in higher orders in h. We describe a perturbative procedure, which allows to account both multi-fermion fluctuations, and the long-range confining interaction between fermions, and leads to the formfactor expansions for the renormalized parameters of the model. We obtain integral representations for the third-order multi-fermion correction to the mass M_n(h), which arise from the regular correction to the kernel of the Bethe-Salpeter equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-12T13:27:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "formfactor perturbation expansions",
      "confinement",
      "multi-fermion correction",
      "weak external magnetic field",
      "bosonic kink-antikink bound states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Jul",
      "volume": 42,
      "number": 30,
      "pages": 304025
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42D4025R"
    }
  }
}