{
  "id": "1206.2630",
  "version": "v1",
  "published": "2012-06-12T19:41:30.000Z",
  "updated": "2012-06-12T19:41:30.000Z",
  "title": "Form factor approach to dynamical correlation functions in critical models",
  "authors": [
    "N. Kitanine",
    "K. K. Kozlowski",
    "J. M. Maillet",
    "N. A. Slavnov",
    "V. Terras"
  ],
  "comment": "33 pages",
  "categories": [
    "math-ph",
    "cond-mat.quant-gas",
    "hep-th",
    "math.MP",
    "nlin.SI",
    "quant-ph"
  ],
  "abstract": "We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\\\"odinger model. We derive long-distance/long-time asymptotic behavior of various two-point functions of this model. We also compute edge exponents and amplitudes characterizing the power-law behavior of dynamical response functions on the particle/hole excitation thresholds. These last results confirm predictions based on the non-linear Luttinger liquid method. Our results rely on a first principles derivation, based on the microscopic analysis of the model, without invoking, at any stage, some correspondence with a continuous field theory. Furthermore, our approach only makes use of certain general properties of the model, so that it should be applicable, with possibly minor modifications, to a wide class of (not necessarily integrable) gapless one dimensional Hamiltonians.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-12T19:41:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "form factor approach",
      "dynamical correlation functions",
      "critical models",
      "non-linear luttinger liquid method",
      "derive long-distance/long-time asymptotic behavior"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2012/09/P09001",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2012,
      "month": "Sep",
      "volume": 2012,
      "number": 9,
      "pages": 9001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1118080,
      "adsabs": "2012JSMTE..09..001K"
    }
  }
}