{
  "id": "1005.4235",
  "version": "v1",
  "published": "2010-05-23T22:07:25.000Z",
  "updated": "2010-05-23T22:07:25.000Z",
  "title": "On the mixing property for a class of states of relativistic quantum fields",
  "authors": [
    "Christian D. Jaekel",
    "Heide Narnhofer",
    "Walter F. Wreszinski"
  ],
  "journal": "Journal in Mathematical Physics 51, 2010",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let $\\omega$ be a factor state on the quasi-local algebra $\\cal{A}$ of observables generated by a relativistic quantum field, which in addition satisfies certain regularity conditions (satisfied by ground states and the recently constructed thermal states of the $P(\\phi)_2$ theory). We prove that there exist space and time translation invariant states, some of which are arbitrarily close to $\\omega$ in the weak* topology, for which the time evolution is weakly asymptotically abelian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-23T22:07:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.10.-z"
    ],
    "keywords": [
      "relativistic quantum field",
      "mixing property",
      "time translation invariant states",
      "ground states",
      "factor state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3372623",
      "journal": "Journal of Mathematical Physics",
      "year": 2010,
      "month": "May",
      "volume": 51,
      "number": 5,
      "pages": 2703
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JMP....51e2703J"
    }
  }
}