{
  "id": "2204.12896",
  "version": "v1",
  "published": "2022-04-27T13:01:14.000Z",
  "updated": "2022-04-27T13:01:14.000Z",
  "title": "Reflection positivity and infrared bounds for quantum spin systems",
  "authors": [
    "Jakob E. Björnberg",
    "Daniel Ueltschi"
  ],
  "comment": "31 pages, 3 figures. This article is dedicated to Elliott Lieb on the occasion of his 90th birthday",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The method of reflection positivity and infrared bounds allows to prove the occurrence of phase transitions in systems with continuous symmetries. We review the method in the context of quantum spin systems. The novel aspect is a proof for long-range interactions that involve the Euclidean distance between sites.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-27T13:01:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B10",
      "82B20",
      "82B26"
    ],
    "keywords": [
      "quantum spin systems",
      "reflection positivity",
      "infrared bounds",
      "phase transitions",
      "novel aspect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}