{
  "id": "cond-mat/0310353",
  "version": "v1",
  "published": "2003-10-15T15:20:12.000Z",
  "updated": "2003-10-15T15:20:12.000Z",
  "title": "Pions versus Magnons: From QCD to Antiferromagnets and Quantum Hall Ferromagnets",
  "authors": [
    "O. Bar",
    "M. Imboden",
    "U. -J. Wiese"
  ],
  "comment": "34 pages, no figures",
  "journal": "Nucl.Phys. B686 (2004) 347",
  "doi": "10.1016/j.nuclphysb.2003.12.041",
  "categories": [
    "cond-mat.mes-hall",
    "hep-th"
  ],
  "abstract": "The low-energy dynamics of pions and magnons -- the Goldstone bosons of the strong interactions and of magnetism -- are analogous in many ways. The electroweak interactions of pions result from gauging an SU(2)_L x U(1)_Y symmetry which then breaks to the U(1)_{em} gauge symmetry of electromagnetism. The electromagnetic interactions of magnons arise from gauging not only U(1)_{em} but also the SU(2)_s spin rotational symmetry, with the electromagnetic fields E and B appearing as non-Abelian vector potentials. Pions couple to electromagnetism through a Goldstone-Wilczek current that represents the baryon number of Skyrmions and gives rise to the decay \\pi^0 to \\gamma \\gamma. Similarly, magnons may couple to an analogue of the Goldstone-Wilczek current for baby-Skyrmions which induces a magnon-two-photon vertex. The corresponding analogue of photon-axion conversion is photon-magnon conversion in an external magnetic field. The baryon number violating decay of Skyrmions can be catalyzed by a magnetic monopole via the Callan-Rubakov effect. Similarly, baby-Skyrmion decay can be catalyzed by a charged wire. For more than two flavors, the Wess-Zumino-Witten term enters the low-energy pion theory with a quantized prefactor N_c -- the number of quark colors. The magnon analogue of this prefactor is the anyon statistics angle \\theta which need not be quantized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-15T15:20:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall ferromagnets",
      "antiferromagnets",
      "goldstone-wilczek current",
      "wess-zumino-witten term enters",
      "baryon number violating decay"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 630854
    }
  }
}